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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 217v, page id 00068195:0434
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Siby + abh - 3 + hy   Ex +9y + l ,  + a y + 
Et quadrando
d
ex A data definienda  BD
Exy data habetur CBe D y as et AC  y- , vel y itu
Ergo DC, 1 oibus Sing, + 2bh . 1ngo, - y1 .d - 2GrB
Ppay  rae +ay + aC+  cy.
Be
s
Uo fori ple rty + n - 5   8y ulueyfas 
etie V  (I2AB., et rurs quadrando
114
n
ory 1 108y +207y +207y + 
149...
au
Ha mellooo in fallititis caluli executio est;
quoniam enim non nisi 4 dantur aequalium e
+ D~
=g f.- amg.
+41
201f . 4loe
yt V apt aer) as
et s sunt indeterminatae, ideo, sub calculi l
tinem ei quae superest, id est cuilibet talis attribui valor potest, ut quacquid diffi-
cultatem facit avanescat. Sciendum est autem diumetrum sectionis Conicae statim
determinari, dum scliet recta g. et per consequens recta AB AE indefinita determi-
natur cui ducitur tantum dianeter parallela. Sed cum nova in ex oritura sit
difficultos, quod scit. applicatae ad diametrum non ideo statum eundem angulum
facturae sint, ideo potest potest relinqui principplis diameter seu axis: modo
vel ubao
etiam a recta quaedam ut ky addita intelligptur, quae conjuncta
Cum gy, fat no uno nomne possit vocari y. vel ut libuerit unde
6
calculus manet idem qui ante. Eadem ergo methodo in aliis figuis
altioribus quoque uti licebit. Uude methodus datur hac ratione tum crculo
luva qualibet data construendi, problema quodlibet, cujus aequatio unoo natu
altros non est quam curvae natura postulet. Nam si lugra sit trium dimer
sionum, habebuntur 7 indeterminatae, quatuor a circulos latere; et 3 ab
ipsa cuva; pro plocndis aequationibus b dimensionum, ubi totidem aequa tionibus parti
cularibus opus est. Et ata semper una indeterminata super numeraria haberi
potest, quae servat ad deprimendum aut contragendum calculum.
Gransferenda est bidem methodus ad sectiones angulares, ut earum gre
ouma problemato quam compendiosissine solvantur. Unde et fccile et
statum haberentur, appropinquationes sine ullo calculo; quoniam sectiones
ingulares jamtum habentur per Trigonometriam.
Ca - bm, vel r
Crh b- bm.. Ergos 2 h 4 b+m, 
un ee substituatur d6G
ce