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",[573,1172,1174,1193],{"className":1173},[576],[573,1175,1177],{"className":1176},[580],[582,1178,1179],{"xmlns":584},[586,1180,1181,1190],{},[589,1182,1183,1186,1188],{},[592,1184,1185],{},"4",[603,1187,605],{},[603,1189,679],{},[610,1191,1192],{"encoding":612},"4\\,\\text{cm}",[573,1194,1196],{"className":1195,"ariaHidden":618},[617],[573,1197,1199,1202,1205,1208],{"className":1198},[622],[573,1200],{"className":1201,"style":627},[626],[573,1203,1185],{"className":1204},[631],[573,1206],{"className":1207,"style":656},[635],[573,1209,1211],{"className":1210},[631,701],[573,1212,679],{"className":1213},[631]," lang:",[573,1216,1219],{"className":1217},[1218],"katex-display",[573,1220,1222,1286],{"className":1221},[576],[573,1223,1225],{"className":1224},[580],[582,1226,1228],{"xmlns":584,"display":1227},"block",[586,1229,1230,1283],{},[589,1231,1232,1234,1236,1238,1240,1242,1245,1247,1249,1251,1253,1256,1258,1260,1262,1264,1266,1269,1271,1274,1276,1278,1280],{},[779,1233,855],{},[596,1235,849],{},[592,1237,1185],{},[603,1239,605],{},[603,1241,679],{},[596,1243,1244],{},"⋅",[592,1246,601],{},[603,1248,605],{},[592,1250,608],{},[596,1252,849],{},[592,1254,1255],{},"100",[603,1257,605],{},[592,1259,608],{},[603,1261,605],{},[603,1263,679],{},[596,1265,849],{},[592,1267,1268],{},"1000",[603,1270,605],{},[603,1272,1273],{},"m",[596,1275,849],{},[592,1277,594],{},[603,1279,605],{},[603,1281,1282],{},"km",[610,1284,1285],{"encoding":612},"w = 4\\,\\text{cm} \\cdot 25\\,000 = 100\\,000\\,\\text{cm} = 1000\\,\\text{m} = 1\\,\\text{km}",[573,1287,1289,1308,1337,1361,1394,1421],{"className":1288,"ariaHidden":618},[617],[573,1290,1292,1296,1299,1302,1305],{"className":1291},[622],[573,1293],{"className":1294,"style":1295},[626],"height:0.4306em;",[573,1297,855],{"className":1298,"style":963},[631,797],[573,1300],{"className":1301,"style":636},[635],[573,1303,849],{"className":1304},[640],[573,1306],{"className":1307,"style":636},[635],[573,1309,1311,1314,1317,1320,1326,1330,1334],{"className":1310},[622],[573,1312],{"className":1313,"style":627},[626],[573,1315,1185],{"className":1316},[631],[573,1318],{"className":1319,"style":656},[635],[573,1321,1323],{"className":1322},[631,701],[573,1324,679],{"className":1325},[631],[573,1327],{"className":1328,"style":1329},[635],"margin-right:0.2222em;",[573,1331,1244],{"className":1332},[1333],"mbin",[573,1335],{"className":1336,"style":1329},[635],[573,1338,1340,1343,1346,1349,1352,1355,1358],{"className":1339},[622],[573,1341],{"className":1342,"style":627},[626],[573,1344,601],{"className":1345},[631],[573,1347],{"className":1348,"style":656},[635],[573,1350,608],{"className":1351},[631],[573,1353],{"className":1354,"style":636},[635],[573,1356,849],{"className":1357},[640],[573,1359],{"className":1360,"style":636},[635],[573,1362,1364,1367,1370,1373,1376,1379,1385,1388,1391],{"className":1363},[622],[573,1365],{"className":1366,"style":627},[626],[573,1368,1255],{"className":1369},[631],[573,1371],{"className":1372,"style":656},[635],[573,1374,608],{"className":1375},[631],[573,1377],{"className":1378,"style":656},[635],[573,1380,1382],{"className":1381},[631,701],[573,1383,679],{"className":1384},[631],[573,1386],{"className":1387,"style":636},[635],[573,1389,849],{"className":1390},[640],[573,1392],{"className":1393,"style":636},[635],[573,1395,1397,1400,1403,1406,1412,1415,1418],{"className":1396},[622],[573,1398],{"className":1399,"style":627},[626],[573,1401,1268],{"className":1402},[631],[573,1404],{"className":1405,"style":656},[635],[573,1407,1409],{"className":1408},[631,701],[573,1410,1273],{"className":1411},[631],[573,1413],{"className":1414,"style":636},[635],[573,1416,849],{"className":1417},[640],[573,1419],{"className":1420,"style":636},[635],[573,1422,1424,1427,1430,1433],{"className":1423},[622],[573,1425],{"className":1426,"style":870},[626],[573,1428,594],{"className":1429},[631],[573,1431],{"className":1432,"style":656},[635],[573,1434,1436],{"className":1435},[631,701],[573,1437,1282],{"className":1438},[631],[565,1440,1441,1442,1499,1500,1562,1563,982],{},"Zwei Orte liegen ",[573,1443,1445,1464],{"className":1444},[576],[573,1446,1448],{"className":1447},[580],[582,1449,1450],{"xmlns":584},[586,1451,1452,1461],{},[589,1453,1454,1457,1459],{},[592,1455,1456],{},"3,5",[603,1458,605],{},[603,1460,1282],{},[610,1462,1463],{"encoding":612},"3{,}5\\,\\text{km}",[573,1465,1467],{"className":1466,"ariaHidden":618},[617],[573,1468,1470,1474,1478,1486,1490,1493],{"className":1469},[622],[573,1471],{"className":1472,"style":1473},[626],"height:0.8889em;vertical-align:-0.1944em;",[573,1475,1477],{"className":1476},[631],"3",[573,1479,1481],{"className":1480},[631],[573,1482,1485],{"className":1483},[1484],"mpunct",",",[573,1487,1489],{"className":1488},[631],"5",[573,1491],{"className":1492,"style":656},[635],[573,1494,1496],{"className":1495},[631,701],[573,1497,1282],{"className":1498},[631]," auseinander. Wie weit sind sie auf einer Karte im Maßstab ",[573,1501,1503,1526],{"className":1502},[576],[573,1504,1506],{"className":1505},[580],[582,1507,1508],{"xmlns":584},[586,1509,1510,1523],{},[589,1511,1512,1514,1516,1519,1521],{},[592,1513,594],{},[596,1515,598],{},[592,1517,1518],{},"50",[603,1520,605],{},[592,1522,608],{},[610,1524,1525],{"encoding":612},"1 : 50\\,000",[573,1527,1529,1547],{"className":1528,"ariaHidden":618},[617],[573,1530,1532,1535,1538,1541,1544],{"className":1531},[622],[573,1533],{"className":1534,"style":627},[626],[573,1536,594],{"className":1537},[631],[573,1539],{"className":1540,"style":636},[635],[573,1542,598],{"className":1543},[640],[573,1545],{"className":1546,"style":636},[635],[573,1548,1550,1553,1556,1559],{"className":1549},[622],[573,1551],{"className":1552,"style":627},[626],[573,1554,1518],{"className":1555},[631],[573,1557],{"className":1558,"style":656},[635],[573,1560,608],{"className":1561},[631]," voneinander entfernt? Zuerst in Zentimeter umrechnen: ",[573,1564,1566,1597],{"className":1565},[576],[573,1567,1569],{"className":1568},[580],[582,1570,1571],{"xmlns":584},[586,1572,1573,1594],{},[589,1574,1575,1577,1579,1581,1583,1586,1588,1590,1592],{},[592,1576,1456],{},[603,1578,605],{},[603,1580,1282],{},[596,1582,849],{},[592,1584,1585],{},"350",[603,1587,605],{},[592,1589,608],{},[603,1591,605],{},[603,1593,679],{},[610,1595,1596],{"encoding":612},"3{,}5\\,\\text{km} = 350\\,000\\,\\text{cm}",[573,1598,1600,1636],{"className":1599,"ariaHidden":618},[617],[573,1601,1603,1606,1609,1615,1618,1621,1627,1630,1633],{"className":1602},[622],[573,1604],{"className":1605,"style":1473},[626],[573,1607,1477],{"className":1608},[631],[573,1610,1612],{"className":1611},[631],[573,1613,1485],{"className":1614},[1484],[573,1616,1489],{"className":1617},[631],[573,1619],{"className":1620,"style":656},[635],[573,1622,1624],{"className":1623},[631,701],[573,1625,1282],{"className":1626},[631],[573,1628],{"className":1629,"style":636},[635],[573,1631,849],{"className":1632},[640],[573,1634],{"className":1635,"style":636},[635],[573,1637,1639,1642,1645,1648,1651,1654],{"className":1638},[622],[573,1640],{"className":1641,"style":627},[626],[573,1643,1585],{"className":1644},[631],[573,1646],{"className":1647,"style":656},[635],[573,1649,608],{"className":1650},[631],[573,1652],{"className":1653,"style":656},[635],[573,1655,1657],{"className":1656},[631,701],[573,1658,679],{"className":1659},[631],[573,1661,1663],{"className":1662},[1218],[573,1664,1666,1713],{"className":1665},[576],[573,1667,1669],{"className":1668},[580],[582,1670,1671],{"xmlns":584,"display":1227},[586,1672,1673,1710],{},[589,1674,1675,1677,1679,1701,1703,1706,1708],{},[779,1676,846],{},[596,1678,849],{},[851,1680,1681,1693],{},[589,1682,1683,1685,1687,1689,1691],{},[592,1684,1585],{},[603,1686,605],{},[592,1688,608],{},[603,1690,605],{},[603,1692,679],{},[589,1694,1695,1697,1699],{},[592,1696,1518],{},[603,1698,605],{},[592,1700,608],{},[596,1702,849],{},[592,1704,1705],{},"7",[603,1707,605],{},[603,1709,679],{},[610,1711,1712],{"encoding":612},"k = \\frac{350\\,000\\,\\text{cm}}{50\\,000} = 7\\,\\text{cm}",[573,1714,1716,1734,1837],{"className":1715,"ariaHidden":618},[617],[573,1717,1719,1722,1725,1728,1731],{"className":1718},[622],[573,1720],{"className":1721,"style":870},[626],[573,1723,846],{"className":1724,"style":874},[631,797],[573,1726],{"className":1727,"style":636},[635],[573,1729,849],{"className":1730},[640],[573,1732],{"className":1733,"style":636},[635],[573,1735,1737,1741,1828,1831,1834],{"className":1736},[622],[573,1738],{"className":1739,"style":1740},[626],"height:2.0074em;vertical-align:-0.686em;",[573,1742,1744,1747,1825],{"className":1743},[631],[573,1745],{"className":1746},[897,898],[573,1748,1750],{"className":1749},[851],[573,1751,1753,1816],{"className":1752},[905,906],[573,1754,1756,1813],{"className":1755},[910],[573,1757,1760,1778,1786],{"className":1758,"style":1759},[914],"height:1.3214em;",[573,1761,1763,1766],{"style":1762},"top:-2.314em;",[573,1764],{"className":1765,"style":923},[922],[573,1767,1769,1772,1775],{"className":1768},[631],[573,1770,1518],{"className":1771},[631],[573,1773],{"className":1774,"style":656},[635],[573,1776,608],{"className":1777},[631],[573,1779,1780,1783],{"style":939},[573,1781],{"className":1782,"style":923},[922],[573,1784],{"className":1785,"style":947},[946],[573,1787,1789,1792],{"style":1788},"top:-3.677em;",[573,1790],{"className":1791,"style":923},[922],[573,1793,1795,1798,1801,1804,1807],{"className":1794},[631],[573,1796,1585],{"className":1797},[631],[573,1799],{"className":1800,"style":656},[635],[573,1802,608],{"className":1803},[631],[573,1805],{"className":1806,"style":656},[635],[573,1808,1810],{"className":1809},[631,701],[573,1811,679],{"className":1812},[631],[573,1814,968],{"className":1815},[967],[573,1817,1819],{"className":1818},[910],[573,1820,1823],{"className":1821,"style":1822},[914],"height:0.686em;",[573,1824],{},[573,1826],{"className":1827},[981,898],[573,1829],{"className":1830,"style":636},[635],[573,1832,849],{"className":1833},[640],[573,1835],{"className":1836,"style":636},[635],[573,1838,1840,1843,1846,1849],{"className":1839},[622],[573,1841],{"className":1842,"style":627},[626],[573,1844,1705],{"className":1845},[631],[573,1847],{"className":1848,"style":656},[635],[573,1850,1852],{"className":1851},[631,701],[573,1853,679],{"className":1854},[631],[565,1856,1857,1858,1908,1909,1952,1953,2100],{},"Ein Bauteil ist im Maßstab ",[573,1859,1861,1878],{"className":1860},[576],[573,1862,1864],{"className":1863},[580],[582,1865,1866],{"xmlns":584},[586,1867,1868,1876],{},[589,1869,1870,1872,1874],{},[592,1871,1007],{},[596,1873,598],{},[592,1875,594],{},[610,1877,1014],{"encoding":612},[573,1879,1881,1899],{"className":1880,"ariaHidden":618},[617],[573,1882,1884,1887,1890,1893,1896],{"className":1883},[622],[573,1885],{"className":1886,"style":627},[626],[573,1888,1007],{"className":1889},[631],[573,1891],{"className":1892,"style":636},[635],[573,1894,598],{"className":1895},[640],[573,1897],{"className":1898,"style":636},[635],[573,1900,1902,1905],{"className":1901},[622],[573,1903],{"className":1904,"style":627},[626],[573,1906,594],{"className":1907},[631]," gezeichnet und auf der Zeichnung ",[573,1910,1912,1931],{"className":1911},[576],[573,1913,1915],{"className":1914},[580],[582,1916,1917],{"xmlns":584},[586,1918,1919,1928],{},[589,1920,1921,1924,1926],{},[592,1922,1923],{},"6",[603,1925,605],{},[603,1927,679],{},[610,1929,1930],{"encoding":612},"6\\,\\text{cm}",[573,1932,1934],{"className":1933,"ariaHidden":618},[617],[573,1935,1937,1940,1943,1946],{"className":1936},[622],[573,1938],{"className":1939,"style":627},[626],[573,1941,1923],{"className":1942},[631],[573,1944],{"className":1945,"style":656},[635],[573,1947,1949],{"className":1948},[631,701],[573,1950,679],{"className":1951},[631]," lang. In Wirklichkeit ist es ",[573,1954,1956,1996],{"className":1955},[576],[573,1957,1959],{"className":1958},[580],[582,1960,1961],{"xmlns":584},[586,1962,1963,1993],{},[589,1964,1965,1967,1969,1971,1973,1975,1977,1980,1982,1984,1986,1988,1990],{},[592,1966,1923],{},[603,1968,605],{},[603,1970,679],{},[596,1972,598],{},[592,1974,1007],{},[596,1976,849],{},[592,1978,1979],{},"0,3",[603,1981,605],{},[603,1983,679],{},[596,1985,849],{},[592,1987,1477],{},[603,1989,605],{},[603,1991,1992],{},"mm",[610,1994,1995],{"encoding":612},"6\\,\\text{cm} : 20 = 0{,}3\\,\\text{cm} = 3\\,\\text{mm}",[573,1997,1999,2026,2044,2082],{"className":1998,"ariaHidden":618},[617],[573,2000,2002,2005,2008,2011,2017,2020,2023],{"className":2001},[622],[573,2003],{"className":2004,"style":627},[626],[573,2006,1923],{"className":2007},[631],[573,2009],{"className":2010,"style":656},[635],[573,2012,2014],{"className":2013},[631,701],[573,2015,679],{"className":2016},[631],[573,2018],{"className":2019,"style":636},[635],[573,2021,598],{"className":2022},[640],[573,2024],{"className":2025,"style":636},[635],[573,2027,2029,2032,2035,2038,2041],{"className":2028},[622],[573,2030],{"className":2031,"style":627},[626],[573,2033,1007],{"className":2034},[631],[573,2036],{"className":2037,"style":636},[635],[573,2039,849],{"className":2040},[640],[573,2042],{"className":2043,"style":636},[635],[573,2045,2047,2051,2055,2061,2064,2067,2073,2076,2079],{"className":2046},[622],[573,2048],{"className":2049,"style":2050},[626],"height:0.8389em;vertical-align:-0.1944em;",[573,2052,2054],{"className":2053},[631],"0",[573,2056,2058],{"className":2057},[631],[573,2059,1485],{"className":2060},[1484],[573,2062,1477],{"className":2063},[631],[573,2065],{"className":2066,"style":656},[635],[573,2068,2070],{"className":2069},[631,701],[573,2071,679],{"className":2072},[631],[573,2074],{"className":2075,"style":636},[635],[573,2077,849],{"className":2078},[640],[573,2080],{"className":2081,"style":636},[635],[573,2083,2085,2088,2091,2094],{"className":2084},[622],[573,2086],{"className":2087,"style":627},[626],[573,2089,1477],{"className":2090},[631],[573,2092],{"className":2093,"style":656},[635],[573,2095,2097],{"className":2096},[631,701],[573,2098,1992],{"className":2099},[631]," lang.",[560,2102,2104],{"id":2103},"typische-fehler","Typische Fehler",[760,2106,2107,2289,2292],{},[763,2108,2109,2110,2162,2163,2205,2206,2249,2250,982],{},"Einheiten falsch umrechnen: ",[573,2111,2113,2135],{"className":2112},[576],[573,2114,2116],{"className":2115},[580],[582,2117,2118],{"xmlns":584},[586,2119,2120,2132],{},[589,2121,2122,2124,2126,2128,2130],{},[592,2123,1255],{},[603,2125,605],{},[592,2127,608],{},[603,2129,605],{},[603,2131,679],{},[610,2133,2134],{"encoding":612},"100\\,000\\,\\text{cm}",[573,2136,2138],{"className":2137,"ariaHidden":618},[617],[573,2139,2141,2144,2147,2150,2153,2156],{"className":2140},[622],[573,2142],{"className":2143,"style":627},[626],[573,2145,1255],{"className":2146},[631],[573,2148],{"className":2149,"style":656},[635],[573,2151,608],{"className":2152},[631],[573,2154],{"className":2155,"style":656},[635],[573,2157,2159],{"className":2158},[631,701],[573,2160,679],{"className":2161},[631]," sind ",[573,2164,2166,2184],{"className":2165},[576],[573,2167,2169],{"className":2168},[580],[582,2170,2171],{"xmlns":584},[586,2172,2173,2181],{},[589,2174,2175,2177,2179],{},[592,2176,594],{},[603,2178,605],{},[603,2180,1282],{},[610,2182,2183],{"encoding":612},"1\\,\\text{km}",[573,2185,2187],{"className":2186,"ariaHidden":618},[617],[573,2188,2190,2193,2196,2199],{"className":2189},[622],[573,2191],{"className":2192,"style":870},[626],[573,2194,594],{"className":2195},[631],[573,2197],{"className":2198,"style":656},[635],[573,2200,2202],{"className":2201},[631,701],[573,2203,1282],{"className":2204},[631],", nicht ",[573,2207,2209,2228],{"className":2208},[576],[573,2210,2212],{"className":2211},[580],[582,2213,2214],{"xmlns":584},[586,2215,2216,2225],{},[589,2217,2218,2221,2223],{},[592,2219,2220],{},"10",[603,2222,605],{},[603,2224,1282],{},[610,2226,2227],{"encoding":612},"10\\,\\text{km}",[573,2229,2231],{"className":2230,"ariaHidden":618},[617],[573,2232,2234,2237,2240,2243],{"className":2233},[622],[573,2235],{"className":2236,"style":870},[626],[573,2238,2220],{"className":2239},[631],[573,2241],{"className":2242,"style":656},[635],[573,2244,2246],{"className":2245},[631,701],[573,2247,1282],{"className":2248},[631],". Zwischen Zentimeter und Kilometer liegt der Faktor ",[573,2251,2253,2271],{"className":2252},[576],[573,2254,2256],{"className":2255},[580],[582,2257,2258],{"xmlns":584},[586,2259,2260,2268],{},[589,2261,2262,2264,2266],{},[592,2263,1255],{},[603,2265,605],{},[592,2267,608],{},[610,2269,2270],{"encoding":612},"100\\,000",[573,2272,2274],{"className":2273,"ariaHidden":618},[617],[573,2275,2277,2280,2283,2286],{"className":2276},[622],[573,2278],{"className":2279,"style":627},[626],[573,2281,1255],{"className":2282},[631],[573,2284],{"className":2285,"style":656},[635],[573,2287,608],{"className":2288},[631],[763,2290,2291],{},"In die falsche Richtung rechnen: Die Wirklichkeit ist bei einer Karte immer größer als die Karte, das Ergebnis muss also größer werden.",[763,2293,2294,2295,2345,2346,2374],{},"Bei einem Vergrößerungsmaßstab wie ",[573,2296,2298,2315],{"className":2297},[576],[573,2299,2301],{"className":2300},[580],[582,2302,2303],{"xmlns":584},[586,2304,2305,2313],{},[589,2306,2307,2309,2311],{},[592,2308,1007],{},[596,2310,598],{},[592,2312,594],{},[610,2314,1014],{"encoding":612},[573,2316,2318,2336],{"className":2317,"ariaHidden":618},[617],[573,2319,2321,2324,2327,2330,2333],{"className":2320},[622],[573,2322],{"className":2323,"style":627},[626],[573,2325,1007],{"className":2326},[631],[573,2328],{"className":2329,"style":636},[635],[573,2331,598],{"className":2332},[640],[573,2334],{"className":2335,"style":636},[635],[573,2337,2339,2342],{"className":2338},[622],[573,2340],{"className":2341,"style":627},[626],[573,2343,594],{"className":2344},[631]," mit ",[573,2347,2349,2362],{"className":2348},[576],[573,2350,2352],{"className":2351},[580],[582,2353,2354],{"xmlns":584},[586,2355,2356,2360],{},[589,2357,2358],{},[592,2359,1007],{},[610,2361,1007],{"encoding":612},[573,2363,2365],{"className":2364,"ariaHidden":618},[617],[573,2366,2368,2371],{"className":2367},[622],[573,2369],{"className":2370,"style":627},[626],[573,2372,1007],{"className":2373},[631]," multiplizieren statt zu teilen.",{"title":2376,"searchDepth":2377,"depth":2377,"links":2378},"",2,[2379,2380,2381],{"id":562,"depth":2377,"text":563},{"id":1105,"depth":2377,"text":1106},{"id":2103,"depth":2377,"text":2104},[2383,2385,2391,2393,2395,2398,2400,2403],{"lhs":2384,"rhs":846},"(k*M)\u002FM",{"lhs":2386,"rhs":2387,"where":2388},"k*M","100000",{"k":2389,"M":2390},4,25000,{"lhs":2392,"rhs":1268},"100000\u002F100",{"lhs":2394,"rhs":594},"1000\u002F1000",{"lhs":2396,"rhs":2397},"3.5*1000*100","350000",{"lhs":2399,"rhs":1705},"350000\u002F50000",{"lhs":2401,"rhs":2402},"6\u002F20","0.3",{"lhs":2404,"rhs":1477},"0.3*10","\\text{Maßstab } 1 : M,\\ M > 0","\u003Cspan class=\"katex\">Maßstab\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmn>1\u003C\u002Fmn>\u003Cmo>:\u003C\u002Fmo>\u003Cmi>M\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">1 : M,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">:\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.109em;\">M\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>M\u003C\u002Fmi>\u003Cmo>>\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">M > 0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7224em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.109em;\">M\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","map-scale","w = k \\cdot M","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>w\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmi>M\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">w = k \\cdot M\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0269em;\">w\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">⋅\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.109em;\">M\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","lower",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Farithmetic\u002Fmassstab",[],[2418],"rule-of-three",{"title":548,"description":2376},"de\u002Fformulas\u002Fmath\u002Farithmetic\u002Fmassstab","Bei einem Maßstab 1 : M ist jede Länge in der Wirklichkeit M-mal so groß wie auf der Karte.",[2423,2424,2425,2426,2427],"maßstab","karte","verkleinerung","vergrößerung","längen",[2429,2432,2435],{"symbol":855,"meaning":2430,"symbolHtml":2431},"Länge in der Wirklichkeit","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>w\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">w\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0269em;\">w\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":846,"meaning":2433,"symbolHtml":2434},"Länge auf der Karte oder Zeichnung (gleiche Einheit wie w)","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">k\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":781,"meaning":2436,"symbolHtml":2437},"Maßstabszahl aus dem Maßstab 1 : M","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>M\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">M\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.109em;\">M\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","0Bb1n0QFxyucRiyxHUoQ3NJisWc8Ygl7h0_PexPtJPo",[2440],{"stem":2441,"title":2442,"category":65},"de\u002Fformulas\u002Fmath\u002Farithmetic\u002Fdreisatz","Dreisatz",1793824259692]