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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 43r, page id 00068073:0085
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ess
Tentamead dimers. arcus particularis
e
sileda senta
soleda F
bi
a
ejusque resumantur literae
10 Martis
1659
u
ADR quadrantis cujus centrum Q. AD arcus
quadranteminor ZB sinus complementi. AT tangens arcuD.
e2 secans ejusdem. Sit curva coco erc. ehibens
euius ordinatie Bco exhibeant rationes secantium
ad arcus seu ipsarum QT ad arcus AD, patet
primum arcum (incipiendo ab A seu ponendo 
 incidereni A. sine AD esse infinite parvam,
secans vero ei respondens erit ZA. est ergo ratio
sicantis ad arcum hoc casu infinita repraesentanda
per Asymptoton ATW. similiter ultimus prcus
ADR est quantitus finita, at secans ultimus
est quantitas infinita. Ergo ratio secantis ad
prcum in hoc ultimo casu etiam infinita est, quare
re praesentabitur per asumptoton aliam ghL.
Curva autem coco inter has duas asymplitos
describitur, unde patet ab utraque parte verticis
2 jub quam patet primum accedere a partibus
W, versus re ac ubi s AG, et ubi satis accessit
seu ad minimum ab ea distantiam pervenit, quod
ponamus fieri in vertice 2c, eersus ab ea
discedere. Quaeritur punctum seu vertex 2c0,
vel potius quaeritur
punctum ei in axe
respondens 2b. e
omnium Beo minima rit
tangens per tam ducta per 2eo ipsi axi AQ.
a
Si 2 Beco est urvae
parallela. Primum ergo quaeratur
curvae Wo co tangens, ad
sit