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Deinde, bifecentur TP, AT in R and V, & 
ducantur R G, CV^; & jnngantnr AC, CE, EG, 
GM; & erunt duo triangula ACE-J-EGM = 
VT V ares. 
Eodem modo, fi partes A V, V T, TR, R P ite— 
rum bifecentur in W, U, S, Q, Sc ducantur lines 
BW/ 3 , UD, SF, QH; & jungantur A B, B C, 
CD, DE, EF, F G, GH, HM; erunt quatuor 
triangula ABC + CDE + EFG + GHM = 
W V y @ W ares ; Sc fic deinceps. 
Cor. i. Si curva A B C Sc M lit conica parabola, 
( c,e)y—pix z , erit v = 4 p a x ; Sc A See. erit 
reefta lineaj Sc propofitio eadem eft cum notiftima 
propofttione Archimedis de quadratura parabols. 
Cor. 2. Si y—px\ erit v = a 1 x, Sc 
See. iterum re<fta linea. 
Cor. 3. Data curva, cujus squatio eft y =/> a: 1 ", 
inveniri poteft altera curva, < cujus dimenftones Funt 
(2 tz-i), in qua fumms triangulorum ad lingulas bi- 
feftiones erunt refpeStive squales fummis triangulo- 
rum dats curvs. 
His adjici poteft, quod ft loco bife<ftionis abfcifta 
A P alia quavis ratione in squales partes dividatur, 
fumms triangulorum curvs A B C D See. ad iingu- 
las diviftones squales erunt fegmentis curvs A/3y J 
See. 
IM 
