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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 70v, page id 00068196:0140
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eracte
denominator qui est inaequb dividendus est per 20y+214. Ergo ob aequatione destricti
tiam residui, fiet
Siau 26 = 30 hosrum - 100 ab nn  mult. per, 21. 21
S1a = 26 = 2. 30. 3ffrum - 2.10. 11 alibnn, quod mulk. per - 20. 21 ( = 28 =0
52 = 27 = 31. 31 aaffrum, - 11. u abnn, quod multua per + 20. 20.
Unde fiet (21.30 - 20. 31) fm = 29 = (21. 10 - 20. 11)niab.
2. 20. 30. 31f5mm - 2. 20. 1b. 1 ab nn 20, = 30 = 0 = 31 ~ (20)y + (21) a; 20
Quotiens autem divisionis per aquationes 2.
erit
per 1) dividali Hungerator qui dobet esse communis divisor Numeratoris 14 et denominatoris 16, (dio idatur
+ 20. 30. 30 a ffmm. y
sinsto
- 20. 10. 10 aV nn 3)
= 2. 21. 30. 30ff nm - 2. 21. 10. 10 ab nn
ividut  numerator 1 et ob aequationem similem ipsi 24, nempe (20) 20(52) - 401) (51) + (21) (21) (50)  osfiet aequatio
o smm. z 20 lonabum sem per Ea a) -b = 0
(52) = . 31 a bffrum - 11. u a bb nn +29. 21 a hFf, quod mult. por qu, + 20. 30. 30 H mm - 20. 0 te abnn senper(1c) (20)
(5,1 =2. 30. 31 a b ffmm - 2. 10. 11 a bb nn + Z. V. W a h ff squod mult. per, - (20) (2
ubi i tam in multiplicandis quam multiplicatoribus, projun substituento mins mult per numeros asuurtitios secundum aequationem 
Residui
evanesent etiam f et m in mustiplicatoribus, sed in multi plicandis evanescet tantum s, et habebitur valor ipsius um per aa et per
meros numeros assumtitios. Quotiens autem divisionis ipsius Numeratoris in aeq. 14, divisi per D, ut ede erit
admodum aguu, (o E0) (50) y  +20. (26) (51) a - 20. f1) (50) a, :, (20) (20)  et  = 37 =3. Et ita habetur valor ipsiis W
Ex plicetur et jam et Valor 8 ipsius W, pro. Z et q positis valoribus ex aegq. 9 et 10, et quod
C
nempe W = =, 20y + 21 a nempe W = 38 = D:, 20y+21a
et qui prodibit ipsus W valor debebit coincidere cum valae ex aeq. 38. Quod ut efficiatur commodissimum, hoc
cum numprtore multiplicatus per arbitrariam dividatur per
per quotientem dividatur de Numerntor perbitriant dixinus multiplicatus, et
videtur, ut restruatur  in numeratore, et denominati
per binas aequationes coindidentiantes. Ita habemus destructitias tres, et coincidentiantes i duas, adeoque opus
cujus
20y +2a,  ressu tu
destinatur resiodum
ad huc est aequationibus quinque