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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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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Band 2

Robert Potts - 1863
...a right line, a right angle, parallel lines, a rKombus, and an acute-angled triangle. 2. The angles at the base of an isosceles triangle are equal to...produced, the angles on the other side of the base shall also be equal. Prove, without assuming any proposition subsequent to the preceding, that the diagonals...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...distance AB. PROF. 5. — THEOR. The angles at the base of an isosceles triangle are equal to each ether ; and if the equal sides be produced, the angles on the other side of the base shall be equal, CON.— Pst. 2, P. 3, Pat. 1.— DEM.— P. 4, Ax. S, Def. 24, Ax. 1. E. 1 4 C. 1 2 D. 1 2 3 4 Hyp....
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Responsions

University of Oxford - 1863
...straight lines, a gnomon. 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 shall be equal. 3. Bisect a given finite straight line, that is, divide it into two equal parts. 4. If from the ends...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...demonstrated. PROPOSITION V. THEOREM. The angles at the base of an isosveles 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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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...demonstrated. PROPOSITION V. 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, ACbe...
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Papers Read at the Royal Institute of British Architects

1865
...definitions of a square, oblong, rhombus, rhomboid, and trapezium ? 2. Prop. 5. — Theorem. The angles at the base of an isosceles triangle are equal to...if the equal sides be produced, the angles on the opposite site of the base shall be equal. Given the vertical angle, and a side to construct the triangle....
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...angles are equal . . . . . . I. 15. . B. Relating to the Sidet and Angles of Triangles. 1. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be prodnced, the angles on the other side of the base are equal . . . . , . I. 5. 2. Conversely, if two...
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Half-hour examination papers, for daily use

John Robertson (LL.D., of Upton Park sch.) - 1865 - 144 Seiten
...interior angles of a hexagon equal ? [C.] 32. 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 equal. [0.] EXAMINATION PAPER. MONDAY. Divinity. 60. How long were the Jews in captivity at Babylou...
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Loftus's Inland Revenue Officers' Manual: a guide to the duties and ...

William Harris JOHNSTON - 1865
...Tho proof of thle method depends on Euclid, Book I.. Prop. 5, in which it is shown that the angles at the base of an isosceles triangle are equal to one another (in the present instance, the angle то С D, and the angle m D С that would be formed by drawing...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 Seiten
...ACB to the angle DFE. Wherefore, if two triangles &c. QED r"-' PROPOSITION 5. THEOREM. Ttie~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 lines...
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