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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. "
First principles of Euclid: an introduction to the study of the first book ... - Seite 88
von T S. Taylor - 1880
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...remaining angles of the other, and be equal to them, viz., ABC to DEF, and ACB to DFE. V. — The angles at the 'base of an isosceles triangle are equal to...another; and if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which AB is •...
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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...other side of the base shall be equal to one another. * Let ABC be an isosceles triangle, having the ' • side AB equal to the side AC, and let the straight...
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Pure mathematics, Band 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...another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle, of which the...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 349 Seiten
...two of its sides equal. PROPOSITION II. The 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;...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...PROPOSITION 5. — Theorem. The angles at the base 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...
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Pure mathematics, Band 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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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...DF were produced. PROP. V. — THEOREM. The 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 are also equal. Let ABC be an isosceles triangle, having the side AB equal to the side AC; it is required...
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Annual Register of the United States Naval Academy, Annapolis, Md, Bände 25-32

United States Naval Academy - 1874
...and a half. 1. Prove that the angles at the base of an isosceles triangle are equal, and that if p equal sides be produced the angles on the other side of the base will be equal. В С is an isosceles triangle, В С the base ; if the angles ARC and AC В be bisected...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883
...give good examples of symmetrical constructions. 11. Euclid's Proof of 1. 5. The angles at the lose 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. Let ABC be an isosceles A , having AB=AC. Produce AB,...
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Annual Report

1886
...an isosceles triangle. 2. The angles at the base 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 are also equal. 8. If one side of a triangle be produced, the exterior angle is greater than either...
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