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" DBA ; and because AE, a side of the triangle DAE, is produced to B, the angle DEB is greater (16. "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Page 63
by John Keill - 1723 - 364 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...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...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...angle DEB will be greaterb than the angle DAE ; but the angle DAE is equal to the angle DBE; wherefore the angle DEB is greater than the angle DBE. But the greater side is subtended by the greater angle ; wherefore also DF, which is taken equal to DB, is greater than...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...the side AE of the trianthan the angle DAE ; but the angle DAE is equal to the angle DBE ; wherefore the angle DEB is greater than the angle DBE. But the greater side is subtended by the greater angle; wherefore also DF, wnich is taken equal to DB, is greater than DE....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...produced to B, the exterior angle DEB is greater* than the angle DAE: but DAE was proved • 16. 1. 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, therefore DB is greater * 19. 1. thanDE: but DB...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...is produced to B, the exterior angle DEB is greater* than the angle DAE: but * 16.1. DAE was proved 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, therefore DB is greater than * 19. 1. DE : but...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...side of the triangle DAE, is produced to B, the angle DEB is greater than the angle DAE (1. 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,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...the triangle DAE, is produced to B, the angle DEB is greater (16. 1.) than E B 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. 1.); DB is therefore greater than DE : but DB...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...is produced to B, the exterior angle DEB ti6. I. is greaterf than the angle DAE; but DAE was proved equal to the angle DBE ; therefore the angle DEB is greater than the angle DBE ; but *IK. 1. to the greater angle the greater side is* opposite; therefore DB is greater than DE: but DB...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...triangle DAE, is produced to B, the angle * 16. 1. DEB is greater* than the angle DAE; but DAE was proved equal to the angle DBE: therefore the angle DEB is greater than the angle DBE; but the greater * 19. 1. angle is subtended by the greater side ;* therefore DB is fall upon the circumference; therefore...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 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 : but to the greater angle the greater side is opposite (19. 1.); DB is therefore greater than DE. Now DB...
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