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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 233r, page id 00067993:0467
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10( (61
10080
100 09
10000
10000900a
810
8100
110
p
Quotiescunque terminus unus numeratoris est in nominatore
tunc divisionis portio fierius sub trahi q po ab unitale
ileso.
amum
Jam 2 -
Aa
a
na.
qaqu
faa = 2a - a
=a 2
a vel 1 -  = a + s - a - 3
y2+ a
V +a
+ a
eo  5+ay -a quae omna
Ad et dici poterat
1y ya
y+ ay
eodem redeunt
u u seg e e sinult simubus A Aomologa  anfl a per.
STaK X a quadrato sinus ade a pe:
ae
32a
sra
 residu Radix quadrata dat differentias figurae cujus
fiet: 12ax -X- a sed quia necesse
et
est esse, a  minus quam X, ideo fiet potus Srax- x - a -X +rax
ta acts hmo
sive V4aX = 2X = a Ino sic potius: pro a substituntur b
quadratum constans quod subtrahendum es, debet esse minus
quam . X, potes. ergo sumi, cujus voles parvitatis, ut quam
longissine propedi possis ad minutissimos etiam sinus. Sed
quod omnibus X minus sit, seu quod sit omnibus analogum
sumere non potes. Deberet enim esse punctum. Jam
ergo assumatur ba, pro quadrato constante subtrahendo, vel
fier a. Mhabebimus. +a
Srax - X -
vel (a
Ergo hax - X = y + a. sed hoc
 et
Sumamus:a- X = y)
unde substra hendo aliquod quadr constans, f vig. = a
siet a =X = Y. Ergo Circuli alterius, cujus radius minor est
radio dati, figura quadratii est habet Curvam circula hom
Sinubus hrmologam. Idem de Hyperbola eodem modo
cum ejus aequatio possit esse a + X = y unde
eodem modo fit: a - X= Y. Atqui alibi ostersum est
demonstratur.
paoli Curvam Parabolicam esse figurae Hyperbolicae homo
logam. An ergo illa Parabola Huperbolae quadratrix intelligi
potest, non opinor ista ergs conferenda ac ocitanda sunt.
Curva