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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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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

Robert Potts - 1868 - 410 Seiten
...demonstrated. PROPOSITION V. THEOREM. The angles at the base 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...
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Annual Report

1868
...when and where will he overtake A 25 EUCLID— BOOKS I. AND II. THIRD DIVISION. Values. \. The angles at the base of an isosceles triangle are equal to one another ; and, if the equal aide produced, the angles upon (he other side of the base shall be equtil 15 2. The greater side of...
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Eminent Women of the Age: Being Narratives of the Lives and Deeds of the ...

James Parton - 1869 - 618 Seiten
...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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870
...equal, and its angles rt. angles. 5. I. 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 bo equ;il. Ax. 1. Magnitudes, &c. 6. I. If two angles of a triangle be equal to one another, the sides...
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The Edinburgh university calendar

Edinburgh univ - 1871
...gain per cent. ? ELEMENTS OF MATHEMATICS AND ALGEBRA. Wednesday, 1<)th Of taber 1870. 1. 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. 2. In comparing two triangles, what things must...
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Elements of geometry, containing the first two (third and fourth ..., Teil 1

Euclides - 1871
...I. give good examples of symmetrical constructions. NOTE XI. Euclid-s Prop. V. of Book I. 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 A, having AB = AC. Produce...
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The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 285 Seiten
...with the angle DEF, and therefore the angle ABC must be equal to the angle ACB, therefore the angles at the base of an isosceles triangle are equal to one another. Corollary 2. — If two triangles can be transferred so that their angles coincide each with each they...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 Seiten
...I. give good examples of symmetrical constructions. NOTE XL Euclid's Prop. V. of Book I. 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 A, having AB = AC. Produce...
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