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Books Books 1 - 10 of 39 on DBA ; and because AE, a side of the triangle DAE, is produced to B, the angle DEB....
" 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 65
by John Keill - 1723 - 364 pages
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Euclid's Elements of geometry: from the Latin translation of Commandine. To ...

John Keill - Trigonometry - 1733 - 397 pages
...Side AE of the Triangle DAE is produced, the Angle DEB will be f greater than the Angle D AE,t '6. x. but the Angle DAE is equal to the Angle DBE; therefore...fubtends the greater Angle. Wherefore DB is greater than DE. But DB only comes to the Circumference of the Circle; therefore DE does not reach fo far. And fo...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclides, David Gregory - Mathematics, Greek - 1765 - 464 pages
...AEB of the triangle DAE is produced, the angle DEB [by i6. i.] will be greater than the angle DAE. But the angle DAE is equal to the angle DBE: Therefore the angle DEB will be greater than the a\ angle D BE. But [by i8. i.] the greater fide is oppofite to the greater...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Geometry - 1772 - 399 pages
...Angle DEB is greater than the Angle DB E. But the greater Angle fubtends the greater 1 19. t. Side. Wherefore DB || is greater than' D E. But DB only...fo the Point E falls within the Circle. Therefore, if two* • • • t " Paints are affumed in the Circumference of a Circle, theRight Line joining...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 466 pages
...AE a fide of the triangle DAE is produced to B, the angle DEB is greater c 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 fide is oppofite J ; DB is therefore greater than DE. but DB is equal...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...ciiTIT. e * ' *• d i9. -i DAE, is produced to B, the angle DEB is greaterc than die angle DAE; but DAE is equal to the angle DBE ; therefore the angle DEB is greater than the angle DBE: But to the greater ancle the greater fide is oppofite d ; DB is therefore greater than DE : But DB is equal...
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The elements of Euclid: viz. the first six books, with the eleventh and ...

Alexander Ingram, Robert Simson - Trigonometry - 1799 - 351 pages
...AE, a fide of the triangle DAE, is produced to B, the angle DEB is greater c 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 fide is oppofite d; DB is therefore greater than DE : But DB is equal...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...a fide of the triangle DAE is produced to B, the angle DEB ' is greater c than the angle DAE ; bu<t DAE is equal to the angle DBE, therefore the angle DEB is greater than the angle DBE. but to the greater angle the greater fide is oppofite d ; DB is therefore greater than DE. but DB is equal...
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Elements of geometry: containing the first six books of Euclid, with a ...

John Playfair - Trigonometry - 1806 - 311 pages
...AE, a side of the triangle DAE, is produced to B, the angle DEB is greater0 than the angle DAE. But DAE is equal to the angle DBE ; therefore the angle DEB is greater than the angle DBE ; therefore DB is greater than DEd. But BD is equal to DF ; wherefore DF is greater <|han DE, and the...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...upon the circumference; it falls therefore within it. Wherefore, if any two points, &c. QED " 16- 1- to the angle DBE; therefore the angle DEB is greater than the angle DBE: But to the greater angle the greater side "l0Def. PROP. III. THEOR. IF a straight line drawn through the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - Geometry - 1816 - 528 pages
...DAE, is produced to B, the angle *"—T^ DEB is greater0 than the angle DAE; but DAE is equal C16-1. to the angle DBE ; therefore the angle DEB is greater than the angle DBE : But to the greater angle the greater side * 19. 1. is opposite1*; DB is therefore greater than DE : But...
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