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# Title: [Idea Totius Encyclopaediae Mathematico-Philosoph. hoc est, Analysis Aristotelico-Euclidea] Erhardi Weigelii, Prof. Publ. Idea Totius Encyclopædiæ Mathematico-Philosoph. hoc est, Analysis Aristotelico-Euclidea (shelfmark Leibn. Marg. 106)
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De Methodo Parrientari.
Sect. 3.
5. 9. Frianeuli tres anculi duobusrectis sunt aquales, pro-
pierea quoderes anguli onjuscunque Trianenti sint aquales omnibus
ad idem punctum constitucis, nempe ancubus cDC. ob parallelis-
mum linearum bC. (5 2C. agnalis s alterno a cb. es angulus oto
d. ob eundem paralleti cumm est agnalis opposico c aB. quod utruque
superius jam amonstrarum hic solummodo citatur:  anoulue
Cba. ertus est ipsins Prianculi, per structuram, atqe sic omnes
rosanculi eninsque Frianculi ad idem punctum (b.) consticuuntur.
qui, cum simulsumti, quod alias eriam jam demonstrarum est, sine
aguales duobus rectis, facient pernomnvervotur, artres anoulic
inscunque Priansnli eria sint aequales duobus rectis: Ouod erat de
monstrandum. Sed Merhodo Syntherica hune in modus
synthetie P. 10. Duoniam omnes anculi ad idem punctum constitur
sunt aegnales duobus rectis, quod alibi sua demonstratione jam evi
ctum est, quales quidem sunt in exposito Triangulo a b C. ancule
Cb d. ob parallelismum linearum e B5 C2. aegualis opposito c2b
esangalus c b c. ob eundem parallelismum aequalis alterno 2cb.
quodnerumque superiusjam demonstratum est, es angulus c D 2. si-
mul, qui sunt omnes tres anguli Frianguli abC. simul sumpri, per
Arncturam: orunceriam hitres ancalicuiuscunque Prianguli simul
sumpri aequales duobus rectis. O. F. D. Plerumguetamen, har-
monica gualiproporrione veramq; Mechodum pront ferre
Tolerrei commodicas concemperando, sc proccdimusi.
S. 1I. Ononiam in exposito Friangulo abc. angnlus eD dl.
ob parallelismum linearum ebes C a. aegnalis est opposito C 2b. 
aneulus cb c. ob eundem parallelismum aequalis alterno 2 C b. gnad
utrumque superius jam demonstrarum supponimus; es angulus cb a
ipsus est Frianenliper sructuram: erunt omnestres anculi Tri–
uneali a cb. per aegnivalenciam ad idem punctum (b.) constituti.
gnales, ut alibi demonstrarum est, duobns rectis necessario sunt a-
quales. Unde rres angulos Frianguli necessum etiam est per Noi-
orverrosar esse duobus rectis aegnales . F. D. Cuialicer inter se
milcere placuerie propositiones incesrum iphene sciar, mo-
domancaerealis effarorum colxlio cum Lufficienei perspi
ruirate conjuncta.
analycien.
162
d120
marmonta