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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, the parts read in the University of Cambridge [book ... - Pagina 22
di Euclides - 1846
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Papers for teachers

1880 - 594 pagine
...angles shall be equal to 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...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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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pagine
...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 straight lines...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 - 426 pagine
...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 straight lines...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 pagine
...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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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pagine
...another upon one side of it, are either two right angles, or are together equal to two right angles. 2. If from the ends of a side of a triangle, there be...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 pagine
...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 drawn two straight lines...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 pagine
...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, Volume 1,Edizione 1

1882 - 676 pagine
...angles, shall be equal to 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...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, Volumi 1-2

1882 - 486 pagine
...Parallel Straiylit Lines. 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...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 pagine
...diameters AC, BD, of a parallelogram ABCD, bisect one another, and specify the propositions you employ. 5. If from the ends of a side of a triangle there be...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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