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s",[579,1145,1147,1165,1254,1337,1418,1437,1540,1558],{"className":1146,"ariaHidden":609},[608],[579,1148,1150,1153,1156,1159,1162],{"className":1149},[613],[579,1151],{"className":1152,"style":618},[617],[579,1154,600],{"className":1155},[622,623],[579,1157],{"className":1158,"style":814},[813],[579,1160,772],{"className":1161},[818],[579,1163],{"className":1164,"style":814},[813],[579,1166,1168,1172,1238,1241,1244,1248,1251],{"className":1167},[613],[579,1169],{"className":1170,"style":1171},[617],"height:2.0074em;vertical-align:-0.686em;",[579,1173,1175,1178,1235],{"className":1174},[622],[579,1176],{"className":1177},[835,836],[579,1179,1181],{"className":1180},[774],[579,1182,1184,1226],{"className":1183},[843,844],[579,1185,1187,1223],{"className":1186},[848],[579,1188,1191,1203,1211],{"className":1189,"style":1190},[852],"height:1.3214em;",[579,1192,1194,1197],{"style":1193},"top:-2.314em;",[579,1195],{"className":1196,"style":861},[860],[579,1198,1200],{"className":1199},[622],[579,1201,793],{"className":1202},[622],[579,1204,1205,1208],{"style":877},[579,1206],{"className":1207,"style":861},[860],[579,1209],{"className":1210,"style":885},[884],[579,1212,1214,1217],{"style":1213},"top:-3.677em;",[579,1215],{"className":1216,"style":861},[860],[579,1218,1220],{"className":1219},[622],[579,1221,1079],{"className":1222},[622],[579,1224,918],{"className":1225},[917],[579,1227,1229],{"className":1228},[848],[579,1230,1233],{"className":1231,"style":1232},[852],"height:0.686em;",[579,1234],{},[579,1236],{"className":1237},[931,836],[579,1239,677],{"className":1240},[622,623],[579,1242,768],{"className":1243,"style":809},[622,623],[579,1245],{"className":1246,"style":1247},[813],"margin-right:0.2222em;",[579,1249,782],{"className":1250},[904],[579,1252],{"className":1253,"style":1247},[813],[579,1255,1257,1260,1322,1325,1328,1331,1334],{"className":1256},[613],[579,1258],{"className":1259,"style":1171},[617],[579,1261,1263,1266,1319],{"className":1262},[622],[579,1264],{"className":1265},[835,836],[579,1267,1269],{"className":1268},[774],[579,1270,1272,1311],{"className":1271},[843,844],[579,1273,1275,1308],{"className":1274},[848],[579,1276,1278,1289,1297],{"className":1277,"style":1190},[852],[579,1279,1280,1283],{"style":1193},[579,1281],{"className":1282,"style":861},[860],[579,1284,1286],{"className":1285},[622],[579,1287,793],{"className":1288},[622],[579,1290,1291,1294],{"style":877},[579,1292],{"className":1293,"style":861},[860],[579,1295],{"className":1296,"style":885},[884],[579,1298,1299,1302],{"style":1213},[579,1300],{"className":1301,"style":861},[860],[579,1303,1305],{"className":1304},[622],[579,1306,1079],{"className":1307},[622],[579,1309,918],{"className":1310},[917],[579,1312,1314],{"className":1313},[848],[579,1315,1317],{"className":1316,"style":1232},[852],[579,1318],{},[579,1320],{"className":1321},[931,836],[579,1323,707],{"className":1324},[622,623],[579,1326,768],{"className":1327,"style":809},[622,623],[579,1329],{"className":1330,"style":1247},[813],[579,1332,782],{"className":1333},[904],[579,1335],{"className":1336,"style":1247},[813],[579,1338,1340,1343,1405,1409,1412,1415],{"className":1339},[613],[579,1341],{"className":1342,"style":1171},[617],[579,1344,1346,1349,1402],{"className":1345},[622],[579,1347],{"className":1348},[835,836],[579,1350,1352],{"className":1351},[774],[579,1353,1355,1394],{"className":1354},[843,844],[579,1356,1358,1391],{"className":1357},[848],[579,1359,1361,1372,1380],{"className":1360,"style":1190},[852],[579,1362,1363,1366],{"style":1193},[579,1364],{"className":1365,"style":861},[860],[579,1367,1369],{"className":1368},[622],[579,1370,793],{"className":1371},[622],[579,1373,1374,1377],{"style":877},[579,1375],{"className":1376,"style":861},[860],[579,1378],{"className":1379,"style":885},[884],[579,1381,1382,1385],{"style":1213},[579,1383],{"className":1384,"style":861},[860],[579,1386,1388],{"className":1387},[622],[579,1389,1079],{"className":1390},[622],[579,1392,918],{"className":1393},[917],[579,1395,1397],{"className":1396},[848],[579,1398,1400],{"className":1399,"style":1232},[852],[579,1401],{},[579,1403],{"className":1404},[931,836],[579,1406,1408],{"className":1407,"style":809},[622,623],"cr",[579,1410],{"className":1411,"style":814},[813],[579,1413,772],{"className":1414},[818],[579,1416],{"className":1417,"style":814},[813],[579,1419,1421,1425,1428,1431,1434],{"className":1420},[613],[579,1422],{"className":1423,"style":1424},[617],"height:0.4445em;",[579,1426,768],{"className":1427,"style":809},[622,623],[579,1429],{"className":1430,"style":1247},[813],[579,1432,1116],{"className":1433},[904],[579,1435],{"className":1436,"style":1247},[813],[579,1438,1440,1444,1531,1534,1537],{"className":1439},[613],[579,1441],{"className":1442,"style":1443},[617],"height:2.0574em;vertical-align:-0.686em;",[579,1445,1447,1450,1528],{"className":1446},[622],[579,1448],{"className":1449},[835,836],[579,1451,1453],{"className":1452},[774],[579,1454,1456,1520],{"className":1455},[843,844],[579,1457,1459,1517],{"className":1458},[848],[579,1460,1463,1474,1482],{"className":1461,"style":1462},[852],"height:1.3714em;",[579,1464,1465,1468],{"style":1193},[579,1466],{"className":1467,"style":861},[860],[579,1469,1471],{"className":1470},[622],[579,1472,793],{"className":1473},[622],[579,1475,1476,1479],{"style":877},[579,1477],{"className":1478,"style":861},[860],[579,1480],{"className":1481,"style":885},[884],[579,1483,1484,1487],{"style":1213},[579,1485],{"className":1486,"style":861},[860],[579,1488,1490,1493,1496,1499,1502,1505,1508,1511,1514],{"className":1489},[622],[579,1491,677],{"className":1492},[622,623],[579,1494],{"className":1495,"style":1247},[813],[579,1497,782],{"className":1498},[904],[579,1500],{"className":1501,"style":1247},[813],[579,1503,707],{"className":1504},[622,623],[579,1506],{"className":1507,"style":1247},[813],[579,1509,782],{"className":1510},[904],[579,1512],{"className":1513,"style":1247},[813],[579,1515,738],{"className":1516},[622,623],[579,1518,918],{"className":1519},[917],[579,1521,1523],{"className":1522},[848],[579,1524,1526],{"className":1525,"style":1232},[852],[579,1527],{},[579,1529],{"className":1530},[931,836],[579,1532],{"className":1533,"style":814},[813],[579,1535,772],{"className":1536},[818],[579,1538],{"className":1539,"style":814},[813],[579,1541,1543,1546,1549,1552,1555],{"className":1542},[613],[579,1544],{"className":1545,"style":1424},[617],[579,1547,768],{"className":1548,"style":809},[622,623],[579,1550],{"className":1551,"style":1247},[813],[579,1553,1116],{"className":1554},[904],[579,1556],{"className":1557,"style":1247},[813],[579,1559,1561,1564],{"className":1560},[613],[579,1562],{"className":1563,"style":651},[617],[579,1565,639],{"className":1566},[622,623],[558,1568,1570],{"id":1569},"beispiele","Beispiele",[563,1572,1573,1574,692,1627,692,1679,1731,1732,692,1784,1972],{},"Rechtwinkliges Dreieck mit ",[579,1575,1577,1596],{"className":1576},[582],[579,1578,1580],{"className":1579},[586],[588,1581,1582],{"xmlns":590},[592,1583,1584,1593],{},[595,1585,1586,1588,1590],{},[598,1587,677],{},[770,1589,772],{},[791,1591,1592],{},"3",[602,1594,1595],{"encoding":604},"a = 3",[579,1597,1599,1617],{"className":1598,"ariaHidden":609},[608],[579,1600,1602,1605,1608,1611,1614],{"className":1601},[613],[579,1603],{"className":1604,"style":651},[617],[579,1606,677],{"className":1607},[622,623],[579,1609],{"className":1610,"style":814},[813],[579,1612,772],{"className":1613},[818],[579,1615],{"className":1616,"style":814},[813],[579,1618,1620,1624],{"className":1619},[613],[579,1621],{"className":1622,"style":1623},[617],"height:0.6444em;",[579,1625,1592],{"className":1626},[622],[579,1628,1630,1649],{"className":1629},[582],[579,1631,1633],{"className":1632},[586],[588,1634,1635],{"xmlns":590},[592,1636,1637,1646],{},[595,1638,1639,1641,1643],{},[598,1640,707],{},[770,1642,772],{},[791,1644,1645],{},"4",[602,1647,1648],{"encoding":604},"b = 4",[579,1650,1652,1670],{"className":1651,"ariaHidden":609},[608],[579,1653,1655,1658,1661,1664,1667],{"className":1654},[613],[579,1656],{"className":1657,"style":719},[617],[579,1659,707],{"className":1660},[622,623],[579,1662],{"className":1663,"style":814},[813],[579,1665,772],{"className":1666},[818],[579,1668],{"className":1669,"style":814},[813],[579,1671,1673,1676],{"className":1672},[613],[579,1674],{"className":1675,"style":1623},[617],[579,1677,1645],{"className":1678},[622],[579,1680,1682,1701],{"className":1681},[582],[579,1683,1685],{"className":1684},[586],[588,1686,1687],{"xmlns":590},[592,1688,1689,1698],{},[595,1690,1691,1693,1695],{},[598,1692,738],{},[770,1694,772],{},[791,1696,1697],{},"5",[602,1699,1700],{"encoding":604},"c = 5",[579,1702,1704,1722],{"className":1703,"ariaHidden":609},[608],[579,1705,1707,1710,1713,1716,1719],{"className":1706},[613],[579,1708],{"className":1709,"style":651},[617],[579,1711,738],{"className":1712},[622,623],[579,1714],{"className":1715,"style":814},[813],[579,1717,772],{"className":1718},[818],[579,1720],{"className":1721,"style":814},[813],[579,1723,1725,1728],{"className":1724},[613],[579,1726],{"className":1727,"style":1623},[617],[579,1729,1697],{"className":1730},[622]," (in cm): ",[579,1733,1735,1754],{"className":1734},[582],[579,1736,1738],{"className":1737},[586],[588,1739,1740],{"xmlns":590},[592,1741,1742,1751],{},[595,1743,1744,1746,1748],{},[598,1745,639],{},[770,1747,772],{},[791,1749,1750],{},"6",[602,1752,1753],{"encoding":604},"s = 6",[579,1755,1757,1775],{"className":1756,"ariaHidden":609},[608],[579,1758,1760,1763,1766,1769,1772],{"className":1759},[613],[579,1761],{"className":1762,"style":651},[617],[579,1764,639],{"className":1765},[622,623],[579,1767],{"className":1768,"style":814},[813],[579,1770,772],{"className":1771},[818],[579,1773],{"className":1774,"style":814},[813],[579,1776,1778,1781],{"className":1777},[613],[579,1779],{"className":1780,"style":1623},[617],[579,1782,1750],{"className":1783},[622],[579,1785,1787,1821],{"className":1786},[582],[579,1788,1790],{"className":1789},[586],[588,1791,1792],{"xmlns":590},[592,1793,1794,1818],{},[595,1795,1796,1798,1800,1806,1808,1810,1812,1814,1816],{},[598,1797,600],{},[770,1799,772],{},[774,1801,1802,1804],{},[791,1803,1079],{},[791,1805,793],{},[770,1807,1116],{},[791,1809,1592],{},[770,1811,1116],{},[791,1813,1645],{},[770,1815,772],{},[791,1817,1750],{},[602,1819,1820],{"encoding":604},"A = \\frac{1}{2} \\cdot 3 \\cdot 4 = 6",[579,1822,1824,1842,1927,1945,1963],{"className":1823,"ariaHidden":609},[608],[579,1825,1827,1830,1833,1836,1839],{"className":1826},[613],[579,1828],{"className":1829,"style":618},[617],[579,1831,600],{"className":1832},[622,623],[579,1834],{"className":1835,"style":814},[813],[579,1837,772],{"className":1838},[818],[579,1840],{"className":1841,"style":814},[813],[579,1843,1845,1849,1918,1921,1924],{"className":1844},[613],[579,1846],{"className":1847,"style":1848},[617],"height:1.1901em;vertical-align:-0.345em;",[579,1850,1852,1855,1915],{"className":1851},[622],[579,1853],{"className":1854},[835,836],[579,1856,1858],{"className":1857},[774],[579,1859,1861,1907],{"className":1860},[843,844],[579,1862,1864,1904],{"className":1863},[848],[579,1865,1868,1882,1890],{"className":1866,"style":1867},[852],"height:0.8451em;",[579,1869,1870,1873],{"style":856},[579,1871],{"className":1872,"style":861},[860],[579,1874,1876],{"className":1875},[865,866,867,868],[579,1877,1879],{"className":1878},[622,868],[579,1880,793],{"className":1881},[622,868],[579,1883,1884,1887],{"style":877},[579,1885],{"className":1886,"style":861},[860],[579,1888],{"className":1889,"style":885},[884],[579,1891,1892,1895],{"style":888},[579,1893],{"className":1894,"style":861},[860],[579,1896,1898],{"className":1897},[865,866,867,868],[579,1899,1901],{"className":1900},[622,868],[579,1902,1079],{"className":1903},[622,868],[579,1905,918],{"className":1906},[917],[579,1908,1910],{"className":1909},[848],[579,1911,1913],{"className":1912,"style":925},[852],[579,1914],{},[579,1916],{"className":1917},[931,836],[579,1919],{"className":1920,"style":1247},[813],[579,1922,1116],{"className":1923},[904],[579,1925],{"className":1926,"style":1247},[813],[579,1928,1930,1933,1936,1939,1942],{"className":1929},[613],[579,1931],{"className":1932,"style":1623},[617],[579,1934,1592],{"className":1935},[622],[579,1937],{"className":1938,"style":1247},[813],[579,1940,1116],{"className":1941},[904],[579,1943],{"className":1944,"style":1247},[813],[579,1946,1948,1951,1954,1957,1960],{"className":1947},[613],[579,1949],{"className":1950,"style":1623},[617],[579,1952,1645],{"className":1953},[622],[579,1955],{"className":1956,"style":814},[813],[579,1958,772],{"className":1959},[818],[579,1961],{"className":1962,"style":814},[813],[579,1964,1966,1969],{"className":1965},[613],[579,1967],{"className":1968,"style":1623},[617],[579,1970,1750],{"className":1971},[622],", also",[579,1974,1976],{"className":1975},[1057],[579,1977,1979,2012],{"className":1978},[582],[579,1980,1982],{"className":1981},[586],[588,1983,1984],{"xmlns":590,"display":1066},[592,1985,1986,2009],{},[595,1987,1988,1990,1992,1998,2000,2002,2006],{},[598,1989,768],{},[770,1991,772],{},[774,1993,1994,1996],{},[791,1995,1750],{},[791,1997,1750],{},[770,1999,772],{},[791,2001,1079],{},[2003,2004,2005],"mtext",{}," ",[2003,2007,2008],{},"cm",[602,2010,2011],{"encoding":604},"r = \\frac{6}{6} = 1\\,\\text{cm}",[579,2013,2015,2033,2110],{"className":2014,"ariaHidden":609},[608],[579,2016,2018,2021,2024,2027,2030],{"className":2017},[613],[579,2019],{"className":2020,"style":651},[617],[579,2022,768],{"className":2023,"style":809},[622,623],[579,2025],{"className":2026,"style":814},[813],[579,2028,772],{"className":2029},[818],[579,2031],{"className":2032,"style":814},[813],[579,2034,2036,2039,2101,2104,2107],{"className":2035},[613],[579,2037],{"className":2038,"style":1171},[617],[579,2040,2042,2045,2098],{"className":2041},[622],[579,2043],{"className":2044},[835,836],[579,2046,2048],{"className":2047},[774],[579,2049,2051,2090],{"className":2050},[843,844],[579,2052,2054,2087],{"className":2053},[848],[579,2055,2057,2068,2076],{"className":2056,"style":1190},[852],[579,2058,2059,2062],{"style":1193},[579,2060],{"className":2061,"style":861},[860],[579,2063,2065],{"className":2064},[622],[579,2066,1750],{"className":2067},[622],[579,2069,2070,2073],{"style":877},[579,2071],{"className":2072,"style":861},[860],[579,2074],{"className":2075,"style":885},[884],[579,2077,2078,2081],{"style":1213},[579,2079],{"className":2080,"style":861},[860],[579,2082,2084],{"className":2083},[622],[579,2085,1750],{"className":2086},[622],[579,2088,918],{"className":2089},[917],[579,2091,2093],{"className":2092},[848],[579,2094,2096],{"className":2095,"style":1232},[852],[579,2097],{},[579,2099],{"className":2100},[931,836],[579,2102],{"className":2103,"style":814},[813],[579,2105,772],{"className":2106},[818],[579,2108],{"className":2109,"style":814},[813],[579,2111,2113,2116,2119,2123],{"className":2112},[613],[579,2114],{"className":2115,"style":1623},[617],[579,2117,1079],{"className":2118},[622],[579,2120],{"className":2121,"style":2122},[813],"margin-right:0.1667em;",[579,2124,2127],{"className":2125},[622,2126],"text",[579,2128,2008],{"className":2129},[622],[563,2131,2132,2133,932],{},"Die Kurzform bestätigt das: ",[579,2134,2136,2168],{"className":2135},[582],[579,2137,2139],{"className":2138},[586],[588,2140,2141],{"xmlns":590},[592,2142,2143,2165],{},[595,2144,2145,2161,2163],{},[774,2146,2147,2159],{},[595,2148,2149,2151,2153,2155,2157],{},[791,2150,1592],{},[770,2152,782],{},[791,2154,1645],{},[770,2156,787],{},[791,2158,1697],{},[791,2160,793],{},[770,2162,772],{},[791,2164,1079],{},[602,2166,2167],{"encoding":604},"\\frac{3 + 4 - 5}{2} = 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