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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 166r, page id 00067993:0333
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linea data A+B+ C. cujus tria segmenta
A. B. C.
Differentia inter A et B est A+ B.
Lineariasitaee quaesitarum prima est D.
secunda est C. tertia F. quarta G.
Differentiapurer D et E. seu D +E
sit triangulum lsosceles cujus duolatera agnalia
rura, sunt quantitates D. altitudo ducus
srianguli basis huaa Trianguli H. Et
semibasis H Ergo altitudo trianguli
R9 A - H
Jam palet rectam ab.
esse Hypoleum sam Trranguli Dectansuli
abg. Porro ut est ac D) ad
2
af H. ita est eb. ad bh. vel bi relyk.
ae  D dat af N. quis dat cb E.
Respo Erit Regulamtrium: EH = hb. vel bi.
 Ergo
differentia inter af. et ag.
vel Gf isa 9f est H- EH hnus quadratu.
152
bf differentiae inter ac. et be Y seu D+ E.
quod est D2 + E  - DE fiet:
quadratum de gb nempe D + E - 2DC -H - E H + 2 EH 2
Hoc quadratum de ggb. addatur _tode ag.
ur
nempe E d fiet. quadratum de ab. se AA vel de A.
Du
id est Et proinde : D + E - 2DE - H + 2CH = A A.. Ergo
Alterum latus minus bc. Quodsi differentia 2CH -H = A + 2DC- D - ∞2
inter ae et be. supponatur esse nulla
ipsa ab. seu A. coincidet cum af H.
et grit A = H.
seube
Porro ut est Nunc bc ex denio eruamusi
Eadem methoda qua  ab. seu FA.
bi est = hb. EY. At nunc res pen-
det a  ec seu F. vel enim F est
major vel minor quam b c vel aequalis.
2C -1 = N 1 2DE - D = E= = Ergo
A+ 2 4 +28E D - E = 32
25 - 1.
Ergo A. +2DE -D = E
Ex 1. 3sH= H
S aequalis necesse est aP. differre ab. e f. necessarioque
esse eo majus. Si
22 - 1 = a + 2dc - p = 52
D
Er
A r2DC. D. E= re