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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 2
# Folio 8r, page id 00067961:0015
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Punctum. A.
Linea 1A2A3A etc. item BC Bed eu
 sitit. A = A3 A et 1BLB5B. congrua
sintque A. B
si cotgruaeL 30
1β230
si jan (2 AeBK
hint congruae A A, A  4A etc
1B, 30
1b in Recta inea
Sint congruae B. A2A erc D.
et F1E2E et G
et coincidant B et F. Item coincidant D et G
 coincidantque etiam et ob hoc ipsum coinci
dant etiam A et E respondentes responde
erunt B AD, et FEG, una eademque
recta, s ita ut BAD et FEG sit
una eademque linea, ea linea dicetur
imo congruorum mentione carere
esse recta possumus sic enim brevius et gener alius icebit:
Superficies est: 1B. A2A esc.  (B 1n 21 A C
Planum si sint congraae L
vel breriusidi sint
S angr, A3A esc.
Si respondeant, A+ ADA. esc
1E26 3E ec
Si in duabus lineis. A2 A3 Aec et 1E2E3 Ee puncta
A et E ita ordine respondentia perpetuo
assignari possint ut coincidentibus duobus
A, cum duobus respondentibus E, coincidant
reliqa reliquis necesse sit eo ipse coincidere
reliqua reliquis respondentibus seu linvam lineae,
ita ut non nisi una eademque sit linea ea
des
Et hoc est quod voluit Euclides puncta Rectae ex aequo jacere,
linea appellabitur re CTa. id est in nullam partem declinare, alioqui pariatio oriretur,
Superficies est  dabitur aliud quod declinet similiter in dextran
1A2A3 A C 12A22A3CA eC 13A 23 A 31 A d eC .
Si induabus superficiebus, A2A3 ABC 12AI2A2A e 13 A23 A B A GC
et, E+ E3E8C 12E22E32E ec 13E23E35E dc.
puncta A et Eita and lineae A AABC coincidant
linea 1A2A3AHC coincidat lineae 162E3Ec
et linea 13A23A33A coincidat lineae
1E23E33E8c. Coincidantque ideo etiam
J2A 22 A32 A cuc Rc. cum 1 E22E32Eet
non ideo superficies erit planum, nisi
lineae intelligaritur esse rectae. ali qui
Cnim supenficici quoque cylindri poterit
applicario. Quod quia ex ipsa definitione
non apparet, ulum non potest habberi definitio
pro perfecta
Neque etiam facile ex his patet cur sint
tantum dimensiones tres.
et nam siquod punctum declinet in sinistrum
et ia giversae prodibunt lineae, licet coincidant,
otrema