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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11
# Folio 32v, page id 00067970:0064
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 33r); this page is its left half.
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Punctum A. b.
Linea 36. 366b 9b. via puncti. Hiuc punctum lirea genet aliter vorabimus at
lis
Recta 3bA6bC9b. via puncti duobus in ea si opus producta
ea ea sumtis punctis determinata, per compendium etiam sic designabitur: AC
superficies: 336 36b39b, 63b66b696, 93696699b.
seu via, lineae 1Hinc punctum superficiei quodque vocabim deneraliter
vicabimus
Planum 33b 3A 36b3C9b 63b6466b 6cE69b 96b 9c99b
in ea si opus producta sun
soli-
NuxPuia rectae
Iisdem positis si 3b ∞ a. (adeoque 33b0 3a.
63b ∞6a 93b coga) et a ∞ A
seu 3a ∞0 6a e09a) sive si A immotum
Angulus idem obsta A
si sit  ob ob  A 6dod
erit angulus b A L. 9b3t A5d D ang
dicetur 9b3bA3d ang. idem qui 6b3b A3 d
Anguti parde (eodem modo bd 3d A3b Dang.
itaque angulum compendia exprimore possumus bo qabHbd
Anguli pars: si sit superficies aliqua
scuius puncta g sint  iisdem
positis si sit superficies 
Cujus punctum quodcunque aβ9. et
et sitt ) b species ipsius ast g it
et sint 6b. 6d dat sumtae pro arbitrio
sivesis Ab species . ipsius ) b d species ipsius Dd
et ab sumunturque aliae ita ut sit
Asb A3b6b A3d6d quantum
satis est parva.
et ducatur minima
linea 3b3d quae in superficie duci illa b
illa duci potest, ea si occurrit ipsi AB9
erit linea ASf intra lineas AVb et ABd
sive  sive erit angulus Vb A Bd
totum cujus partes anguli Vb ASf. SfABd
Sed satius est missis curois rect
Hine jam facile intelligi potest,
quomodo anguli angulo sit aequalis
Si scilicet sit congruus ex toto vel per
partes side si in eum possit transformari
in congruentem. Quomodo jor
minor, si cilicet parti alterius sit, aequalis.
Sed si omissis aliis lineis superficiebus
de solis rectis planisque, aut ad su nunc quidem
ratiocuari velimus rem ita instituens.
A
et contra R. 13. d unica ad B. d ergo A mino phsit ob A. B. D angr A. B. C. E dit D∞ E.
A. unica ad B. D. ergo A. B. d. unita ad B.d
B. D unica ad C. ergo B. D unica ad D. C
et contra B. D unica ad D. C. ergo B. D unica ade Si non sint A. B. C. in eadem recta sitque
A. B Canica ad c. D. Ergo A. Bunica ad D. et ob A. B. C. D congr. A. B. C. E sit D ∞E e
hoc sequitur
Sed non contra AB. unita ad D. ergo A. B. C unia ad C. d
potest enim duplex esse C. et fei A. B. C ad C. D
A B (C)
Nota si unum punctum ad tria punctas non habet
uuicam relationem erunt tria illa puncta in eadem
in universum si adem punctum ad puncta quatuor
recta
non habet unicam relationem, erant ipsa in eodem plani
cujus rei ratio est, quia si tuia puncta sequitur inde
 rclatonem ad tria non differre  reclatione ad duo
sid ie nlipun ad lis deternari
Sd A 6b C 90
 eet 34
36b 66 ∞ B 3
ob ab 16. Bb  B
tis
a 3b ad 3d duci potest
Sr punctum aliquod non
si nn nisi nm relatio puncti unius ad
duo alia sit unica erunt sipsa ut
ea omnia in eadem recta
aliqua recta et contra
se in una recta
una