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" THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA : the side AC is likewise greater than the side AB. For, if it be... "
Elements of Geometry;: Containing the First Six Books of Euclid, with a ... - Page 22
by John Playfair, Euclid - 1804 - 440 pages
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...every triangle is subtended by the greater side, or, has the greater side opposite to it. Let AB C be a triangle of which the angle ABC is greater than the angle BCA. Then the side AC shall be greater than-the side AB. For, if AC be not greater than AB, AC must either...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...greater angle of every triangle is subtended by (he greater side, or has the greater side opposite to it. Let ABC be a triangle of which the angle ABC is greater than the angle BCA. Then the aide AC shall be greater than the side AB. For, if AC be not greater than AB, AC must either...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...greater than the side which is opposite to the less. (References— Prop. I. 5, 18.) Let ABC be any triangle, of 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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 350 pages
...greater angle of every triangle is subtended by the greater side, or ha* the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than th« angle BCA ; the side AC is likewise greater than the side AB. For, if it be not greater, AC must...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle ACB : the side AC is also greater than the side AB. For if not, AC must be either equal to AB or less...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...greater angle of every triangle is subtended by the greater side, or Itat the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle ACB : the side AC is also greater than the side All. For if not, AC must be either equal to AB or less...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...greater angle of every triangle is subtended by the greater tide, or, has the greater side opposite to it. Let ABC be a triangle of which the angle ABC is greater than the angle BCA. Then the side AC shall be greater than the side AB. For, if AC be not greater than AB, AC must either...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...greater angle of every triangle is subtended bit fhe greater side, or has the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA ; the side AC is likewise greater than the side AB. For, if it be not greater, AC must A either be equal...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. Let ABC be a triangle, of which 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...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...greater angle of every triangle is subtended by the greater side, or, has the greater side opposite to it. Let ABC be a triangle of 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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