510490GEOMETRIÆ
341[Figure 341]
+
Sint in æqualibus rectis lineis, QP, TY, tamquam in baſibus,
& in eiſdem parallelis, AL, QY, quæcunq; planæ figuræ CQPD,
HTYL, æqualiter analogæ iuxta dictas baſes, QP, ΓΥ, ductis au-
tem quotcunq; baſibus parallelis, vt, ΛΧ, ΓV, βΚ, earum in figu-
ris conceptæ portiones integræ ſint, ac in altera figurarum pro-
pinquior baſi maior remotiori, vt ſi conceptæ in, CQPD, ſint, N
℟, I& , EZ, & in, HTYL, ipſæ, SX, RV, OK, iſtæ quidem integræ
ſint necnon ex. g. in figura, CQPD, N℟, maior, I& ; I& , maior,
EZ, & ſic in cæteris (erit enim etiam, SX, maior, RV, & , RV, ma-
ior, OK, & ſic in cæteris, cum ſint æqualiter analogæ iuxta ba-
ſes, QP, TY.) Dico figuras, CQPD, HTYL, inter ſe æquales eſ-
ſe. Si enim non ſint æquales, altera earum maior erit, ſit maior,
HTYL, ipſa, CQPD, ſpatio, +, tunc minoris figuræ baſis, QP,
11Poſt. 1.
l. 2. moueatur verſus, AD, ſemper ipſi, AD, æquidiſtanter, ac manẽ-
te iugiter puncto, P, in linea, PD, donec congruat ipſi, AD, igitur
punctum, Q, deſcribet lineam, QΓΑ, & , QP, deſcribet parallelo-
grammum, AP, rectilineum, ſeu curuilineum, prout, AQ, DP,
fuerint rectæ, vel curuæ, erit autem, CΓΑ, tota extra figuram, CQ
PD, cum parallelæ, QP, in figura, CQPD, ipſi, QP, propinquio-
res remotioribus ſint ſemper maiores (quo pacto data baſi, & cur-
ua linea, tota in eodem plano cum ipſa baſi, ac vni extremorum
eiuſdem conterminante, parallelogrammum curuilineum, ab ij@dẽ
apprehenium, deſcribere docemur) ſimiliter compleatur paralle-
logrammum, FY, ducaturquæ, ΓV, parallela, QY, b fariam diui-
dens altitud nem figurari m, CQPD, HTYL, reſpectu, QY, aſſum-
ptam, ſecanſque, AQ, in, Γ, CQ, in, I, DP, in, & , FT, in, Π, HT,
in, R, & , LY, in, V, per, ΓV, igitur diuidetur
& in eiſdem parallelis, AL, QY, quæcunq; planæ figuræ CQPD,
HTYL, æqualiter analogæ iuxta dictas baſes, QP, ΓΥ, ductis au-
tem quotcunq; baſibus parallelis, vt, ΛΧ, ΓV, βΚ, earum in figu-
ris conceptæ portiones integræ ſint, ac in altera figurarum pro-
pinquior baſi maior remotiori, vt ſi conceptæ in, CQPD, ſint, N
℟, I& , EZ, & in, HTYL, ipſæ, SX, RV, OK, iſtæ quidem integræ
ſint necnon ex. g. in figura, CQPD, N℟, maior, I& ; I& , maior,
EZ, & ſic in cæteris (erit enim etiam, SX, maior, RV, & , RV, ma-
ior, OK, & ſic in cæteris, cum ſint æqualiter analogæ iuxta ba-
ſes, QP, TY.) Dico figuras, CQPD, HTYL, inter ſe æquales eſ-
ſe. Si enim non ſint æquales, altera earum maior erit, ſit maior,
HTYL, ipſa, CQPD, ſpatio, +, tunc minoris figuræ baſis, QP,
11Poſt. 1.
l. 2. moueatur verſus, AD, ſemper ipſi, AD, æquidiſtanter, ac manẽ-
te iugiter puncto, P, in linea, PD, donec congruat ipſi, AD, igitur
punctum, Q, deſcribet lineam, QΓΑ, & , QP, deſcribet parallelo-
grammum, AP, rectilineum, ſeu curuilineum, prout, AQ, DP,
fuerint rectæ, vel curuæ, erit autem, CΓΑ, tota extra figuram, CQ
PD, cum parallelæ, QP, in figura, CQPD, ipſi, QP, propinquio-
res remotioribus ſint ſemper maiores (quo pacto data baſi, & cur-
ua linea, tota in eodem plano cum ipſa baſi, ac vni extremorum
eiuſdem conterminante, parallelogrammum curuilineum, ab ij@dẽ
apprehenium, deſcribere docemur) ſimiliter compleatur paralle-
logrammum, FY, ducaturquæ, ΓV, parallela, QY, b fariam diui-
dens altitud nem figurari m, CQPD, HTYL, reſpectu, QY, aſſum-
ptam, ſecanſque, AQ, in, Γ, CQ, in, I, DP, in, & , FT, in, Π, HT,
in, R, & , LY, in, V, per, ΓV, igitur diuidetur