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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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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 σελίδες
...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 drawn two...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...

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...

Report on Foreign Systems of Naval Education

James Russell Soley - 1880 - 335 σελίδες
...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....

Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 σελίδες
...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...

Guide to preliminary army examination

John Gibson - 1881
...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...

The Practical Teacher, Τόμος 1,Τεύχος 1

1882
...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....

The Competitor, Τόμοι 1-2

1882
...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...

University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...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...

Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...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...

The papers set at the professional preliminary examination

College of preceptors - 1882
...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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