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" Any two angles of a triangle are together less than two right angles, Let ABC be any triangle ; any two of its angles together are less than two right angles. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 21
by John Playfair - 1845 - 317 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...therefore if one fide, &c. Q^ED PROP. xvii. THE OR. ANY ttfo angles of a triangle are together lefs than two right angles. Let ABC be any triangle; any two of its angles together are lefs than two right angles. Produce BC to D; and becaufe ACD is the exterior angle of the triangle...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...exterior angle of the triangle ABC, .ACD is greater" than the interior and ppppfite angle ABC; to each of Let ABC be any triangle; any two of its angles together are lefs than two right angles. D thefe gEther equal b to two right angles; therefore the angles ABC b...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...Therefore, if one fide, &c. Q^ ED A PROP. XVII. THEO R. NY two angles of a triangle arc together lefs than two right angles. Let ABC be any triangle ; any two of its angles together are lefs than two right angles. Produce BC to D ; and becaufe ACD is the exterior angle of the triangle...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...fide, &c. Q^ED a i6. i. b i3. i. A PROP. XVII. THEOR. NY two angles of a triangle are together lefs than two right angles. Let ABC be any triangle ; any two of its angles together are lefs than two right angles. Produce BC to D ; and becaufe ACD is the exterior angle of the triangle...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...therefore if one fide, &c'. Q^ ED A PROP. XVII. THEOR. NY two angles of a triangle are together lefs than two right angles. Let ABC be any triangle ; any two of its angles together are lefs than two tight angles. Produce BC to D; and be. caufe ACD is the exterior angle of the triangle...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...angle BCG, that is d , the angle ACD, is greater than the angle ABC. Therefore, if one side, &c. QED PROP. XVII. THEOR. ANY two angles of a triangle are...less than two right angles. Let ABC be any triangle 5 any two of its angles together are less than two right angles. Produce BC to D; and because ACD is...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...vertical angle BCF (Def. 10.), and hence BCF must be greater than either the angle CBA-or CAB, PROP. XI. THEOR. Any two angles of a triangle are together less than two right angles. The two angles BAC and BCA of the triangle ABC are together less than two right angles. For produce...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1899 - 756 pages
...Grade A.) Tuesday, July 10th; 9 am to 11:30 am Total marks, 200. 1. Enunciate I. 12; I. 19; I. 39. 2. Any two angles of a triangle are together less than two right angles. 3. If a straight line, falling upon two other straight lines, make the alternate angles equal to one...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...angle BCG, that is d, the angle ACD, is greater than the angle ABC. There. fore, if one side, &c. QED PROP. XVII. THEOR. ANY two angles of a triangle are together less thau two right angles. Let ABC be any triangle; any A two of its angles together are less than two...
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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - Geometry, Plane - 1817 - 450 pages
...of a triangle are greater than the interior, and likewise greater than three right angles. PROP. IX. THEOR. • Any two angles of a triangle are together less than two right angles. The two angles BAC and BCA of the triangle ABC are together less than two right angles. For produce...
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