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" THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 15
by Robert Simson - 1806 - 518 pages
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1877 - 443 pages
...less than the sum of BA and AC. Therefore, if from a point, .etc. PROPOSITION X. THEOREM. The angles at the base of an isosceles triangle are equal to one another. Let ABC be an isosceles triangle, of which the side AB is equal to AC ; then will the angle B be equal...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...two triangles have two sides of the one &c. QED Paot. IV. THEOEEM. (Prop. 5 and 6 : IE) The tingles at the base of an isosceles triangle are equal to one another ; and conversely, if the angles at the base of a tri-' angle are equal, it is an isosceles triangle. First,...
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Elementary geometry

James Maurice Wilson - 1878
...coincides with and is equal to the area of the triangle EDF*. QED *• Eucl. i. 4. THEOREM 6. The angles at the base of an isosceles triangle are equal to one another *. Part. En. Let ABC be an isosceles triangle, having the side AB equal to the side AC; it is required...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879
...sector of a circle, a polygon. When is a straight line said to be ' placed in a circle ' ? 2. The angles at the base of an isosceles triangle are equal to...another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. 3. If a straight line be divided into...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...of an isosceles triangle are equal to each other ; and if the equal sides be produced, the angles on the other side of the base shall be equal. Let ABC be an isosceles triangle, of which the side AB is equal to the side AC, and let the equal sides AB, AC be produced to D and E. Then the angle ABC shall...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...theorem, some asserted geometrical property is to be demonstrated (or shown true), as ' the angles at the base of an isosceles triangle are equal to one another.' Thus in a problem there are data (things given) and quassita (things required) and a solution is sought...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...Examinations. 1875-77. SUBJECT V. — PURE MATHEMATICS. GEOMETRY. Stage I. May 1875. 1. Prove that the angles at the base of an isosceles triangle are equal to one another. 2. Prove that any two sides of a triangle are together greater than the third. 3. Let ABC be three...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...angle ACB to the angle DFE. Wherefore, if two triangles &c. QED PROPOSITION 5. THEOREM. T/te angles at the base of an isosceles triangle are equal to...another; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. Let ABC be an isosceles triangle, having...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880
...sides equal. Repeat. — The enunciation of Euc. I. 4, and Axiom 3. General Enunciation. The angles at the base of an isosceles triangle are equal to...another; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. The same, in tabular form. GIVEN. REQUIRED....
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...EUCLID. Capital letters, and not numbers, must be used in the diagrams. 1. The angles at the base or an isosceles triangle are equal to one another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. 2. Draw a straight line perpendicular...
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