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" If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Side 23
av John Playfair - 1837 - 318 sider
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 sider
...two angles of a triangle are together less than two right angles. .. . If from the ends of one side of a triangle, there be drawn two straight lines to...triangle, these two lines shall be less than the other sides of the triangle, but shall contain a greater angle. . . . . 48 * It will be seen that some propositions...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 sider
...greater than AB. Therefore any two sides, &c. QED PROPOSITION XXL THEOREM. If from the ends of a tide of a triangle, there be drawn two straight lines to a point within the triangle ; these shall be less than the other two tides of the triangle, but shall contain a greater angle. Let ABC...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 382 sider
...joining the vertex and the point of bisection. PROPOSITION XXI. THEOREM. If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle ; these will be together less than the other sides of the triangle, but will contain a greater angle. Let ABC...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 sider
...sides of every quadrilateral rectangular figure are parallel to each other. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall contain an angle greater than that contained by the other two sides of the triangle. 4. Define...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 sider
...are either two right angles, or are together equal to two right angles. 2. If from the ends of a side of a triangle, there be drawn two straight lines to a point within the triangle ; these shall be less than the other two sides of the triangle, but shall contain a greater angle. 3. A line...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 sider
...of a triangle there be drawn lico straight lines to a point within the tnangle, these shall be lass than the. other two sides of the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends cf the side BC, let the two straight lines BD,...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 sider
...of the side of a triangle tliere be drawn ttco straight lines to a point wtthin the triangle, these shall be less than the other two sides of the tria-ngle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the side BC, let the two straight lines BD,...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 sider
...the ends of a side of a triangle two straight lines be drawn to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater ang'e. Let ABC be a triangle, and from B and C let straight Hues BD, CD be drawn to D a point within...
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Elementary Geometry ...

James Maurice Wilson - 1878 - 450 sider
...the ends of the side of a triangle two straight lines be drawn to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. Part. En. Let ACB be a triangle, and from the ends of the side AB let two straight lines AP, BP be...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

1878 - 228 sider
...cent GEOMETRY. AS BUTLER, Esq. Tuesday, 22nd June 1880. 10 AM to 1 PM 1. If from the ends of the sides of a triangle there be drawn two straight lines to a point within it, these shall be together less than the other two sides of the triangle, but shall contain a greater...
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