Sit portio ABC, qualis dicta eſt, & in ipſa planè inſcribatur recti
linea figura AEFGBHIKC. portionis verò diameter ſit BD. oſten-
dendum eſt, rectilineæ figuræ centrum grauitatiseſſe in linea BD. ium
gantur GH FI EK. quę ipſi AC, & inter ſe ęquidiſtantes
erunt. hę verò lineæ diametrum BD ſecent in punctis NML
Quoniam enim lineæ GH FI EK bifariam ſunt à diame
tro BD diuiſæ in punctis NML, trapezium AEKC duas
habebit line as æquidiſtantes AC EK, quas bifariam diuidit
DL, quare trapezii AEKC centrum grauitatis est in LD. at ob
eandem cauſam trapezii EFIK centrum est in ML; trapezii verò
FGHI centrum est in MN. lineæ enim LM MN bifariam
diuidunt parallela latera EK FI GH, ſed & trianguli etiam
GBH centrum grauitatis eſt in BN. quippè cùm BN ipſam
GH bifariam diuidat. perſpicuum eſt totius rectilineæ figuræ
AEFGBHIKC centrum grauitatis eſſe in linea BD. quod de
monſtrare oportebat.
linea figura AEFGBHIKC. portionis verò diameter ſit BD. oſten-
dendum eſt, rectilineæ figuræ centrum grauitatiseſſe in linea BD. ium
gantur GH FI EK. quę ipſi AC, & inter ſe ęquidiſtantes
erunt. hę verò lineæ diametrum BD ſecent in punctis NML
Quoniam enim lineæ GH FI EK bifariam ſunt à diame
tro BD diuiſæ in punctis NML, trapezium AEKC duas
habebit line as æquidiſtantes AC EK, quas bifariam diuidit
DL, quare trapezii AEKC centrum grauitatis est in LD. at ob
eandem cauſam trapezii EFIK centrum est in ML; trapezii verò
FGHI centrum est in MN. lineæ enim LM MN bifariam
diuidunt parallela latera EK FI GH, ſed & trianguli etiam
GBH centrum grauitatis eſt in BN. quippè cùm BN ipſam
GH bifariam diuidat. perſpicuum eſt totius rectilineæ figuræ
AEFGBHIKC centrum grauitatis eſſe in linea BD. quod de
monſtrare oportebat.
zoom in
zoom out
zoom area
full page
page width
set mark
remove mark
get reference
digilib