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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. Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the... "
Elements of geometry, based on Euclid, books i-iii - Side 13
av Edward Atkins - 1876 - 119 sider
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Pure mathematics, Volum 1

Edward Atkins - 1874 - 426 sider
...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...equal sides of the triangle), be produced to D and E. And the angle CBD shall be equal to the angle BCE (angles upon t/ie other side of t/ie base). CONSTRUCTION....
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Pure mathematics, Volum 1

Edward Atkins - 1874 - 428 sider
...if two triangles have, &c. (see Enunciation). Which was to be showm. Proposition 5.— Theorem. The angles at the bose of an isosceles triangle are equal...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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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 sider
...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 one 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 - 342 sider
...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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Examination Christmas,1875

Education Department,London - 1876 - 1010 sider
...oblong, and parallelogram ; and distinguish between a postulate and an axiom. 2. The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced the angles on the other side of the base will be equal to one another. Show that the segments of BG, CF, in Euclid's...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 sider
...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...triangle), be produced to D and E. The angle ABC shall be equal to the angle ACB (angles at the base), And the angle CBD shall l>e equal to the angle BCII...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volum 21

1877 - 678 sider
...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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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 sider
...oblong, and parallelogram ; and distinguish between a postulate and an axiom. 2. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced the angles on the other side of the base will be equal to one another. Show that the segments of BG, CF, in Euclid's...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 sider
...them is equidistant from the extremities of the other. PROPOSITION V. THEOREM. The angles at the base of 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. Let ABC be an isosceles A in which AB=AC, and let the...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 sider
...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 one 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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