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" THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Side 33
av John Playfair - 1819 - 333 sider
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...is the angle ABC greater than ACB. XTX. — The greater angle of every triangle is subtended bit fhe greater side, or has the greater side opposite to...than the side AB. For, if it be not greater, AC must A either be equal to AB or less than it ; it is not equal, because then the angle ABC would be equal...
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Pure mathematics, Volum 1

Edward Atkins - 1874
...GEOMETRY. Z1VABC > ^ BCAAC not = AB AC not < Make ^ = AC^ |CD> .-.DB>BC. Proposition 19. — Theorem. The greater angle of every triangle is subtended by the...angle ABC is greater than the angle BCA; The side AC shall be greater than the side AB. PROOF.— If AC be not greater than AB, it must either be equal...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...is greater than the angle ACB. Therefore the greater side, &c. QED PROPOSITION 19.— Theorem. The greater angle of every triangle is subtended by the...which the angle ABC is greater than the angle BCA. Then the side AC shall be greater than the side AB. A. For, if AC be not greater than AB, AC must either...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874
...producing the lea side AB to E, making AE equal to AC, and joining CE. PROPOSITION 19. THEOREM. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. i Let ABC be a triangle, of which the angle ABC ' • is greater than the angle ACB : the side AC is...
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Pure Mathematics, Volum 1

Edward Atkins - 1874
...every triangle is subtended by t/n greater side, or lias the greater side opposite to it. / 'ABC >• Let ABC be a triangle, of which the angle ABC is greater <• BCA- than the angle BCA; The side AC shall be greater than the side AB. PROOF. — If AC be not...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...ABC greater than the angle ACB. Therefore, the greater side, £e. QED Proposition 19.— Theorem. The greater angle of every triangle is subtended by the...greater side, or has the' greater side opposite to it. ^"A"IC >• Let ABC be a triangle, of which the angle ABC is greater * UCA. fkun t]10 angie BCA; The...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...every triangle it tuttended by the greater tide, of, has the greater side opposite to it. Let A. BC lie a triangle of which the angle ABC is greater than the angle BCA. Then the side AC shall be greater than the side AH. For, if A Che not greater than AB, AC must either...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...side, &c. QE D, AC > AB. / BCD, Mid / ADB = I ABD and . i ABD >i BCD. Proposition 19. — Theorem. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. ^'VAUC' -» Let ABC be a triangle, of which the angle ABC is greater - *CA' than the angle BCA; The...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...the angle AC B. Therefore, the greater side of every triangle, etc. QED Proposition XIX. Theorem. The greater angle of every triangle is subtended by the...triangle, of which the angle ABC is greater than the angle BC A. Then the side AC shall be greater than the side A B. For, if AC be not greater than AB, AC must...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...more is L ABC greater than L ACB. Therefore, the greater side, &c. QED PROPOSITION XIX. THEOREM. The greater angle of every triangle is subtended by the...has the greater side opposite to it. Let ABC be A of which Z. ABC is greater than Then AC is greater than AB. Dem. For if AC be not greater than AB,...
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