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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 two straight lines BD. "
Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ... - Page 20
by Euclid - 1845 - 199 pages
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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...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 - 176 pages
...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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Guide to preliminary army examination

John Gibson - 1881 - 302 pages
...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, Issue 1

Education - 1882 - 676 pages
...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 ? Music. A quarter of an hour allowed for this paper....
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The Competitor, Volumes 1-2

1882 - 486 pages
...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 drawn two straight lines...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.) - Examinations - 1882 - 152 pages
...parallelogram ABCD, bisect one another, and specify the propositions you employ. 5. If from the ends of a side of a triangle there be drawn two straight lines...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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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...demonstration for the other pairs of sides. I. 21. We pass to Prop. XXI., the last of this group of theorems. If from the ends of the side of a triangle there be drawn two straight lines to a point within it, these will be less than the other sides of the triangle, but will contain a greater angle. Let...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 pages
...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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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...to the greater side shall be greater than the angle opposite to the less. 4. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these straight lines shall be together less than the other two sides of the triangle, but shall contain a...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...proposition in Euclid is the converse of this ? 2. If from the ends of one side of a triangle there bo 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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