 | John Playfair - Euclid's Elements - 1842 - 332 pages
...triangle DAE, is produced to B, the angle DEB is greater (16. 1.) than the angle DAE ; but DAE is. F equal to the angle DBE ; therefore the angle DEB is greater than the angle DBE : Now to the greater angle the greater side is opposite (19. 1.) ; DB is therefore greater than DE... | |
 | Euclides - 1845 - 546 pages
...produced to D, therefore the exterior angle DEB is greater than the interior and opposite angle DAE ; but the angle DAE is equal to the angle DBE, therefore the angle DEB is greater than the angle DBE. And in every triangle the greater side is subtended by the greater angle; therefore the side DB is... | |
 | Euclid - Geometry - 1845 - 218 pages
...the angle DEB is greater || than the angle DAE : II ie. i. 58 I 10 Def. 1, II is Def. i. § 5. i. But DAE is equal to the angle DBE ; therefore the angle DEB is greater than the angle DBE : But to the greater angle the greater side is opposite § ; DB is therefore greater than DE : But DB is... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...side of the triangle DAE, is produced to B, the angle DEB is greater (16. 1.) than the angle DAE ; but DAE is equal to the angle DBE ; therefore the angle DEB is greater than the angle DBE : Now to the greater angle the greater side is opposite (19. 1.) ; DB is therefore greater than DE... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...side of the triangle DAK, is produced to B, the angle DEB is greater (i. 16.) than the angle DAE; but DAE is equal to the angle DBE ; therefore the angle DEB is greater than the angle DBE; but to the * NB — Whenever the expression " straight lines from the centre," or " drawn from the centre,"... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...side of the triangle DAE, is produced to B, the angle DEB is greater (16. i.) than the angle DAE ; But DAE is equal to the angle DBE ; therefore * *~ • the angle DEB is greater than the angle DBE : But to the greater angle the greater side is opposite (19. i.), DB is therefore greater than DE : But DB... | |
 | Euclides - Geometry - 1853 - 176 pages
...side of the triangle dae, is produced to b, the angle deb is greater (i. 16) than the angle dae , but dae is equal to the angle dbe ; therefore the angle deb is greater than the angle dbe : but to the greater angle the greater side is opposite (i. 19); db is therefore greater than de : but db... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...to B, therefore the exterior angle DEB is greater than the interior and opposite angle DAE; (i. 16.) but the angle DAE is equal to the angle DBE, therefore the angle DEB is greater than the angle DBE. And in every triangle, the greater side is subtended by the greater angle ; therefore the side DB is... | |
 | Euclides - 1860 - 288 pages
...side of the triangle DAE, is produced to B, the angle DEB is greater than the angle DAE (I. 16); but DAE is equal to the angle DBE ; therefore the angle DEB is greater than the angle DBE ; DB is therefore greater than DE (I. 19). But DB is equal to DF; wherefore DF is greater than DE,... | |
 | Euclides - 1864 - 262 pages
...to B, therefore the exterior angle DEB is greater than the interior and opposite angle DAE; (i. 16.) but the angle DAE is equal to the angle DBE, therefore the angle DEB is greater than the angle DBE. And in every triangle, the greater side is subtended by the greater angle ; therefore the side DB is... | |
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DBA ; and because AE, a side of the triangle DAE, is produced to B, the angle DEB is greater (16. 
