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# Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65)
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d
Cd
INa
IS
ubla
(al
eAt
tci
C1.
M
a
Ve
AY COLETHEATIONE.
alis incidie; tum angulos alter-
s tum oppolitos, aqualestacit.
Demonstratio.
Cum enim recta parallela unam eancem.
que habeane directionem; per Dictam. 18. recta
transverlalis incidens in unam, incidet eddera
sub versentia in alteram, homologis ex parti
bus spectata.
Scholion.
In Fig. rq. (ubi signa Llorum non ue genera-
lia, plus, inus, aut equale; se d eadem eosdem an-
sulos ieniticanE) (1) quoadt alternos, LluS FOB.
est verticalis elo COF per aquipollentiam juxta
Dicc. 18. tirjus autem verticalis purus eAt F. FD;
illius verticalis purus aXF, quod idem de vi-
cinis est incelligendum. Firso anguli alterni lune
aquales per Proc. 3. (2) quoad oppositos, F1s. 15.
LluS F. OB. Coincidie IO FOV per aequipol
lentiam juxta Dic. 18. hurjus autem verticalis
purus est LIuS CinaFi; illius A. F quod idem
de vicinis est intelligendum. B. Ili oppoliti
quantur inter le, per Prod. 3. C1. 2. 8). F. D.
X
Condicidmen l.
Interni duo anculi ad easdem partes, B-P
55 D F consiciune duos rectos. Idem
de externis ad easdem partes verum est,
t Clus FOB ( DIF. sint 2. recti.
Condictamen II.
Si in duas rectas transversales recta inci-
X2 4
dens
t
III