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" BAC shall be a right angle; and the angle in the segment ABC, which is greater than a semicircle, shall be less than a right angle ; and the angle in the segment ADC, which is less than a semicircle, shall be greater than a right angle. Join AE, and produce... "
Designing Valve Gearing - Σελίδα 2
των Edward J. Cowling Welch - 1875 - 283 σελίδες
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 σελίδες
...segments ABC, ADC, and join BA, AD, DC : the angle in the semicircle BAC shall be a right angle; and the angle in the segment ABC, which is greater than...greater than a right angle. Join AE, and produce BA to F : and because BE is equal f. to EA, the angle EAB is equal* to EBA; also, t tsDef.1. .'* 1 * t 2 Ax....

Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 210 σελίδες
...B YC is a right angle; the angle in the segment ABC, which is greater than a semicircle, is acute; and the angle in the segment ADC, which is less than a semicircle, is obtuse. Join AE, and produce BA to F. Because BE is equal to EA, the angle EAB is equal to EBA;...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 σελίδες
...segments ABC, ADC, and join BA, AD, DC : the angle in the semicircle BAC, shall be a right angle ; and the angle in the segment ABC, which is greater than...greater than a right angle. Join AE, and produce BA to F : and bet 15 Def. 1. cause BE is equal f to EA, the angle EAB is •5.1. equal * to EBA ; also, because...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 σελίδες
...segments ABC, ADC, and join BA, AD, DC : the angle in the semicircle BAC shall be a right angle ; and the angle in the segment ABC, which is greater than...than a right angle. Join AE, and produce BA to F: and because BE is equalf to EA, the angle EAB is equal* to EBA ; ''«Dif' also, because AE is equal...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 σελίδες
...the segments ABC, ADC, and join BA, AD, DC; the angle in the semicircle BAC shall be a right angle; the angle in the segment ABC, which is greater than...than a right angle. Join AE, and produce BA to F; and because EB * 5. 1. is equal to EA, the angle EAB is equal* to EBA; also, because EA is equal to...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 σελίδες
...segments ABC, ADC, and join BA, AD, DC. Then the angle in the semicircle BAC shall be a right angle; and the angle in the segment ABC, which is greater than...than a right angle. Join AE, and produce BA to F. And because BE is equal to EA, (i. def. 15.) the angle EAB is equal to EBA ; (i. 5.) also, because...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 σελίδες
...segments ABC, ADC. Join BA,AD,DC. Then the angle in the semicircle BA C shall be a right angle ; and the angle in the segment ABC, which is greater than...than a right angle. Join AE, and produce BA to F. First, because EB is equal to EA, (l. def. 15.) the angle EAB is equal to EBA ; fl. 5.) also, because...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 σελίδες
...segments ABC, ADC, and join BA, AD, DC. Then the angle in the semicircle BAG snall be a right angle; and the angle In the segment ABC, which Is greater than...a semicircle, shall be greater than a right angle. CONSTRUCTION Join AE, and produce BA to F. DEMONSTRATION Because BE is equal to EA, (i. def. 15) the...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...segments ABC, ADC. Join BA, AD, DC. Then the angle in the semicircle BAC shall be a right angle; and the angle in the segment ABC, which is greater than...than a right angle. Join AE, and produce BA to F. First, because EB is equal to EA, (l. def. 15.) the angle EAB is equal to EBA ; (l. 5.) also, because...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 σελίδες
...segments ABC, ADC. Join BA, AD, DC. Then the angle in the semicircle BA C shall be a right angle ; and the angle in the segment ABC, which is greater than...than a right angle. ' Join AE, and produce BA to F. First, because EB is equal to EA, (l. def. 15.) the angle EAB is equal to EBA ; (l. 5.) also, because...




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