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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 - Σελίδα 15
των Euclides - 1853 - 147 σελίδες
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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...

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...

A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 σελίδες
...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...

Parliamentary Papers, Τόμος 22

Great Britain. Parliament. House of Commons - 1879 - 632 σελίδες
...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....

Report of Her Majesty's Civil Service Commissioners: Together with ..., Τόμος 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...

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...

Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - 1879 - 349 σελίδες
...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...

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...

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....

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

...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...