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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 127r, page id 00068195:0253
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65
2
si motu lineae super ceut
gulos explicis, et in finita
imagineris parallelas
in plano, et oes lineas
datas in infinitum pro
nlad
nfinca Ecorentitea datti
us
30
moter duam lincanir
ad se iclinantium
 a. b. c. c
disquiv eloces anguli sunt
in dasc velocitatu
at basis immu
bilis in mere intel
ini t ideo lata
non sequamt sib
et ingulos Lado
quod extra mensura
b
3
= =
seu centrum molus
admininanque divitas. 6 4
t = 
3
4b a = q  - 4
H.
i
mis
... (. d ∞.... D
DBs let.
n ne peut joindrea des figures regulieres
Josans caisser du vuide, si non
Er
d
Ili tres anguli sunt = a rectis
C
4
3. 2: 6. 4
2 - 4 3
ef
3f
2l
2
C
Adc
2 4b +2
= b c - d
c d a
3ba + abc -
2A. 4C et B3 hexagons. G e
Demonstrad propositionis
b
= c -
C Ergo a +b
3
brd =f
Ad- a eDB. = a Gd
aDe = g Ad
Ergo N a De + e Db.
et
a0b = gta + dGa.
Or adb + aDg = 180.
Ergo gsa+ dGa + abg = 180.
Galtruche crededit Angulos et bases crescere proportionaliter
Demonstranda est exacte haec propositio per analus sin, rectam in duas paralle.
las, seu aequidistantes cadentem facere angulos aequales.
dependet hoc ex eo, quod duorum arcuum equalium, latribus
aqualibus, chordae sunt aequales. Sed generalius, quia
omnia sunt paria. Hec propositio atilis ad alia multa demonstranda
es
utile enim saepe continuare lineam datam, item assumere eus
parallelam, ducere rectas inter quaelibet puncta data
descrbere circulos ex distantuis datis, ex punctis in lineas demittere
perpendic coones. vntus tit
sed non analube
LH 85, (12. 2
124
7: