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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 3
# Folio 5r, page id 00067962:0009
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prop 24 si duo Triangula (ABC, DEF) duo
latera duobus lateribus aequalia habulrint (ABipsi DE,
et AC ipsi DF) angulus verd ta alterum vero
angulum et alteriustrianguli (ABC) angulus (A sul.
aqualibus lateribus comprehensus, sit
major
 usi (quam D) etiam basis  ei
subtensa (BC) major erit alterius basi (EF
Enuntiatio clavinna non est castigata satis
Haec propositio plane non indiget probatione.
Nam si latere AB manente immoto BC AC moveatur
ad a versus AB simul angulus et intervallum
minuetar. Nam praestal in _o in considerare unum
triangulum tanquam ex alio faem. Itur
demonstratio et facilis. s quaeramus ana lytice
t pGminor quam BC ergo in hiangulo comtunni
debeat esset
debet BCG debit esse opposita angulo minomi,
sea debet esse angulus C minor angulo BGC quod
est verum, nam C aequalis anu ipsi AGC (quia
quia triang. A CG isosceles) et GC minor quam BGC
pars quam totum. Haec demonstratio est analytica
ubi ab eo quod deminstrandum est venimus ad certa
demonstrandi principia
prop. 25 est convers iisdem positis
si basis major erit et angulus ei ippositus
uni
sou est opq demonstratione separata
usspda contineatur. ane quae monnimus
una
ul
ad prop. 19. Nempe una eademque propositio
est 24 et 25 quae ostendit duobus hiangules satera caequalia habent idus aequaria duobus laseribus
triangnta, vel duorum hinnyaioem lateilus magnit latem magnituduibus
existentibus corbus onfes et angulos subi mon in a reu e
angulum et majorem basiu conjuncta esse
Mro
AB
AC transferendo in AG et E ABC facendo
si erit angulus B AG minor,
et  angulo B AC,
et basis BG triangulis BC minor
iasi BC trianguli ABC
FHanc Euclides demonstrnt
ope praecodentis et Clavius
habe pro conversa. Sad