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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11
# Folio 30v, page id 00067970:0060
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 31r); this page is its left half.
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Recta AB.
Angulus rectilineus
AB + BC  AC et B AFACB C D3 E + BeA A BA et 3eA+ ACep 30 6C
st A DB+ BCHBC AB +
AB 1 BP  AF
quales
Ingutes
 ABCp
si BC (B + BP+
Aa+ BC p
AB + BD 
A3C + ed
AD + 26a 
BC
P
Ar
BC
By
His ppositis si Ae Aege
si ABC potest congruore  ABy C
erina anguli tPt ABP re
Anguli aequales:
Duo quaelibet puncta A. B. sunt in un
A. B. C
Fria puncta Cesse in una recta sic
significabimus: si AB+ BC  AC vel
ae
vel ACFCBB AB
vel sercA 
va BA + ACH BC
Tria puncta A. B. C. non esse in una
recta ita significabimus
si AB + BC p AC
et AC + CB p AB
et BA + AC p BC
nam hae tres conditiones simul ad hoc exqu
exprimendum necessariae sunt nam si
A B. A. C
ordo punctorum rectae esset
foret quidem AB + BC p AC itemque AC + CB p AB.
et tamen puncta tria cadere possunt in
unam rectam.
Si tria puncta A.B. C.  non sint in
una rectae et tria puncta c. B. D
sint in una recta tunc tria puncta
AB D non sunt ir erunt in una recta
Nimarum AB+ BCp AC. ACACBH AB. BA +AEpOC
IVe CDtBCH ed rel verC BeBdrerd
si jum ABa Bd AD. Nam si A
in una recta et et A. B. D,
si enim AB + B A 1, AD
Num Si A orc
in una recta erunt A. B. C. in una recta
Haec des Haec propositio demonstrata est suo loco
potst ex definitione rectae a nobis condita
sad et nunc quidem pro axiomate sumi
potest.
pria quaelibet puncta sunt
in eodem plana
B. C
A
Hsob
 AC et B3d +3dCH BC et 3dC + cbd p 3 3d6d
AB BD
erit ang. Ve B Zd idem quod anus ABC
explicandum qui
alterius
Iisdem positis sit _ CB+ BHH CH. B35 +3fH, BH
3fH + H6f Y ~ Gt3f6f
sequitur expositis)
et BH p Byd erit
jam si sit ABH co congr. AByd
 erit erunt anguli ABH. ABC recti
Hinc facile etiam explicari potest characteristici
quis acutus aut obtusus.
u
oi
C+C
A AB+ BH p AH (quod
Hinc apparet Quomodo
ita exsor Schemata
literis exacte repraesentari
possint