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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 11
# Folio 5r, page id 00068056:0009
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 6v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 26 lines, status machine
# Lines: 26 recognised, mean confidence 0.95
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Si Catena CA sit ex filis FC, Eit utrinque annenis ac gravitate
carentibus, ita ut capita C. E sint pari altitudine, detur que anguluo
inclinationis filorum produitorum CGa. et eatinae totuis positus, cujus
vertee sit V anis VB.
1. Licetit hinc invenire tangentiam in dato quovis catenae puncto
gelut si punitum datum sit L, unde duita applicata Lu dividat.
aequaliter anem BV jam si angulus CG A sit gr. 60. erit imelinanda
a punito A ad axem recta AW, equalis  AB, cui ducta paralleta
Le, tanget eurvam in punito L. Ien si lafera. GB, Bi, Alg
sint partiam 3, H, 5, erit Alo, ponenda partium A
. Onvenitur porro et recta linea eatend aequalis vel datae cuilibet
ejus portioni. Semper enim dato angulo CGe, data erit ratio
axis BV ad curvam VA.
Velut si latera GB, B+, aG sint ut 3, 4, 5, erit curva V tupla
axis Y1.
3. Item definietur radius corvitatis in vertice V, hoc est semidiameter
circuli manimi, qui per verticem hunc descriptus totus intra evrvam
eadat.
Nam si angulus CG et sit b0. gr, erit radius Curvitatis ipsi axi
BV aequalis. Si vero Angulus CeAt sit rectus erit radius curoitatis
aequalis curvae VA.
. otait et circulus aequalis inveniri superficiei Copoidis ex
revolatione Catend ciria axem suum.
Ita. sin angulus
CGA sit 60 g2. Erit superficies Conoidis X Catena CVH
denita aequalis circulo, cujus radius possit dupeum certangulum