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Wer den Winkel lieber zwischen ",[573,968,970,990],{"className":969},[576],[573,971,973],{"className":972},[580],[582,974,975],{"xmlns":584},[586,976,977,987],{},[589,978,979],{},[815,980,981,984],{},[697,982,983],{},"0",[732,985,986],{},"∘",[596,988,989],{"encoding":598},"0^\\circ",[573,991,993],{"className":992,"ariaHidden":604},[603],[573,994,996,1000],{"className":995},[608],[573,997],{"className":998,"style":999},[612],"height:0.6741em;",[573,1001,1003,1006],{"className":1002},[617],[573,1004,983],{"className":1005},[617],[573,1007,1009],{"className":1008},[852],[573,1010,1012],{"className":1011},[856],[573,1013,1015],{"className":1014},[860],[573,1016,1018],{"className":1017,"style":999},[864],[573,1019,1021,1024],{"style":1020},"top:-3.063em;margin-right:0.05em;",[573,1022],{"className":1023,"style":872},[871],[573,1025,1027],{"className":1026},[876,877,878,879],[573,1028,986],{"className":1029},[1030,879],"mbin"," und ",[573,1033,1035,1054],{"className":1034},[576],[573,1036,1038],{"className":1037},[580],[582,1039,1040],{"xmlns":584},[586,1041,1042,1051],{},[589,1043,1044],{},[815,1045,1046,1049],{},[697,1047,1048],{},"180",[732,1050,986],{},[596,1052,1053],{"encoding":598},"180^\\circ",[573,1055,1057],{"className":1056,"ariaHidden":604},[603],[573,1058,1060,1063,1067],{"className":1059},[608],[573,1061],{"className":1062,"style":999},[612],[573,1064,1066],{"className":1065},[617],"18",[573,1068,1070,1073],{"className":1069},[617],[573,1071,983],{"className":1072},[617],[573,1074,1076],{"className":1075},[852],[573,1077,1079],{"className":1078},[856],[573,1080,1082],{"className":1081},[860],[573,1083,1085],{"className":1084,"style":999},[864],[573,1086,1087,1090],{"style":1020},[573,1088],{"className":1089,"style":872},[871],[573,1091,1093],{"className":1092},[876,877,878,879],[573,1094,986],{"className":1095},[1030,879]," angibt, rechnet bei fallenden Geraden ",[573,1098,1100,1123],{"className":1099},[576],[573,1101,1103],{"className":1102},[580],[582,1104,1105],{"xmlns":584},[586,1106,1107,1120],{},[589,1108,1109,1115,1118],{},[815,1110,1111,1113],{},[697,1112,1048],{},[732,1114,986],{},[732,1116,1117],{},"+",[592,1119,594],{},[596,1121,1122],{"encoding":598},"180^\\circ + \\alpha",[573,1124,1126,1175],{"className":1125,"ariaHidden":604},[603],[573,1127,1129,1133,1136,1165,1169,1172],{"className":1128},[608],[573,1130],{"className":1131,"style":1132},[612],"height:0.7574em;vertical-align:-0.0833em;",[573,1134,1066],{"className":1135},[617],[573,1137,1139,1142],{"className":1138},[617],[573,1140,983],{"className":1141},[617],[573,1143,1145],{"className":1144},[852],[573,1146,1148],{"className":1147},[856],[573,1149,1151],{"className":1150},[860],[573,1152,1154],{"className":1153,"style":999},[864],[573,1155,1156,1159],{"style":1020},[573,1157],{"className":1158,"style":872},[871],[573,1160,1162],{"className":1161},[876,877,878,879],[573,1163,986],{"className":1164},[1030,879],[573,1166],{"className":1167,"style":1168},[780],"margin-right:0.2222em;",[573,1170,1117],{"className":1171},[1030],[573,1173],{"className":1174,"style":1168},[780],[573,1176,1178,1181],{"className":1177},[608],[573,1179],{"className":1180,"style":613},[612],[573,1182,594],{"className":1183,"style":619},[617,618]," (mit negativem ",[573,1186,1188,1201],{"className":1187},[576],[573,1189,1191],{"className":1190},[580],[582,1192,1193],{"xmlns":584},[586,1194,1195,1199],{},[589,1196,1197],{},[592,1198,594],{},[596,1200,599],{"encoding":598},[573,1202,1204],{"className":1203,"ariaHidden":604},[603],[573,1205,1207,1210],{"className":1206},[608],[573,1208],{"className":1209,"style":613},[612],[573,1211,594],{"className":1212,"style":619},[617,618],", der Winkel wird also kleiner als ",[573,1215,1217,1234],{"className":1216},[576],[573,1218,1220],{"className":1219},[580],[582,1221,1222],{"xmlns":584},[586,1223,1224,1232],{},[589,1225,1226],{},[815,1227,1228,1230],{},[697,1229,1048],{},[732,1231,986],{},[596,1233,1053],{"encoding":598},[573,1235,1237],{"className":1236,"ariaHidden":604},[603],[573,1238,1240,1243,1246],{"className":1239},[608],[573,1241],{"className":1242,"style":999},[612],[573,1244,1066],{"className":1245},[617],[573,1247,1249,1252],{"className":1248},[617],[573,1250,983],{"className":1251},[617],[573,1253,1255],{"className":1254},[852],[573,1256,1258],{"className":1257},[856],[573,1259,1261],{"className":1260},[860],[573,1262,1264],{"className":1263,"style":999},[864],[573,1265,1266,1269],{"style":1020},[573,1267],{"className":1268,"style":872},[871],[573,1270,1272],{"className":1271},[876,877,878,879],[573,1273,986],{"className":1274},[1030,879],"). Eine senkrechte Gerade (",[573,1277,1279,1302],{"className":1278},[576],[573,1280,1282],{"className":1281},[580],[582,1283,1284],{"xmlns":584},[586,1285,1286,1299],{},[589,1287,1288,1290,1292],{},[592,1289,594],{},[732,1291,746],{},[815,1293,1294,1297],{},[697,1295,1296],{},"90",[732,1298,986],{},[596,1300,1301],{"encoding":598},"\\alpha = 90^\\circ",[573,1303,1305,1323],{"className":1304,"ariaHidden":604},[603],[573,1306,1308,1311,1314,1317,1320],{"className":1307},[608],[573,1309],{"className":1310,"style":613},[612],[573,1312,594],{"className":1313,"style":619},[617,618],[573,1315],{"className":1316,"style":781},[780],[573,1318,746],{"className":1319},[785],[573,1321],{"className":1322,"style":781},[780],[573,1324,1326,1329,1333],{"className":1325},[608],[573,1327],{"className":1328,"style":999},[612],[573,1330,1332],{"className":1331},[617],"9",[573,1334,1336,1339],{"className":1335},[617],[573,1337,983],{"className":1338},[617],[573,1340,1342],{"className":1341},[852],[573,1343,1345],{"className":1344},[856],[573,1346,1348],{"className":1347},[860],[573,1349,1351],{"className":1350,"style":999},[864],[573,1352,1353,1356],{"style":1020},[573,1354],{"className":1355,"style":872},[871],[573,1357,1359],{"className":1358},[876,877,878,879],[573,1360,986],{"className":1361},[1030,879],") hat keine Steigung und ist durch die Bedingung ausgeschlossen.",[560,1364,1366],{"id":1365},"beispiele","Beispiele",[565,1368,1369,1420,1421,798],{},[573,1370,1372,1390],{"className":1371},[576],[573,1373,1375],{"className":1374},[580],[582,1376,1377],{"xmlns":584},[586,1378,1379,1387],{},[589,1380,1381,1383,1385],{},[592,1382,639],{},[732,1384,746],{},[697,1386,699],{},[596,1388,1389],{"encoding":598},"m = 1",[573,1391,1393,1411],{"className":1392,"ariaHidden":604},[603],[573,1394,1396,1399,1402,1405,1408],{"className":1395},[608],[573,1397],{"className":1398,"style":613},[612],[573,1400,639],{"className":1401},[617,618],[573,1403],{"className":1404,"style":781},[780],[573,1406,746],{"className":1407},[785],[573,1409],{"className":1410,"style":781},[780],[573,1412,1414,1417],{"className":1413},[608],[573,1415],{"className":1416,"style":711},[612],[573,1418,699],{"className":1419},[617],": ",[573,1422,1424,1459],{"className":1423},[576],[573,1425,1427],{"className":1426},[580],[582,1428,1429],{"xmlns":584},[586,1430,1431,1456],{},[589,1432,1433,1435,1437,1439,1441,1443,1445,1447,1449],{},[592,1434,594],{},[732,1436,746],{},[592,1438,913],{},[732,1440,734],{},[732,1442,738],{"stretchy":737},[697,1444,699],{},[732,1446,743],{"stretchy":737},[732,1448,746],{},[815,1450,1451,1454],{},[697,1452,1453],{},"45",[732,1455,986],{},[596,1457,1458],{"encoding":598},"\\alpha = \\arctan(1) = 45^\\circ",[573,1460,1462,1480,1507],{"className":1461,"ariaHidden":604},[603],[573,1463,1465,1468,1471,1474,1477],{"className":1464},[608],[573,1466],{"className":1467,"style":613},[612],[573,1469,594],{"className":1470,"style":619},[617,618],[573,1472],{"className":1473,"style":781},[780],[573,1475,746],{"className":1476},[785],[573,1478],{"className":1479,"style":781},[780],[573,1481,1483,1486,1489,1492,1495,1498,1501,1504],{"className":1482},[608],[573,1484],{"className":1485,"style":761},[612],[573,1487,913],{"className":1488},[765],[573,1490,738],{"className":1491},[769],[573,1493,699],{"className":1494},[617],[573,1496,743],{"className":1497},[776],[573,1499],{"className":1500,"style":781},[780],[573,1502,746],{"className":1503},[785],[573,1505],{"className":1506,"style":781},[780],[573,1508,1510,1513,1517],{"className":1509},[608],[573,1511],{"className":1512,"style":999},[612],[573,1514,1516],{"className":1515},[617],"4",[573,1518,1520,1524],{"className":1519},[617],[573,1521,1523],{"className":1522},[617],"5",[573,1525,1527],{"className":1526},[852],[573,1528,1530],{"className":1529},[856],[573,1531,1533],{"className":1532},[860],[573,1534,1536],{"className":1535,"style":999},[864],[573,1537,1538,1541],{"style":1020},[573,1539],{"className":1540,"style":872},[871],[573,1542,1544],{"className":1543},[876,877,878,879],[573,1545,986],{"className":1546},[1030,879],[565,1548,1549,1420,1613,798],{},[573,1550,1552,1571],{"className":1551},[576],[573,1553,1555],{"className":1554},[580],[582,1556,1557],{"xmlns":584},[586,1558,1559,1568],{},[589,1560,1561,1563,1565],{},[592,1562,639],{},[732,1564,746],{},[697,1566,1567],{},"0,5",[596,1569,1570],{"encoding":598},"m = 0{,}5",[573,1572,1574,1592],{"className":1573,"ariaHidden":604},[603],[573,1575,1577,1580,1583,1586,1589],{"className":1576},[608],[573,1578],{"className":1579,"style":613},[612],[573,1581,639],{"className":1582},[617,618],[573,1584],{"className":1585,"style":781},[780],[573,1587,746],{"className":1588},[785],[573,1590],{"className":1591,"style":781},[780],[573,1593,1595,1599,1602,1610],{"className":1594},[608],[573,1596],{"className":1597,"style":1598},[612],"height:0.8389em;vertical-align:-0.1944em;",[573,1600,983],{"className":1601},[617],[573,1603,1605],{"className":1604},[617],[573,1606,1609],{"className":1607},[1608],"mpunct",",",[573,1611,1523],{"className":1612},[617],[573,1614,1616,1652],{"className":1615},[576],[573,1617,1619],{"className":1618},[580],[582,1620,1621],{"xmlns":584},[586,1622,1623,1649],{},[589,1624,1625,1627,1629,1631,1633,1635,1637,1639,1642],{},[592,1626,594],{},[732,1628,746],{},[592,1630,913],{},[732,1632,734],{},[732,1634,738],{"stretchy":737},[697,1636,1567],{},[732,1638,743],{"stretchy":737},[732,1640,1641],{},"≈",[815,1643,1644,1647],{},[697,1645,1646],{},"26,57",[732,1648,986],{},[596,1650,1651],{"encoding":598},"\\alpha = \\arctan(0{,}5) \\approx 26{,}57^\\circ",[573,1653,1655,1673,1709],{"className":1654,"ariaHidden":604},[603],[573,1656,1658,1661,1664,1667,1670],{"className":1657},[608],[573,1659],{"className":1660,"style":613},[612],[573,1662,594],{"className":1663,"style":619},[617,618],[573,1665],{"className":1666,"style":781},[780],[573,1668,746],{"className":1669},[785],[573,1671],{"className":1672,"style":781},[780],[573,1674,1676,1679,1682,1685,1688,1694,1697,1700,1703,1706],{"className":1675},[608],[573,1677],{"className":1678,"style":761},[612],[573,1680,913],{"className":1681},[765],[573,1683,738],{"className":1684},[769],[573,1686,983],{"className":1687},[617],[573,1689,1691],{"className":1690},[617],[573,1692,1609],{"className":1693},[1608],[573,1695,1523],{"className":1696},[617],[573,1698,743],{"className":1699},[776],[573,1701],{"className":1702,"style":781},[780],[573,1704,1641],{"className":1705},[785],[573,1707],{"className":1708,"style":781},[780],[573,1710,1712,1716,1720,1726,1729],{"className":1711},[608],[573,1713],{"className":1714,"style":1715},[612],"height:0.8686em;vertical-align:-0.1944em;",[573,1717,1719],{"className":1718},[617],"26",[573,1721,1723],{"className":1722},[617],[573,1724,1609],{"className":1725},[1608],[573,1727,1523],{"className":1728},[617],[573,1730,1732,1736],{"className":1731},[617],[573,1733,1735],{"className":1734},[617],"7",[573,1737,1739],{"className":1738},[852],[573,1740,1742],{"className":1741},[856],[573,1743,1745],{"className":1744},[860],[573,1746,1748],{"className":1747,"style":999},[864],[573,1749,1750,1753],{"style":1020},[573,1751],{"className":1752,"style":872},[871],[573,1754,1756],{"className":1755},[876,877,878,879],[573,1757,986],{"className":1758},[1030,879],[565,1760,1761,1420,1819,1964,1965,2023,2024,2085,2086,798],{},[573,1762,1764,1785],{"className":1763},[576],[573,1765,1767],{"className":1766},[580],[582,1768,1769],{"xmlns":584},[586,1770,1771,1782],{},[589,1772,1773,1775,1777,1779],{},[592,1774,639],{},[732,1776,746],{},[732,1778,827],{},[697,1780,1781],{},"2",[596,1783,1784],{"encoding":598},"m = -2",[573,1786,1788,1806],{"className":1787,"ariaHidden":604},[603],[573,1789,1791,1794,1797,1800,1803],{"className":1790},[608],[573,1792],{"className":1793,"style":613},[612],[573,1795,639],{"className":1796},[617,618],[573,1798],{"className":1799,"style":781},[780],[573,1801,746],{"className":1802},[785],[573,1804],{"className":1805,"style":781},[780],[573,1807,1809,1813,1816],{"className":1808},[608],[573,1810],{"className":1811,"style":1812},[612],"height:0.7278em;vertical-align:-0.0833em;",[573,1814,827],{"className":1815},[617],[573,1817,1781],{"className":1818},[617],[573,1820,1822,1861],{"className":1821},[576],[573,1823,1825],{"className":1824},[580],[582,1826,1827],{"xmlns":584},[586,1828,1829,1858],{},[589,1830,1831,1833,1835,1837,1839,1841,1843,1845,1847,1849,1851],{},[592,1832,594],{},[732,1834,746],{},[592,1836,913],{},[732,1838,734],{},[732,1840,738],{"stretchy":737},[732,1842,827],{},[697,1844,1781],{},[732,1846,743],{"stretchy":737},[732,1848,1641],{},[732,1850,827],{},[815,1852,1853,1856],{},[697,1854,1855],{},"63,43",[732,1857,986],{},[596,1859,1860],{"encoding":598},"\\alpha = \\arctan(-2) \\approx -63{,}43^\\circ",[573,1862,1864,1882,1912],{"className":1863,"ariaHidden":604},[603],[573,1865,1867,1870,1873,1876,1879],{"className":1866},[608],[573,1868],{"className":1869,"style":613},[612],[573,1871,594],{"className":1872,"style":619},[617,618],[573,1874],{"className":1875,"style":781},[780],[573,1877,746],{"className":1878},[785],[573,1880],{"className":1881,"style":781},[780],[573,1883,1885,1888,1891,1894,1897,1900,1903,1906,1909],{"className":1884},[608],[573,1886],{"className":1887,"style":761},[612],[573,1889,913],{"className":1890},[765],[573,1892,738],{"className":1893},[769],[573,1895,827],{"className":1896},[617],[573,1898,1781],{"className":1899},[617],[573,1901,743],{"className":1902},[776],[573,1904],{"className":1905,"style":781},[780],[573,1907,1641],{"className":1908},[785],[573,1910],{"className":1911,"style":781},[780],[573,1913,1915,1918,1921,1925,1931,1934],{"className":1914},[608],[573,1916],{"className":1917,"style":1715},[612],[573,1919,827],{"className":1920},[617],[573,1922,1924],{"className":1923},[617],"63",[573,1926,1928],{"className":1927},[617],[573,1929,1609],{"className":1930},[1608],[573,1932,1516],{"className":1933},[617],[573,1935,1937,1941],{"className":1936},[617],[573,1938,1940],{"className":1939},[617],"3",[573,1942,1944],{"className":1943},[852],[573,1945,1947],{"className":1946},[856],[573,1948,1950],{"className":1949},[860],[573,1951,1953],{"className":1952,"style":999},[864],[573,1954,1955,1958],{"style":1020},[573,1956],{"className":1957,"style":872},[871],[573,1959,1961],{"className":1960},[876,877,878,879],[573,1962,986],{"className":1963},[1030,879],". Im Bereich ",[573,1966,1968,1985],{"className":1967},[576],[573,1969,1971],{"className":1970},[580],[582,1972,1973],{"xmlns":584},[586,1974,1975,1983],{},[589,1976,1977],{},[815,1978,1979,1981],{},[697,1980,983],{},[732,1982,986],{},[596,1984,989],{"encoding":598},[573,1986,1988],{"className":1987,"ariaHidden":604},[603],[573,1989,1991,1994],{"className":1990},[608],[573,1992],{"className":1993,"style":999},[612],[573,1995,1997,2000],{"className":1996},[617],[573,1998,983],{"className":1999},[617],[573,2001,2003],{"className":2002},[852],[573,2004,2006],{"className":2005},[856],[573,2007,2009],{"className":2008},[860],[573,2010,2012],{"className":2011,"style":999},[864],[573,2013,2014,2017],{"style":1020},[573,2015],{"className":2016,"style":872},[871],[573,2018,2020],{"className":2019},[876,877,878,879],[573,2021,986],{"className":2022},[1030,879]," bis ",[573,2025,2027,2044],{"className":2026},[576],[573,2028,2030],{"className":2029},[580],[582,2031,2032],{"xmlns":584},[586,2033,2034,2042],{},[589,2035,2036],{},[815,2037,2038,2040],{},[697,2039,1048],{},[732,2041,986],{},[596,2043,1053],{"encoding":598},[573,2045,2047],{"className":2046,"ariaHidden":604},[603],[573,2048,2050,2053,2056],{"className":2049},[608],[573,2051],{"className":2052,"style":999},[612],[573,2054,1066],{"className":2055},[617],[573,2057,2059,2062],{"className":2058},[617],[573,2060,983],{"className":2061},[617],[573,2063,2065],{"className":2064},[852],[573,2066,2068],{"className":2067},[856],[573,2069,2071],{"className":2070},[860],[573,2072,2074],{"className":2073,"style":999},[864],[573,2075,2076,2079],{"style":1020},[573,2077],{"className":2078,"style":872},[871],[573,2080,2082],{"className":2081},[876,877,878,879],[573,2083,986],{"className":2084},[1030,879]," (gegen den Uhrzeigersinn von der positiven x-Achse aus gemessen) sind das ",[573,2087,2089,2130],{"className":2088},[576],[573,2090,2092],{"className":2091},[580],[582,2093,2094],{"xmlns":584},[586,2095,2096,2127],{},[589,2097,2098,2104,2106,2108,2110,2116,2118,2120],{},[815,2099,2100,2102],{},[697,2101,1048],{},[732,2103,986],{},[732,2105,1117],{},[732,2107,738],{"stretchy":737},[732,2109,827],{},[815,2111,2112,2114],{},[697,2113,1855],{},[732,2115,986],{},[732,2117,743],{"stretchy":737},[732,2119,746],{},[815,2121,2122,2125],{},[697,2123,2124],{},"116,57",[732,2126,986],{},[596,2128,2129],{"encoding":598},"180^\\circ + (-63{,}43^\\circ) = 116{,}57^\\circ",[573,2131,2133,2180,2245],{"className":2132,"ariaHidden":604},[603],[573,2134,2136,2139,2142,2171,2174,2177],{"className":2135},[608],[573,2137],{"className":2138,"style":1132},[612],[573,2140,1066],{"className":2141},[617],[573,2143,2145,2148],{"className":2144},[617],[573,2146,983],{"className":2147},[617],[573,2149,2151],{"className":2150},[852],[573,2152,2154],{"className":2153},[856],[573,2155,2157],{"className":2156},[860],[573,2158,2160],{"className":2159,"style":999},[864],[573,2161,2162,2165],{"style":1020},[573,2163],{"className":2164,"style":872},[871],[573,2166,2168],{"className":2167},[876,877,878,879],[573,2169,986],{"className":2170},[1030,879],[573,2172],{"className":2173,"style":1168},[780],[573,2175,1117],{"className":2176},[1030],[573,2178],{"className":2179,"style":1168},[780],[573,2181,2183,2186,2189,2192,2195,2201,2204,2233,2236,2239,2242],{"className":2182},[608],[573,2184],{"className":2185,"style":761},[612],[573,2187,738],{"className":2188},[769],[573,2190,827],{"className":2191},[617],[573,2193,1924],{"className":2194},[617],[573,2196,2198],{"className":2197},[617],[573,2199,1609],{"className":2200},[1608],[573,2202,1516],{"className":2203},[617],[573,2205,2207,2210],{"className":2206},[617],[573,2208,1940],{"className":2209},[617],[573,2211,2213],{"className":2212},[852],[573,2214,2216],{"className":2215},[856],[573,2217,2219],{"className":2218},[860],[573,2220,2222],{"className":2221,"style":999},[864],[573,2223,2224,2227],{"style":1020},[573,2225],{"className":2226,"style":872},[871],[573,2228,2230],{"className":2229},[876,877,878,879],[573,2231,986],{"className":2232},[1030,879],[573,2234,743],{"className":2235},[776],[573,2237],{"className":2238,"style":781},[780],[573,2240,746],{"className":2241},[785],[573,2243],{"className":2244,"style":781},[780],[573,2246,2248,2251,2255,2261,2264],{"className":2247},[608],[573,2249],{"className":2250,"style":1715},[612],[573,2252,2254],{"className":2253},[617],"116",[573,2256,2258],{"className":2257},[617],[573,2259,1609],{"className":2260},[1608],[573,2262,1523],{"className":2263},[617],[573,2265,2267,2270],{"className":2266},[617],[573,2268,1735],{"className":2269},[617],[573,2271,2273],{"className":2272},[852],[573,2274,2276],{"className":2275},[856],[573,2277,2279],{"className":2278},[860],[573,2280,2282],{"className":2281,"style":999},[864],[573,2283,2284,2287],{"style":1020},[573,2285],{"className":2286,"style":872},[871],[573,2288,2290],{"className":2289},[876,877,878,879],[573,2291,986],{"className":2292},[1030,879],[565,2294,2295,2296,2342,2343,889],{},"Ein Verkehrsschild zeigt ",[573,2297,2299,2322],{"className":2298},[576],[573,2300,2302],{"className":2301},[580],[582,2303,2304],{"xmlns":584},[586,2305,2306,2319],{},[589,2307,2308,2311,2315],{},[697,2309,2310],{},"12",[2312,2313,2314],"mtext",{}," ",[592,2316,2318],{"mathvariant":2317},"normal","%",[596,2320,2321],{"encoding":598},"12\\,\\%",[573,2323,2325],{"className":2324,"ariaHidden":604},[603],[573,2326,2328,2332,2335,2339],{"className":2327},[608],[573,2329],{"className":2330,"style":2331},[612],"height:0.8056em;vertical-align:-0.0556em;",[573,2333,2310],{"className":2334},[617],[573,2336],{"className":2337,"style":2338},[780],"margin-right:0.1667em;",[573,2340,2318],{"className":2341},[617]," Steigung, also ",[573,2344,2346,2365],{"className":2345},[576],[573,2347,2349],{"className":2348},[580],[582,2350,2351],{"xmlns":584},[586,2352,2353,2362],{},[589,2354,2355,2357,2359],{},[592,2356,639],{},[732,2358,746],{},[697,2360,2361],{},"0,12",[596,2363,2364],{"encoding":598},"m = 0{,}12",[573,2366,2368,2386],{"className":2367,"ariaHidden":604},[603],[573,2369,2371,2374,2377,2380,2383],{"className":2370},[608],[573,2372],{"className":2373,"style":613},[612],[573,2375,639],{"className":2376},[617,618],[573,2378],{"className":2379,"style":781},[780],[573,2381,746],{"className":2382},[785],[573,2384],{"className":2385,"style":781},[780],[573,2387,2389,2392,2395,2401],{"className":2388},[608],[573,2390],{"className":2391,"style":1598},[612],[573,2393,983],{"className":2394},[617],[573,2396,2398],{"className":2397},[617],[573,2399,1609],{"className":2400},[1608],[573,2402,2310],{"className":2403},[617],[573,2405,2407],{"className":2406},[893],[573,2408,2410,2445],{"className":2409},[576],[573,2411,2413],{"className":2412},[580],[582,2414,2415],{"xmlns":584,"display":902},[586,2416,2417,2442],{},[589,2418,2419,2421,2423,2425,2427,2429,2431,2433,2435],{},[592,2420,594],{},[732,2422,746],{},[592,2424,913],{},[732,2426,734],{},[732,2428,738],{"stretchy":737},[697,2430,2361],{},[732,2432,743],{"stretchy":737},[732,2434,1641],{},[815,2436,2437,2440],{},[697,2438,2439],{},"6,84",[732,2441,986],{},[596,2443,2444],{"encoding":598},"\\alpha = \\arctan(0{,}12) \\approx 6{,}84^\\circ",[573,2446,2448,2466,2502],{"className":2447,"ariaHidden":604},[603],[573,2449,2451,2454,2457,2460,2463],{"className":2450},[608],[573,2452],{"className":2453,"style":613},[612],[573,2455,594],{"className":2456,"style":619},[617,618],[573,2458],{"className":2459,"style":781},[780],[573,2461,746],{"className":2462},[785],[573,2464],{"className":2465,"style":781},[780],[573,2467,2469,2472,2475,2478,2481,2487,2490,2493,2496,2499],{"className":2468},[608],[573,2470],{"className":2471,"style":761},[612],[573,2473,913],{"className":2474},[765],[573,2476,738],{"className":2477},[769],[573,2479,983],{"className":2480},[617],[573,2482,2484],{"className":2483},[617],[573,2485,1609],{"className":2486},[1608],[573,2488,2310],{"className":2489},[617],[573,2491,743],{"className":2492},[776],[573,2494],{"className":2495,"style":781},[780],[573,2497,1641],{"className":2498},[785],[573,2500],{"className":2501,"style":781},[780],[573,2503,2505,2509,2513,2519,2523],{"className":2504},[608],[573,2506],{"className":2507,"style":2508},[612],"height:0.9186em;vertical-align:-0.1944em;",[573,2510,2512],{"className":2511},[617],"6",[573,2514,2516],{"className":2515},[617],[573,2517,1609],{"className":2518},[1608],[573,2520,2522],{"className":2521},[617],"8",[573,2524,2526,2529],{"className":2525},[617],[573,2527,1516],{"className":2528},[617],[573,2530,2532],{"className":2531},[852],[573,2533,2535],{"className":2534},[856],[573,2536,2538],{"className":2537},[860],[573,2539,2542],{"className":2540,"style":2541},[864],"height:0.7241em;",[573,2543,2545,2548],{"style":2544},"top:-3.113em;margin-right:0.05em;",[573,2546],{"className":2547,"style":872},[871],[573,2549,2551],{"className":2550},[876,877,878,879],[573,2552,986],{"className":2553},[1030,879],[565,2555,2556,2557,2620,2621,798],{},"Umgekehrt hat eine Gerade mit dem Steigungswinkel ",[573,2558,2560,2579],{"className":2559},[576],[573,2561,2563],{"className":2562},[580],[582,2564,2565],{"xmlns":584},[586,2566,2567,2576],{},[589,2568,2569],{},[815,2570,2571,2574],{},[697,2572,2573],{},"30",[732,2575,986],{},[596,2577,2578],{"encoding":598},"30^\\circ",[573,2580,2582],{"className":2581,"ariaHidden":604},[603],[573,2583,2585,2588,2591],{"className":2584},[608],[573,2586],{"className":2587,"style":999},[612],[573,2589,1940],{"className":2590},[617],[573,2592,2594,2597],{"className":2593},[617],[573,2595,983],{"className":2596},[617],[573,2598,2600],{"className":2599},[852],[573,2601,2603],{"className":2602},[856],[573,2604,2606],{"className":2605},[860],[573,2607,2609],{"className":2608,"style":999},[864],[573,2610,2611,2614],{"style":1020},[573,2612],{"className":2613,"style":872},[871],[573,2615,2617],{"className":2616},[876,877,878,879],[573,2618,986],{"className":2619},[1030,879]," die Steigung ",[573,2622,2624,2659],{"className":2623},[576],[573,2625,2627],{"className":2626},[580],[582,2628,2629],{"xmlns":584},[586,2630,2631,2656],{},[589,2632,2633,2635,2637,2639,2641,2643,2649,2651,2653],{},[592,2634,639],{},[732,2636,746],{},[592,2638,730],{},[732,2640,734],{},[732,2642,738],{"stretchy":737},[815,2644,2645,2647],{},[697,2646,2573],{},[732,2648,986],{},[732,2650,743],{"stretchy":737},[732,2652,1641],{},[697,2654,2655],{},"0,5774",[596,2657,2658],{"encoding":598},"m = \\tan(30^\\circ) \\approx 0{,}5774",[573,2660,2662,2680,2736],{"className":2661,"ariaHidden":604},[603],[573,2663,2665,2668,2671,2674,2677],{"className":2664},[608],[573,2666],{"className":2667,"style":613},[612],[573,2669,639],{"className":2670},[617,618],[573,2672],{"className":2673,"style":781},[780],[573,2675,746],{"className":2676},[785],[573,2678],{"className":2679,"style":781},[780],[573,2681,2683,2686,2689,2692,2695,2724,2727,2730,2733],{"className":2682},[608],[573,2684],{"className":2685,"style":761},[612],[573,2687,730],{"className":2688},[765],[573,2690,738],{"className":2691},[769],[573,2693,1940],{"className":2694},[617],[573,2696,2698,2701],{"className":2697},[617],[573,2699,983],{"className":2700},[617],[573,2702,2704],{"className":2703},[852],[573,2705,2707],{"className":2706},[856],[573,2708,2710],{"className":2709},[860],[573,2711,2713],{"className":2712,"style":999},[864],[573,2714,2715,2718],{"style":1020},[573,2716],{"className":2717,"style":872},[871],[573,2719,2721],{"className":2720},[876,877,878,879],[573,2722,986],{"className":2723},[1030,879],[573,2725,743],{"className":2726},[776],[573,2728],{"className":2729,"style":781},[780],[573,2731,1641],{"className":2732},[785],[573,2734],{"className":2735,"style":781},[780],[573,2737,2739,2742,2745,2751],{"className":2738},[608],[573,2740],{"className":2741,"style":1598},[612],[573,2743,983],{"className":2744},[617],[573,2746,2748],{"className":2747},[617],[573,2749,1609],{"className":2750},[1608],[573,2752,2754],{"className":2753},[617],"5774",[560,2756,2758],{"id":2757},"typische-fehler","Typische Fehler",[2760,2761,2762,2958,3201,3312],"ul",{},[2763,2764,2765,2805,2806,2844,2845,2895,2896,798],"li",{},[573,2766,2768,2787],{"className":2767},[576],[573,2769,2771],{"className":2770},[580],[582,2772,2773],{"xmlns":584},[586,2774,2775,2784],{},[589,2776,2777,2780,2782],{},[697,2778,2779],{},"100",[2312,2781,2314],{},[592,2783,2318],{"mathvariant":2317},[596,2785,2786],{"encoding":598},"100\\,\\%",[573,2788,2790],{"className":2789,"ariaHidden":604},[603],[573,2791,2793,2796,2799,2802],{"className":2792},[608],[573,2794],{"className":2795,"style":2331},[612],[573,2797,2779],{"className":2798},[617],[573,2800],{"className":2801,"style":2338},[780],[573,2803,2318],{"className":2804},[617]," Steigung für eine senkrechte Wand halten: ",[573,2807,2809,2826],{"className":2808},[576],[573,2810,2812],{"className":2811},[580],[582,2813,2814],{"xmlns":584},[586,2815,2816,2824],{},[589,2817,2818,2820,2822],{},[697,2819,2779],{},[2312,2821,2314],{},[592,2823,2318],{"mathvariant":2317},[596,2825,2786],{"encoding":598},[573,2827,2829],{"className":2828,"ariaHidden":604},[603],[573,2830,2832,2835,2838,2841],{"className":2831},[608],[573,2833],{"className":2834,"style":2331},[612],[573,2836,2779],{"className":2837},[617],[573,2839],{"className":2840,"style":2338},[780],[573,2842,2318],{"className":2843},[617]," bedeutet ",[573,2846,2848,2865],{"className":2847},[576],[573,2849,2851],{"className":2850},[580],[582,2852,2853],{"xmlns":584},[586,2854,2855,2863],{},[589,2856,2857,2859,2861],{},[592,2858,639],{},[732,2860,746],{},[697,2862,699],{},[596,2864,1389],{"encoding":598},[573,2866,2868,2886],{"className":2867,"ariaHidden":604},[603],[573,2869,2871,2874,2877,2880,2883],{"className":2870},[608],[573,2872],{"className":2873,"style":613},[612],[573,2875,639],{"className":2876},[617,618],[573,2878],{"className":2879,"style":781},[780],[573,2881,746],{"className":2882},[785],[573,2884],{"className":2885,"style":781},[780],[573,2887,2889,2892],{"className":2888},[608],[573,2890],{"className":2891,"style":711},[612],[573,2893,699],{"className":2894},[617],", also ",[573,2897,2899,2917],{"className":2898},[576],[573,2900,2902],{"className":2901},[580],[582,2903,2904],{"xmlns":584},[586,2905,2906,2914],{},[589,2907,2908],{},[815,2909,2910,2912],{},[697,2911,1453],{},[732,2913,986],{},[596,2915,2916],{"encoding":598},"45^\\circ",[573,2918,2920],{"className":2919,"ariaHidden":604},[603],[573,2921,2923,2926,2929],{"className":2922},[608],[573,2924],{"className":2925,"style":999},[612],[573,2927,1516],{"className":2928},[617],[573,2930,2932,2935],{"className":2931},[617],[573,2933,1523],{"className":2934},[617],[573,2936,2938],{"className":2937},[852],[573,2939,2941],{"className":2940},[856],[573,2942,2944],{"className":2943},[860],[573,2945,2947],{"className":2946,"style":999},[864],[573,2948,2949,2952],{"style":1020},[573,2950],{"className":2951,"style":872},[871],[573,2953,2955],{"className":2954},[876,877,878,879],[573,2956,986],{"className":2957},[1030,879],[2763,2959,2960,2961,2989,2990,624,3028,3087,3088,3200],{},"Prozent nicht durch ",[573,2962,2964,2977],{"className":2963},[576],[573,2965,2967],{"className":2966},[580],[582,2968,2969],{"xmlns":584},[586,2970,2971,2975],{},[589,2972,2973],{},[697,2974,2779],{},[596,2976,2779],{"encoding":598},[573,2978,2980],{"className":2979,"ariaHidden":604},[603],[573,2981,2983,2986],{"className":2982},[608],[573,2984],{"className":2985,"style":711},[612],[573,2987,2779],{"className":2988},[617]," teilen: Bei ",[573,2991,2993,3010],{"className":2992},[576],[573,2994,2996],{"className":2995},[580],[582,2997,2998],{"xmlns":584},[586,2999,3000,3008],{},[589,3001,3002,3004,3006],{},[697,3003,2310],{},[2312,3005,2314],{},[592,3007,2318],{"mathvariant":2317},[596,3009,2321],{"encoding":598},[573,3011,3013],{"className":3012,"ariaHidden":604},[603],[573,3014,3016,3019,3022,3025],{"className":3015},[608],[573,3017],{"className":3018,"style":2331},[612],[573,3020,2310],{"className":3021},[617],[573,3023],{"className":3024,"style":2338},[780],[573,3026,2318],{"className":3027},[617],[573,3029,3031,3048],{"className":3030},[576],[573,3032,3034],{"className":3033},[580],[582,3035,3036],{"xmlns":584},[586,3037,3038,3046],{},[589,3039,3040,3042,3044],{},[592,3041,639],{},[732,3043,746],{},[697,3045,2361],{},[596,3047,2364],{"encoding":598},[573,3049,3051,3069],{"className":3050,"ariaHidden":604},[603],[573,3052,3054,3057,3060,3063,3066],{"className":3053},[608],[573,3055],{"className":3056,"style":613},[612],[573,3058,639],{"className":3059},[617,618],[573,3061],{"className":3062,"style":781},[780],[573,3064,746],{"className":3065},[785],[573,3067],{"className":3068,"style":781},[780],[573,3070,3072,3075,3078,3084],{"className":3071},[608],[573,3073],{"className":3074,"style":1598},[612],[573,3076,983],{"className":3077},[617],[573,3079,3081],{"className":3080},[617],[573,3082,1609],{"className":3083},[1608],[573,3085,2310],{"className":3086},[617],". Mit ",[573,3089,3091,3122],{"className":3090},[576],[573,3092,3094],{"className":3093},[580],[582,3095,3096],{"xmlns":584},[586,3097,3098,3119],{},[589,3099,3100,3102,3104,3106,3108,3110,3112],{},[592,3101,913],{},[732,3103,734],{},[732,3105,738],{"stretchy":737},[697,3107,2310],{},[732,3109,743],{"stretchy":737},[732,3111,1641],{},[815,3113,3114,3117],{},[697,3115,3116],{},"85,24",[732,3118,986],{},[596,3120,3121],{"encoding":598},"\\arctan(12) \\approx 85{,}24^\\circ",[573,3123,3125,3152],{"className":3124,"ariaHidden":604},[603],[573,3126,3128,3131,3134,3137,3140,3143,3146,3149],{"className":3127},[608],[573,3129],{"className":3130,"style":761},[612],[573,3132,913],{"className":3133},[765],[573,3135,738],{"className":3136},[769],[573,3138,2310],{"className":3139},[617],[573,3141,743],{"className":3142},[776],[573,3144],{"className":3145,"style":781},[780],[573,3147,1641],{"className":3148},[785],[573,3150],{"className":3151,"style":781},[780],[573,3153,3155,3158,3162,3168,3171],{"className":3154},[608],[573,3156],{"className":3157,"style":1715},[612],[573,3159,3161],{"className":3160},[617],"85",[573,3163,3165],{"className":3164},[617],[573,3166,1609],{"className":3167},[1608],[573,3169,1781],{"className":3170},[617],[573,3172,3174,3177],{"className":3173},[617],[573,3175,1516],{"className":3176},[617],[573,3178,3180],{"className":3179},[852],[573,3181,3183],{"className":3182},[856],[573,3184,3186],{"className":3185},[860],[573,3187,3189],{"className":3188,"style":999},[864],[573,3190,3191,3194],{"style":1020},[573,3192],{"className":3193,"style":872},[871],[573,3195,3197],{"className":3196},[876,877,878,879],[573,3198,986],{"className":3199},[1030,879]," wäre die Straße fast senkrecht.",[2763,3202,3203,3204,3283,3284,798],{},"Den Taschenrechner im Bogenmaß (RAD) lassen: Dann kommt ",[573,3205,3207,3234],{"className":3206},[576],[573,3208,3210],{"className":3209},[580],[582,3211,3212],{"xmlns":584},[586,3213,3214,3231],{},[589,3215,3216,3218,3220,3222,3224,3226,3228],{},[592,3217,913],{},[732,3219,734],{},[732,3221,738],{"stretchy":737},[697,3223,699],{},[732,3225,743],{"stretchy":737},[732,3227,1641],{},[697,3229,3230],{},"0,785",[596,3232,3233],{"encoding":598},"\\arctan(1) \\approx 0{,}785",[573,3235,3237,3264],{"className":3236,"ariaHidden":604},[603],[573,3238,3240,3243,3246,3249,3252,3255,3258,3261],{"className":3239},[608],[573,3241],{"className":3242,"style":761},[612],[573,3244,913],{"className":3245},[765],[573,3247,738],{"className":3248},[769],[573,3250,699],{"className":3251},[617],[573,3253,743],{"className":3254},[776],[573,3256],{"className":3257,"style":781},[780],[573,3259,1641],{"className":3260},[785],[573,3262],{"className":3263,"style":781},[780],[573,3265,3267,3270,3273,3279],{"className":3266},[608],[573,3268],{"className":3269,"style":1598},[612],[573,3271,983],{"className":3272},[617],[573,3274,3276],{"className":3275},[617],[573,3277,1609],{"className":3278},[1608],[573,3280,3282],{"className":3281},[617],"785"," heraus statt ",[573,3285,3287,3300],{"className":3286},[576],[573,3288,3290],{"className":3289},[580],[582,3291,3292],{"xmlns":584},[586,3293,3294,3298],{},[589,3295,3296],{},[697,3297,1453],{},[596,3299,1453],{"encoding":598},[573,3301,3303],{"className":3302,"ariaHidden":604},[603],[573,3304,3306,3309],{"className":3305},[608],[573,3307],{"className":3308,"style":711},[612],[573,3310,1453],{"className":3311},[617],[2763,3313,3314,3315,3343,3344,3403,3404,798],{},"Steigung und Winkel gleichsetzen: Zur Steigung ",[573,3316,3318,3331],{"className":3317},[576],[573,3319,3321],{"className":3320},[580],[582,3322,3323],{"xmlns":584},[586,3324,3325,3329],{},[589,3326,3327],{},[697,3328,1781],{},[596,3330,1781],{"encoding":598},[573,3332,3334],{"className":3333,"ariaHidden":604},[603],[573,3335,3337,3340],{"className":3336},[608],[573,3338],{"className":3339,"style":711},[612],[573,3341,1781],{"className":3342},[617]," gehören nicht ",[573,3345,3347,3365],{"className":3346},[576],[573,3348,3350],{"className":3349},[580],[582,3351,3352],{"xmlns":584},[586,3353,3354,3362],{},[589,3355,3356],{},[815,3357,3358,3360],{},[697,3359,1781],{},[732,3361,986],{},[596,3363,3364],{"encoding":598},"2^\\circ",[573,3366,3368],{"className":3367,"ariaHidden":604},[603],[573,3369,3371,3374],{"className":3370},[608],[573,3372],{"className":3373,"style":999},[612],[573,3375,3377,3380],{"className":3376},[617],[573,3378,1781],{"className":3379},[617],[573,3381,3383],{"className":3382},[852],[573,3384,3386],{"className":3385},[856],[573,3387,3389],{"className":3388},[860],[573,3390,3392],{"className":3391,"style":999},[864],[573,3393,3394,3397],{"style":1020},[573,3395],{"className":3396,"style":872},[871],[573,3398,3400],{"className":3399},[876,877,878,879],[573,3401,986],{"className":3402},[1030,879],", sondern etwa ",[573,3405,3407,3425],{"className":3406},[576],[573,3408,3410],{"className":3409},[580],[582,3411,3412],{"xmlns":584},[586,3413,3414,3422],{},[589,3415,3416],{},[815,3417,3418,3420],{},[697,3419,1855],{},[732,3421,986],{},[596,3423,3424],{"encoding":598},"63{,}43^\\circ",[573,3426,3428],{"className":3427,"ariaHidden":604},[603],[573,3429,3431,3434,3437,3443,3446],{"className":3430},[608],[573,3432],{"className":3433,"style":1715},[612],[573,3435,1924],{"className":3436},[617],[573,3438,3440],{"className":3439},[617],[573,3441,1609],{"className":3442},[1608],[573,3444,1516],{"className":3445},[617],[573,3447,3449,3452],{"className":3448},[617],[573,3450,1940],{"className":3451},[617],[573,3453,3455],{"className":3454},[852],[573,3456,3458],{"className":3457},[856],[573,3459,3461],{"className":3460},[860],[573,3462,3464],{"className":3463,"style":999},[864],[573,3465,3466,3469],{"style":1020},[573,3467],{"className":3468,"style":872},[871],[573,3470,3472],{"className":3471},[876,877,878,879],[573,3473,986],{"className":3474},[1030,879],{"title":3476,"searchDepth":3477,"depth":3477,"links":3478},"",2,[3479,3480,3481],{"id":562,"depth":3477,"text":563},{"id":1365,"depth":3477,"text":1366},{"id":2757,"depth":3477,"text":2758},[3483,3485,3487,3490,3493,3496,3499,3502,3504,3507,3510],{"lhs":3484,"rhs":639},"tan(atan(m))",{"lhs":3486,"rhs":1453},"atan(1)*180\u002Fpi",{"lhs":3488,"rhs":3489},"round(atan(0.5)*180\u002Fpi, 2)","26.57",{"lhs":3491,"rhs":3492},"round(atan(-2)*180\u002Fpi, 2)","-63.43",{"lhs":3494,"rhs":3495},"round(180 + atan(-2)*180\u002Fpi, 2)","116.57",{"lhs":3497,"rhs":3498},"round(atan(0.12)*180\u002Fpi, 2)","6.84",{"lhs":3500,"rhs":3501},"round(tan(30*pi\u002F180), 4)","0.5774",{"lhs":3503,"rhs":1453},"atan(100\u002F100)*180\u002Fpi",{"lhs":3505,"rhs":3506},"round(atan(12)*180\u002Fpi, 2)","85.24",{"lhs":3508,"rhs":3509},"round(atan(1), 3)","0.785",{"lhs":3511,"rhs":3512},"round(atan(2)*180\u002Fpi, 2)","63.43","-90^\\circ \u003C \\alpha \u003C 90^\\circ","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath 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