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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. Let... "
Guide to the three services: civil, naval, and military - Pagina 108
geredigeerd door - 1860
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Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - 1876
...joining the vertex and the point of bisection, s. E. 3 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 mil. 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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 pagina’s
...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...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877
...angle. ri PROPOSITION XXI. THEOREM. // from the ends of a side of a triangle two straight lines be drawn to a point within the triangle, these shall be less...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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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...Theorem. Jf from tJie ends 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...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...
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Elementary geometry

James Maurice Wilson - 1878
...the third side. THEOREM 13. If from the ends of the side of a triangle two straight lines be drawn to a point within the triangle, these shall be less...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
...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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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 pagina’s
...feet long can be formed so that the third side shall contain a whole number of feet ? 21. Prove that if from the ends of a side of a triangle there be...of the triangle, but shall contain a greater angle. Same proposition. Is this a problem or theorem ? Why ? 22. Show how to make a triangle of which the...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...can be formed so that the third side shall contain a whole number of feet ? PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be...of the triangle, but shall contain a greater angle. Let ABC be A, and from the pts. B, C, the ends of the side BC, let the two st. lines BD, CD be drawn...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...CA are greater than A B. Therefore any two sides of a triangle, etc. QED Proposition XXI. Theorem. If from the ends of a side of a triangle there be...of the triangle, 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...
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