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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. "
Euclid, book i., propositions i. to xxvi., with exercises and alternative ... - Pàgina 36
per Euclides - 1877
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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...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...
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Elementary geometry

James Maurice Wilson - 1878
...difference of any two sides of a triangle is less than the third side. THEOREM 13. If from the ends of the side of a triangle two straight lines be drawn to...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,...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...the 4th Proposition. 2. 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...sides of the triangle but shall contain a greater angle. Write out the enunciations of any previous propositions employed in this proof. 3. Straight...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...Proposition XXI. Theorem. 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...sides 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...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...PROPOSITION XXI. THEOREM. 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...sides 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...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 pàgines
...of feet ? 21. Prove that 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...sides 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...
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Papers for teachers

1880
...to this proposition. 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...sides of the triangle, but shall contain a greater angle. What is the construction in this proposition? THIRD (OR FOURTH) YEAR. Arithmetic. — MALES....
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...revolves. EUCLID. 1. Prove that 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...sides of the triangle, but shall contain a greater angle. Is it necessary for the truth of this proposition that both lines shall be drawn from the extremities...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...given point without it. 3. 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...sides of the triangle, but shall contain a greater angle. 4. Parallelograms upon the same base, and between the same parallels are equal to one another....
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880
...16. General Enunciation. 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...sides of the triangle, but shall contain a greater angle. TJieorem (Euclid I. 21). The same, in tabular form — GIVEN. REQUIRED. (a) A triangle (V) Two...
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