Mr. T. S. Davies on Geometry and Geometers. 385 



lections was given by Dr. Hutton in the first edition of his 

 Dictionary (1796) ; and a somewhat more philosophical one by 

 Dr, Trail in the third supplement to his Life of Simson (1812). 

 The letter itself is sufficiently explicit as to the signification 

 of the references and construction of the list of readings. 

 Those which were crossed out are here dotted beneath, to 

 still guide the reader to the words which were originally noted ; 

 and the numbers referring to them are omitted from the margin. 

 Those words where the variations are retained have a line 

 beneath them in the original; but are here referred to by 

 numbers and letters in the usual manner. 



"MS. Sav. 3. The propositions are not numbered on from 

 the beginning of the book, but have a separate numbering for 

 each part of the 7th Book. — What is Prop. 127 of Com- 

 mandine stands thus in the manuscript: — 



Uopca/Mcircov a"" jS"" y""- 

 Tou irp&TOV eh to irpwTov Tropiafjua earo) Karaypacpr) d 



rj a^ySe^r) kul earco co? d^ 7r/>09 rrjv ^rj, ovToy<; tj dh irpo'i k^ 

 rrjv By, Kal i'ire^€U')(^d(o r} die on irapdWqko'i icrrtv rj Ok, 

 (N. the enunciation ends in this incomplete manner). 



" What Commandine has in p. 355 (Ed. 1660), * Per com- 

 positam vero proportionem, &c.' is marked /S in the margin of 

 MS., and Commandine's Prop. 128 begins thus: 



Et9 TO BevTepov iropia-fxa Karaypacprj ■^ a/3 yB e^ ijd y 

 ecTTG) Be 7rapd\\r]\o<; rj d^ rr{ d^ to? Be 17 de 7rpo<i rrjv e^ 

 01/70)9 97 yrj 77/309 T7]V K^. OTC €v0eid icrrtv rj Bid rwv 6k^. 



" Commandine's 164- begins thus : 



Efc9 TO 7ropL<Tfia d ^i^iov. 



©etret 6Vto9 irapaWrjXoypdfx/jbov tov dB dirb Bodevro^ d 

 rov e Biaypa^eLV rrjv e^ Kal iroietv icrov to ^yr) rpiymvov 

 rtp dB TrapaWrfXoypdfifico. 



" MS. 9. JJopia-fiarcav a J8 7. 



Tov Trpcorov Eo-to) Karaypat^ t] a^yBe^r) Kac earm 0)9 rj a^ 

 €49 TO a^^ 7rpo9 rrjv ^rj ovt(o<; tj dB 7rpo<; ttjv By Kai eTre- 

 TToptafMa. ^ev')(d(o t) 6k on =0* ecrnv rj 0k ttj ay. 



Et9 TO Bevrepov Tropia-fia Karaypacfyrj t) ayS yB 

 e^ earm Be =:°s i] d^ rr) B^. 0)9 Be rj ae 77/909 ttjv 

 e^ ovTco<i yrj irpo<i rrjv 77^ oTt evdeia eanv t] Bia 

 TCOV 6k^. 



Et9 TO TTOpUJ-fJLa TOV d ^ipXiov. 



@e<rec ovto<; =rpo»^ tov dB airo Bo6evTo<i rov e 

 Biayayeiv ttjv e^ Kai iroieiv icrov to ^yrj A"" rco 

 dB =ypw. 



