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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. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 30
των Euclid, John Playfair - 1826 - 320 σελίδες
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 σελίδες
...angles, shall be equal. Why is no construction required in this theorem ? 3. 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. PUPIL TEACHERS...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...rectilineal angle, a right angle, a Gnomon. Enunciate Euclid's Postulates. 2. 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. C . If two...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 376 σελίδες
...joining the vertex and the point of bisection, s. E. 3 PROPOSITION XXI. THEOREM. If, from the ends of the side of a triangle, there 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...

Civil Service of India: Open Competition for the Regulations, Examinations ...

1878 - 228 σελίδες
...cent GEOMETRY. AS BUTLER, Esq. Tuesday, 22nd June 1880. 10 AM to 1 PM 1. If from the ends of the sides of a triangle there be drawn two straight lines to a point within it, these shall be together less than the other two sides of the triangle, but shall contain a greater...

Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 σελίδες
...equal angles shall be 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...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...

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

W J. Dickinson - 1879 - 44 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 to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. Same proposition....

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 σελίδες
...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 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 ABC...

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

Euclides - 1879 - 146 σελίδες
...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 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 ABC...

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

James Hamblin Smith - 1879 - 378 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...

Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 σελίδες
...equal angles shall be 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...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...




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