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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 203v, page id 00068194:0406
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=406
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3 decem 1678.
a
N
cons
cnspollema pappe planum a Castesio rulatim
 loco ordinatarum vulgarima
quae sibi sunt parallelae, eti loc
 sebscisatum vulgariuq
smil partes ejusdem rectae alia
possunt adhiberi inde termina lae
seu X. Y verbi gratiae quc ex
quolibet puncta curvae ad duo puncto
ad hac altio
modibitamusdata dicuntur. Hinc in circulos
si quaesitae puncta data sint AB extrema diametro
non AD. Ad et g diameter ABaqu a indeterm
sed dH. patae ∞ CY. fiet aequatio: Xu
L
arcum tt XE+ Y aequia.
esse partem si locus sit ad rectam seu si punctum
cuusdam d cadat in rectam FDG. tunc inter
tidae dati literas X. V. a. btalis prodibit rclati
circuli posi
et non sic investigabitur
deuram paralletam ipsi. AB et distintitm.
AL, portio. ED aequani acas datae magnitudini b
sed rectam
nen rectae fiet A2 aequo X = b et q BE equ.
postione a + sx- V et DD aequ:
datii eBd seu y, agt Va +ea r b  + X. b
seu y = X + b- a aequ. + 2a x. 60
eteG - 2yX + 2b. Y + X 2b X + B sgu 2a . 1 ab
+Et
en g 2yX r2b. y a X= ib a B lequ 2a x- 2a1
seu 3 - 29 X + 26 y + X. 212 x 4 aequ.  quaetamae
2
+2a
aequatio est ad lineam rect traes
quod miretM
et egregi usus Nam ita facillicuo linearum ducto
respondet catculo ingenti. Hinc det si duae
dertur aequation
una aqu. 5. altera veri
sit X + 5 aequ. a facillima erit constructio, seu
Ai P
2