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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 ... - Page 30
by Euclid, John Playfair - 1826 - 320 pages
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...greater than AB. Wherefore, any two sides &c. QED PROPOSITION 21. THEOREM. 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 thall contain a greater angle. Let ABC...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...Repeat. — The enunciations of Euc. I. 20, and I. 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 than the other two sides of the triangle, but shall contain a greater angle. TJieorem...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...centre of the hexagon from the axis about which it 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 than the other two sides of the triangle, but shall contain a greater angle. Is it necessary...
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Papers for teachers

1880 - 594 pages
...one another. What is a corollary? Give the corollary 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 than the other two sides of the triangle, but shall contain a greater angle. What is...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...angles, shall be equal. Why is no construction required in this theorem 1 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. MAY, 1880....
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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...angle ABC is greater than angle ADC, and angle BCD greater than angle BAD. 5. 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. 6. If a...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...lines drawn from the same points to any other point in the given straight line. PROP. XXI. THEOREM. am the ends of one side of a triangle, there be drawn two stratght lmes to a point within the triangle, these together shall be leu than the ktr two sides of...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 pages
...equal angles shall be equal to one another. What proposition in Euclid is the converse of this ? 2. If from the ends of one side of a triangle there be...straight lines to a point within the triangle, these shall be together less than the other two sides, but shall contain a greater angle. 3. The opposite...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...to the greater side shall be greater than the angle opposite to the less. 4. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these straight lines shall be together less than the other two sides of the triangle, but shall contain a...
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The Competitor, Volumes 1-2

1882 - 486 pages
...2. The angles at the base of an isosceles triangle are equal to each other. 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. 4. To divide...
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