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" Therefore any two sides, &c. QED PROP. XXI. THEOR. 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... "
Skeleton propositions &c. of Euclid, books i and ii, with references, by H ... - Pagina xx
door Euclides - 1868
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Papers for teachers

1880 - 594 pagina’s
...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 the construction in this proposition? THIRD (OR FOURTH) YEAR. Arithmetic. — MALES. — i....
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pagina’s
...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 for the truth of this proposition that both lines shall be drawn from the extremities...
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Report on Foreign Systems of Naval Education

James Russell Soley - 1880 - 346 pagina’s
...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. A triangle and a quadrilateral, having no re-entrant angles, stand on the same base and on the same...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 pagina’s
...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 be a triangle, and from the points B, C, the ends of the side...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pagina’s
...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. 3. A line bisecting the angle at A of a triangle meets the opposite side BC at D : show that BA is...
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The Cambridge Examiner, Volume 3

1883 - 536 pagina’s
...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 side of a triangle be produced, the exterior angle is equal to the two interior and opposite...
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Guide to preliminary army examination

John Gibson - 1881 - 302 pagina’s
...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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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pagina’s
...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. 4. Parallelograms upon the same base, and between the same parallels are equal to one another. 5. Describe...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pagina’s
...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 ABC be a A, and from D a point within it draw straight lines to B and C. BD, DC shall be together...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 pagina’s
...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 parallelogram and a triangle be upon the same base and between the same parallels, the parallelogram...
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