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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11
# Folio 17v, page id 00067970:0034
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per duo data puncta
per tria data puncta
a geometricis, rectam ducere, (circulum
angulum in duas partes secare
describere, circulum tangere resecare
ex puncto dato ducta
tametsi circulum recta tangere vel
circulo, aut secare tangere; tres
anumera
aliaque id genus quae per miras ambages
algebra exprimit. Unum exemplum
dabo, sit problema Data basi AB
altitudine B et angulo, verticis cinvenire
scilicet
triamgutum. (qui aequalis esse debet
angulo dato C) invenire triangulum
ABC. Hoc per algebram ita
quaeremus. Ex puncto C. quod pro
invento quaesito demissa intelligatur
per pendicularis CFxi cujus datur longitudo
occurret autem basi alicubi in F. eru sit BA aqu . Bd aequ. d.
sit BF aequ y BF aequ X FA equ Z
CB aequ. m. C A equo n.
erit  F x =Z aequ. b. Ergs  + Z + 2xZ equ b2
(4.)
m d aequ. d.  R= Z aequ. d2
Ergo per 3 et 4 eril vi + n aequ.
Ergo m- r aequ. X= Z
per 314.
jam Fx FZ in Fx +Z aegu.
seu +bx f b7
C67
aequ. N - 
Ergo +x + AZ aqu - n
8)
sine FX asu.  + n n 4 b
et =27 lequ+ n f - b
Habemus ergo X et Z. restat inveniamus
m et n. Quod sut fian ex A in CB
(si opus productam) demittatur perpendicularis
AG AG, erA quam vocabimus v.
erit AG in CB, (seu vm) aegu DB in BA seu bd)
ergo V aequ. bd. potendoque
n
BG  sesse 9 et CG esse r.
patet et(+)9 (r aequl m
Patet eodem modo inveniri debere, 9cL Y
ex b. n ed m, quo inventa sunt
4)Y ex m. b. n. b
quo inventa sunt
X. Z ex b _. n. d
Ergo (=) 29 aequ b. n
vel cF