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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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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...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 be produced to D and E. Then the angle ABCsha.ll be equal...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...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 produced to D and E. • Then the angle ABC shall be...
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Papers Read at the Royal Institute of British Architects

Architecture - 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...another ; and 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...
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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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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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 317 pages
...which the equal •ides are opposite, shall be equal, each to each. /• PROP. V. THEOR. ./ The angles at the base of an Isosceles triangle are equal to...be produced, the angles upon the other side of the bast shall be equal. Let ABC be an isosceles triangle, of which the side AB is equal to AC and let...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...angle ACB to the angle DFE. Wherefore, if two triangles &c. QED PROPOSITION 5. THEOREM. TJie 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 for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...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...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...of an isosceles triangle are equal to each nfher ; 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 produced to D and E. Then the angle ^.BCshall be equal...
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EMINENT WOMEN OF THE AGE;

JAME PARTO - 1868
...Proposition not only inwardly, but as an outward application; so that it might have read thus : " The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced in curl papers, the angles on the other side of the os frontis are also equal." But in the laughing,...
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