?6-. CHRIST, H U G E N I ISu jam AM^ a ; Quia ergo aequales Anguli K H E 8c C H Z,\vfR— l ^ ve EHGj estque EHA angulus re-— b \ctus i erit ut KE ad EG, ita KA adAL“ r AG. Quia verö BM ad MK, utHFad FK, eric,

uc BM-+HF ad H F, ita M F ad FK,

LC= n

Radius AD- ^AF- xFH ~ y

i. e. b -+ y \y\:a — x: add. FAm /v

J J b~by

c rr * ay-bbx

sitKA — - -

b-by

Rürsus, quia C L ad L G , ut H F ad F G, erit permutan-do & dividendo CL — HF ad HF, utLF adFG,

n — y :y :: c — x : , quä ablatä. ab A F — x , fit

n—y ^

GA- —— c -2 • Est autem EA — quia Froportiona-n — y x

les FA,AH> AE-.Ergo E A — G A,hoc est,EG,— —^ —

x

nx-bcy r ,r , - . , rtT rn ay-bbx dd-

-- i Et K A — E A, hoc est, KE~ 4—-

n —y b ~by x

Sed diximus, quod K E ad EG, ut KA ad AG; i. e.

ay “+ b x dd dd nx -+ cy ay-bbx ^nx — cy

b-by xx n —y '' b -by n —y

Unde invenitur

2 . a n x x y-b zbn x^—d dbii x—ddnxyzl b~n a ddy-bb ddx—zacxyy —z bcxxy-bddb cy -+d d cyy — a ddy y—bddxy

Est: autem

zbbe zbbcddx zbbcyyx

a

a

a

jquia xx~ dd—yy.

. ^bc —zbbcxyy ddbcyx

Et quia n — ~ jCrgo - —dLJ —- dL.

a a a

*b-ddcyy~—addyy~ bddxy:

• zacxyy

Et