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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. "
Senate Documents, Otherwise Publ. as Public Documents and Executive ... - Side 296
av United States. Congress. Senate - 1880
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Pure Mathematics, Volum 1

Edward Atkins - 1874
...greater than AB. Therefore any two sides, &c. QED Proposition 21. — Theorem. If from the ends of t/ie side of a triangle there be drawn two straight lines to a point within the triangle, these shall be las titan the other two sides of the triangle, but shall contain a greater angle. Let ABC...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 349 sider
...former, which is impossible. Hence it follows that PROPOSITION XVII. If from the ends of one of the sides 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. '~D a -#...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...straight line, a plane rectilineal angle, a right angle, a Gnomon. Enunciate Euclid's Postulates. 2. If from the ends of the side of a triangle there be...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. C . If two...
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Examination Christmas,1875

Education Department,London - 1876
...equal to one another. Show that the segments of BG, CF, in Euclid's figure, are equal, each to each. 3. If from the ends of the side of a triangle there be...straight lines to a point within the triangle, these shall be together less than the other two sides of the triangle, but shall contain a greater angle....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 349 sider
...more than double of the line joining the vertex and the point of bisection. PROPOSITION XXI. THEOREM. If, from the ends of the side of a triangle, there...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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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...Any 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 , a point within the triangle, these two lines shall be less than the other sides of the triangle, but shall contain a greater angle. ....
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major
...angles, shall be equal. Why is no construction required in this theorem ? 3. 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. PUPIL TEACHERS...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...than AC ; and BC, CA greater than AB. Therefore any two sides, &e. QED Proposition 21. — Theorem. Jf 'from the ends of the side 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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878
...double of the line joining the vertex and the point of bisection, s. E. 8 PROPOSITION XXI. THEOREM. //, from, the ends of the side of a triangle, there be...straight lines to a point within the triangle ; these will be together less than the other sicfcs of the triangle, but will contain a greater angle. Let...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

1878
...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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