Full text: Euclides elementa (Vol. 3)

APPENDIX. 
397 
16. 
Ad libr. X prop. 36. 
Uocauit autem eam ex duobus nominibus, quia ex 
duabus rationalibus composita est, proprie rationale, 
quatenus rationale est, nomen uocans. 
17. 
Ad libr. X prop. 37. 
Uocauit autem eam ex duabus mediis primam, 
quia spatium rationale comprehendunt, et rationale 
principatum habet. 
18. 
Ad libr. X prop. 38. 
Uocauit autem eam ex duabus mediis secundam, 
quia medium comprehendunt rectangulum, et medium 
rationali postponitur. 
Spatium autem rectis rationali et irrationali com 
prehensum irrationale esse, adparet. nam si rationale 
est et rectae rationali adplicatum est, etiam alterum 
eius latus rationale est [prop. XX]. at idem irratio 
nale est; quod absurdum est. ergo spatium rectis 
rationali et irrationali comprehensum irrationale est. 
19. 
Ad libr. X prop. 39. 
Uocauit autem eam maiorem, quia rationalia 
AB 2 -{- BF 2 maiora sunt medio 2ABXBF, et 
rsQsvsiv F. 6. iyidXsGsv PBF. ro] to to FY. 8. 
(prius) ora. Y. 9. sgzl BV, comp. Fb. 11. nIbvqu ccvzov F. 
13. skccXsgsv PBF. 15. (isgcov PBFb.
	        
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