Folio 123 r (final text) |
1
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trova di fc, cd, la [terz]a proporzionale fi; come ic a ca, così fa, cs a cn; trova es per i [quadrat]i ec, cs; trova rn; come cs a sn, così ec a rn; vedi se la metà di sn è media tra nq e qo. |
C01
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ic ca cs (2000 * 2000) : 2004 3/5 2000 * 2000 = 4000000 4000000 : 2004 3/5 = 20000000 : 10023 20000000 : 10023 = 1995 4115/10023 |
C02
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[quadratum] 2000 2714 2/7 * = 10856 + 2714[0] + 18998[00] + 5428[000] = 7365796 7365796 - 4000000 = [33365796] sqrt 11365796 = 3371 |
C03
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[quadratum] 84 1/6 84 1/6 * 84 1/6 = 7056 + 14 + 14 = [7084] [quadratum] ao 7054 7054 + 13056 = 20110 sqrt 20110 = 141 |
C04
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(2000 * 114 2/7) : ic 2714 2/7 114 2/7 * 2000 = 228000 + 285 + 286 = 228571 228571 : 2714 2/7 = 1599997 : 19000 1599997 : 19000 = 84 1/6 |
C05
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3371 - 2000 = 1371 |
C06
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2000 - 600 = 1400 |
C07
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2000 + 114 2/7 = 2114 2/7 |
C08
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100000000 : 10006 = 9994 |
C09
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714 2/7 - 600 = 114 2/7 |
C10
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(1473 2/3 * 2800) : 2000 1473 2/3 * 2800 = 1178400 + 2946933 + 932 = 4086265 4086265 : 2[000] = 2063 |
C11
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2000 - 1021 3/4 = 978 1/4 1021 3/4 * 978 1/4 = 8168 + 71475 1/2 + 918953 + 23[0] + 7[00] = 999526 1/2 sqrt 999526 1/2 = 999 999 [* 2 =] 1998 114 2/7 * 114 2/7 = 456 + 1140 + 1140[0] = 13056 |
C12
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(1000 * 1000) : 1400 1000 * 1000 = 1000000 1000000 : 1400 = 714 |
C13
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C14
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(2000 * 2000) : ic 2714 2/7 2000 * 2000 = 4000000 4000000 : 2714 2/7 = 28000[000] : 19000 28000[000] : 19000 = 1473 2000 - 1473 2/3 = 526 1/3 |
C15
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2800 * 2800 = 7840000 + 4000000 = 1184000 sqrt 1184000 = 3440 |
C16
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| | ab | 1000 | bc cd ds | | | ac | 2000 | se cs | | | ae | 800 | | | ce | 2800 | | | ef | 1400 | fc | | | fa | 600 | | | | | | fi | 714 2/7 | | | ic | 2114 2/7 | | | sn | 1874 2/3 | 1824 1/3 | | | nc | | 176 2/3 | | | es | 3401 | | | rn | 2043 1/4 | | | nq | 1021 3/4 | | | qo | 978 1/4 | | | ia | 114 2/7 | | | ao | 84 1/6 | | | si | 3371 | | | | oi | 141 | ic 2714 2/7 | | | la | 114 1/3 | | | rn | 2550 | | | rq | 1275 | qo | 675 | ro | 550 | qn | 1325 | qo | 725 | | | qn | 1275 |
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