66 



iNDEX FIGURA.E PRO PRIE T ATUM. 



1,1. 



Coroll. 

 Theor. 



Coroll. 

 Theor. 

 Coroll. 



LIII.SFig. 10. 



QR X RS X SQ : BQ X CR X AS = 4Ä : r, 



QR X RS X SQ : AQ X BR X CS = 4Rr -. 1. 



QR X RS X SQ : PQ X PR X PS = / : r=. 



n : I = 2 R : r. 



a : 1= I : A". 



n t A"= iR' : r> = 400 : ©P. 



Puncta'L, M , N in una eademque sint recla necesseest. 



«T ^c _,, ac „,. ab .^, bc 



AL = 7, BL= r, CM = , AM =- — -, 



a — b a — 6 a — c a — c 



BN =7^^^, CN: 

 b — c 



ab 



b—c 



(6) 



AMxBLxCN=:ALxBNxCM=AB=xAC^xBC^:D"WxF"VxE"U. 



CL = ?-^^^, BM = ?^^i^^ , AN = ^i^. 

 {a—b) aß {a—c)a'y [b — c)ßy 



CQ _ 2i CR 



LIV. Fig. 10 et 1. 



Theor. LV. 



LM : OP = 4/ : D"W X F"V. 

 LM 



etc. 



4/t/(/Z° — 2Rr ) _ 47t/ (ig' — 2/?r) 



(n — 6) (a — c) ' (a — 6j {a — c) ' 



MN = Wi^ln^ÄT)^ 



(a — c) (6 — -c) i'i' 



Rectae BL, QL, CM, QM , CN,RN cunctae harmonice 

 dwisae sunt. 



F I N I S. 



■ V 



.<-\ : '.Ai^ =; 



N-» *^ .--^ 



.0-ioD 



; 1A 







