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" From this it is manifest that if one angle of a triangle be equal to the other two it is a right angle, because the angle adjacent to it is equal to the same two ; (i. "
The Elements of Euclid,: In which the Propositions are Demonstrated in a New ... - Page 19
by Euclid - 1776 - 264 pages
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...tchol. 3. 1.47 I. 47, cor. 8. . HYPOTHESES. If any three angles are the internal angles of a triangle. If one angle of a triangle be equal to the other two. If one angle of a triangle be a right angle. Idem If two angles of a triangle are equal. If in any...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...the segment less than a semicircle is greater than a right angle. Which was to be proved. COB. — If one angle of a triangle be equal to the other two : then it shall be a right angle. 'For let ABC be a triangle, one of the angles of which BAC is equal...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angle of the less segment is said to be less, than a right angle.' COn. From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two ; and whim the adjacent...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...of the less segment is said to be less, than a right angle." COK. — From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal (I, .32.) to the same two ; and when...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...is greater than a right angle. Therefore, in a circle, &c. QED Сon. From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle : because the angle adjacent to it is equal (I. 32) to the same two ; and when...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...in a circle the angle in a semicircle is a right angle ; &c. QED Con. From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle : because the angle adjacent to it is equal to the same two ; (I. 32.) and when...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...of the less segment is said to be less than a right angle.' Cor. — From this it is manifest that if one angle of a triangle be equal to the other two it is a right angle, because the angle adjacent to it is equal to the same two ; (i. 32) and when the...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...in a circle the angle in a semicircle is a right angle ; &c. QED COR. From this it is manliest, that if one angle of a triangle be equal to the other two, it is a right angle : because the angle adjacent to it is equal to the same two ; (l. 32.) and when...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...a circle the angle in a semicircle is a right angle, &c. QE u. CoR. From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle : because the angle adjacent to it is equal to the same two ; (i. 32.) and when...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...of the less segment is said to be less than a right angle.' Cor. — From this it is manifest that if one angle of a triangle be equal to the other two it is a right angle, because the angle adjacent to it is equal to the same two ; (i. 32) and when the...
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