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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 first six books of the Elements of Euclid, with numerous exercises - Seite 15
von Euclides - 1853 - 147 Seiten
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 Seiten
...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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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 Seiten
...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 two...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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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 Seiten
...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 - 1880 - 346 Seiten
...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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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 Seiten
...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 Seiten
...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, Band 1,Ausgabe 1

1882 - 676 Seiten
...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, Bände 1-2

1882 - 486 Seiten
...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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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 Seiten
...parallelogram ABCD, bisect one another, and specify the propositions you employ. 5. If from the ends of a side of a triangle there be drawn two straight lines...the triangle, these shall be less than the other two tides of the triangle, but shall contain a greater angle. 6. Inscribe an equilateral and equiangular...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 Seiten
...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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