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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 19
# Folio 36v, page id 00068016:0072
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 35r); this page is its left half.
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1b34 gu
utda eigui
5+ D 65
a. 11. aegi C
Caequo pauto minus quam. H
5. 4 C equ e8 von 17
1 AB equ. Z equ. 90
AB aequ. Z ) qu. 97 164f,
119 196
De aeque aequ 54 9
Ad aequv aego 65 105
Bd aequ
72 12
trocngs. 3. 4. 5. multipl. per 8
17 aqu B. sit Cs I. aequa
Zaqu. 90. (15) BC. y aequ. 91 (15) Ad. v. 54(1) D, X(65 (1) ter: bego 37. 11 aequ es2 = 25-
BC - AB seu y- Z aqu 17 (1) . BD 72 (12). aaequ 1t (2) a
qe  seu e L.  fc  4 seu b  (25
ei fago 2b - C Ego 304 26
siotiq 17 ((aequ. alnqu ugo 1413 (23 2). faequ. 23 (47) ex
ecegobaqu. 131 27 13 E49
daequ. 8 ut  e (1411 2 + E aer) 196
196 , 9 aequ  aqo ( 136 (a2 3). Mago 29 - a
aequ v24 2 591 1214
9 aequ. 1691 29 37
29- a aequ. 927
7aequ. 38 5 qu 28. Z7 A7. 30. vero 55. X ago 22 5f
n -X aequ 33 cqu. a eeZ aequoue
0 aequ. 66 ud faequ. 2b - c. 99. d 58566 aequ 566. qu 67
gaequ dl equ. f5 3 et maegu 90 = - 73 aequ 57 5
eE.  XH
 raeque (ad na et quia 12 s e Z per 3. et  d
e e h2
seroblema 1. video solvi posse sine calculo, quia datur Angulus Bd. datur
et any et ratio AB adBd. item quia datur ratio AB ad different. inter AB et BC
ideo dabitur ratio AB ad BC. data jam ratione AB ad BD, item BD ad BC habitur
ergo et ratio BD ad AB, item AB ad BC. dabitur et ratio BD ad BC. ergo dubitur
et angulus C. composita ex his duabus. Ergo datur et angulus C. Dantur ergo omnes
anguli hnjus trranguli ABC. quia duobus datis datur tertius. Sumatur ipsi CD
aequalis DE et jungatur BE. datur Angulus CBD (quia ipsi C supplementatis) ergo et
ei aequalis DBE. Datur et angulus ABD (quia ipsi A supplementalis) ergo et
unum latus AE. Datis autem hianguli tribus angulis et umo latere, dantur reliqua
Habemus ergo et Trianguli ABC omnes angulos, et latus unum, quare et
AB + BC aqu. O. AF + Cd aequ
seu B - BC2= - OCD + BC A CD aequ1 (M3. Ed p, dC
AB AE AB
datur AB ad BD. si jam daretur Bd ad BC dantur DC daretur et AB ad DC, jam si daretur AB ad
AE D
AB aequ D- B aequ +- Cd
BO ad DC daretur et B( ad DC. ergo data BC ergo si daretur BD ad DC, daretur et AB+BC ad DC
AB qu. 8
Cd + BC + BC~Cd
ABOCDAEt CD aeqo 8 aequ 1 +
aequ. 3 - 1 - cd - BC aaequ. C 1 - 8 + _ t + cd 20
AB + BC p C
AE Bet Cd
AB+ BC  B. 1
_Ed aqu.  3 - AE. cqo D 01B
AC+Cd ap Aoqo A EDC. Ero AB + BC  t Cd qu. L ap. B + BC B L + Cd aqu L. Ergodatur   BC3 + cd
AB aequ 2
Baequ D.
AB+ BC, C
datu Ergo datur et MC 2+ cd + AB
2 ergo datur Bc  + Cd a+ pro Cd substituatur) datur et ABC
jam et oyu t  d aqu 90
si ab eo detraratur datus DBE, dubitur et residuns ABE, Ergo Trianguli BAE dabuntur per equ. 1. est  Y qu g  seu  sit fe
tres anguli duo angulis A et ABE. adeoque et tertius AEB. Ejusdem trianguli datur
datur ergo et latus AB Trianguli BAE, latus AB. o unde ate
ipsum habetur quod erat facientum desideratum
5 ilem AB aequd.
AB+ BC. +
d
CCd lyudatu ertioec basis trianguli quaesiti, et per H ducatur recta AHP angulo GHP
ACEF CO AC semirecto, secans
1067
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f27154 p0 1067
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141. 195
o
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Tricmus. est cdh est
A
est
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