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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 ... - Seite 19
von Euclid - 1776 - 264 Seiten
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...a right angle. "Wherefore, the angle &c. QED COROLLARY. From the demonstration it is manifest that if one angle of a triangle be equal to the other two, it is a right angle. For the angle adjacent to it is equal to the same two angles ; . [I. 32. and when...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 Seiten
...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 Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 Seiten
...; and ABC is less than a right angle ; wherefore ADC is greater than a right angle. COROLLARY. — 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 when the adjacent...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 428 Seiten
...Prop. 32. Therefore, the angle, &c. Q.2.D. COROLLARY. — From this demonstration it is manifest that, if one angle of a triangle be equal to the other two, it is a right angle. For the angle adjacent to it is equal to the same two angles (I. 32). And, when...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 Seiten
...parallelogram having the same altitude and base equal to the sum of the parallel sides of the given figure. 75. If one angle of a triangle be equal to the other two together, the greatest side is double of the distance of its middle point from the opposite angle....
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 Seiten
...angle. Therefore, in a circle the angle in a semicircle, &c. QED 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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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 Seiten
...— In a right-angled triangle, the two acute angles tat en together are equal to a right angle; and if one angle of a triangle be equal to the other two, it is a right angle. Cor. 4. — If two angles of a triangle are given, or their Bum, the remaining...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 Seiten
...Prop. 82. Therefore, the angle, &c. QED COROLLARY. — From this demonstration it is manifest that, if one angle of a triangle be equal to the other two, it is a right angle. For the angle adjacent to it is equal to the samo two angles (I. 32). And, when...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...a circle the angle in a semicircle is a right angle ; &c. UF.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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 Seiten
...Wherefore, the angle &c. QED EUCLID'S ELEMENTS. COROLLARY. From the demonstration it is manifest that if one angle of a triangle be equal to the other two, it is a right angle. For the angle adjacent to it is equal to the same two angles ; [I. 32. and when...
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