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" 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. "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Page 22
by Euclides - 1853
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...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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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 pages
...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 - 72 pages
...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...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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Elementary Geometry ...

James Maurice Wilson - 1878 - 450 pages
...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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - 398 pages
...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 ...

Civil service - 1878 - 228 pages
...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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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 23

Great Britain. Civil Service Commission - 1879 - 620 pages
...of the same number n to the bases a and b. EUCLID (BOOKS I.-IV. AND VI.). Time allowed, 3 hours. 1. If from the ends of the side of a triangle there be...of the triangle, but shall contain a greater angle. 2. Triangles upon equal bases and between the same parallels are equal INDIA KORIRI to one another....
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 pages
...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 drawn two straight lines...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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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...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 drawn two straight lines...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 to...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...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 drawn two straight lines...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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