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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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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...the third side shall contain a whole number of feet ? PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be drawn two straight lines...the triangle, but shall contain a greater angle. Let ABC be A, and from the pts. B, C, the ends of the side BC, let the two st. lines BD, CD be drawn to...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...B. Therefore any two sides of a triangle, etc. QED Proposition XXI. Theorem. If from the ends of a side of a triangle there be drawn two straight lines...the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the side BC, let the ,,two straight lines...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 Seiten
...so that the third side shall contain a whole number of feet ? 21. 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. Same proposition. Is this a problem or theorem ? Why ? 22. Show how to make a triangle of which the...
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Parliamentary Papers, Band 22

Great Britain. Parliament. House of Commons - 1879
...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...of the triangle, but shall contain a greater angle. 2. Triangles upon equal bases and between the same parallels are equal INDIA to one another. SERVICE....
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Band 23

1879
...number n to the bases a and b. EUCLID (BOOKS I.-IV. AND VI.). Time allowe-i, 3 hours. 1. If from the ends of the side of a triangle there be drawn two...lines to a point within the triangle, these shall be Ie.-> than the other two sides of the triangle, but shall contain * greater angle. 2. Triangles upon...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...meets BC in D; show. that BA is greater than BD and CA is greater than C D. Section III. 1. If from the ends of the side of a triangle there be drawn two...lines to a point within the triangle, these shall together be less than the other two sides of the triangle, but shall contain a greater angle. The sum...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - 1879 - 349 Seiten
...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
...(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 drawn two...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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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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