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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11
# Folio 32r, page id 00067970:0063
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Aug. 1679. Scheda 4.
Punctum, A. b
Linda est via puncti 3b5b9b
Rera est. a ob Ab Cyb linea solis duobus
in ea si opus producta datis punctis determinata
 dueresta latem
s
seus 3b A6b C 9b 3 3d A6d C 9d.  5i.
ambae sunt Ractae
1
Ergo ponendo 3 ∞ A∞, 4 ∞ Cayd 3d.
erit A6bC ∞ ABdC∞ sive unica erit
Ergo recta AC  unica est recta AC. inter
duo ex trema A. C.
Recta inter duo extrema simplicissima est
quia solis extremis determinatur, quo nihu
simplicius interduo ad lineam inter duo extrema
determinandam assumi potest.
Hinc pars rectae poti similis est, seu seu
sit A6bC ∞ AC erit ACB s  sim 
seu A6B sim. A6bC
Recta nullus habet plagas diversas,
Recta nulla habet latera diversa (concavum
a convexo) seu si sit A. B. C
seu si sit A. B. C  congr. A. D. C
erit A. B B. AC. congr. D. AC
d
Adhibeo similitudinem, proque ea utor signo: simer tt
aequalitatem
majoritatem
minoritatem
congruitatem
coiucidentiam.
Angulus angulo aequalis
NC od Ad B se
3d6dB dese B
contr
e
ABC
Anglus Angulus dBe si 6d3dB et beZe B
sit
Anguli pars dBe pars fBe si Cf Bp ysB
1 B p ZdB eoque posito sit d s ofxe
id esst Si sumta a B3d utcunque parva n
seu Bid p B2d  positaque id ~H. 6C∞ L
ductaque recta Hbu L sit 3f ∞Eg.
s Video in exprimendis punctis
maxima opus esse cura
Quandocunque puncta in aliqua linea sunt
data, quibus ipsa linea determinatur
ea voca exprimemus majusculis A. B. C. ex
Caefera omnia lineae puncta exprimemus
una minuscula, ,ut d. ita tamen ut ipsa
puncta discrimnentur numeris adjectis, 3d ad
3d. 6d. 9d.
equod si jam assumamus
3d, (exempli causa) id significat, punctum quodlibet.
 n u a u a siesin
l1n
se
.dest B3d p daaassignata B7