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" 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. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 26
av Euclid - 1810 - 518 sider
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Parliamentary Papers, Volum 22

Great Britain. Parliament. House of Commons - 1879
...q of the same number n to the bases a and b. EUCLID (BOOKS I.-IV. AND VI.). Time allowed, 3 hours. If from the ends of the side of a triangle there be drawn t\vo straight lines to a point within the triangle, these shall be less than the other two sides of...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - 1879 - 349 sider
...the point of bisection. PROPOSITION XXI. THEOREM. If, from the ends of the side of a triangle, iliere be drawn two straight lines to a point within the triangle; these will be together less than the other sides of the triangle, but mil 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
...THEOREM (Euclid I. 21). Repeat. — The enunciations of Euc. I. 20, and I. 16. General Enunciation. If from the ends of the side of a triangle there be...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 straight...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...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...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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Papers for teachers

1880
...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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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...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
...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 - 335 sider
...Into 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, Volum 3

1883
...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...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 - 1880 sider
...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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