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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... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 16
by Euclides - 1814
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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...of the triangle, but shall contain a greater angle. What is the construction in this proposition? THIRD (OR FOURTH) YEAR. Arithmetic. — MALES. — i....
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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 AC, and BC, CA 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...less than the other two sides of the triangle, but thall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the side...
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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...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 - 248 pages
...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 drawn two 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 sides and...
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Report on Foreign Systems of Naval Education

James Russell Soley - Naval education - 1880 - 346 pages
...how many parts is it possible, by means of Euclid's constructions, to divide a. right angle ? 2. If from the ends of the side of a triangle there be drawn two straight lines to n. point within the triangle, these straight lines shall be less than the other two sides of the triangle....
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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...shortest ; shew that 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...of the triangle, but shall contain a greater angle. 6. If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite...
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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...of the triangle, but shall contain a greater angle. MAY, 1880. (Three hours and a half allowed.) ARITHMETIC. Males. 1. What is the simple interest and...
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Guide to preliminary army examination

John Gibson - 1881 - 302 pages
...straight lines be drawn to a point K within the triangle, these two straight lines shall be together less than the other two sides of the triangle, but shall contain a greater angle. 3. If two triangles have two angles of the one equal to two angles of the other, each to each, and...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 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...of the triangle, but shall contain a greater angle. What is the construction in this proposition ? Music. A quarter of an hour allowed for this paper....
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The Competitor, Volumes 1-2

1882 - 480 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...of the triangle, but shall contain a greater angle. 4. To divide a straight line into two parts, so that the rectangle contained by the whole and one of...
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