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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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Pure mathematics, Volume 1

Edward Atkins - 1874
...triangles have, &c. (see Enunciation). Which was to be shown. Proposition 5. — Theorem. The angles at the base of an isosceles triangle are equal to...produced, the angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle, of which the side AB is AB = AC. equal to the side...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...another. 2. The diagonals of a square are equal to one another. PROPOSITION 5. THEOREM. 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. * Let ABC be an isosceles triangle, having...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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 AC, and let the equal sides AB, AC be produced to D and E. Then the angle ABC shall be equal...
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Pure mathematics, Volume 1

Edward Atkins - 1874
...have, &c. (see Enunciation). Which was to be showm. Proposition 5.— Theorem. The angles at the bose of an isosceles triangle are equal to one another ; and if the equal sides be produced, tlie angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle,...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 349 pages
...angles at the base of an isosceles triangle are equal; and if the equal sides be produced, the angles on the other side of the base shall be equal. Let ABC be an isosceles A , having the side AB = the side AC, then shall the i ABC be = the ^ A CB; also let the equal sides...
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The elements of geometry, in eight books; or, First step in applied logic

L J V. Gerard - 1874
...II. The angles of a scalene triangle, are unequal to each other. THEOREM 8. (Eucl. I. 5.) The angles at the base of an isosceles triangle, are equal to one another. Let the sides AB and BC of the triangle ABC be equal to each other. Let BD he the bisectrix of the...
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The Elements of the Psychology of Cognition

Robert Jardine - Consciousness - 1874 - 287 pages
...soon decide the question. From a comparison of certain angles and triangles we infer — " The angles at the base of an isosceles triangle are equal to one another." This is certainly not a relation of inclusion, either total or partial. From a variety of considerations,...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 21

1877
...correctness of crjtression. FOBKIOS OFFICE CLERKS. May 1876. EUCLID. Time allowed, 3 hours. 1. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides bo produced, the angles upon the other side of the base shall be equal. Prove, by using any propositions...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877
...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 in which the side AB is equal to the side AC, and let the sides AB, AC be produced to D and E ; then...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...triangles have, &c. (see Enunciation). Which was to be shown. Proposition 5.— Theorem. The angles at the base of an isosceles triangle are equal to one another ; andif the equal sides be produced, the angles upon the other side of the base shall also be equal....
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