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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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. 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 the side...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 Seiten
...angles, to which the equal sides are opposite, shall be equal, each to each. PROP. V. THEOR. The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced, tfte angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which...
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Report to the Trustees of the Dick Bequest for the Benefit of the ..., Band 2

1844
...same plane with it, are observed ; to find the distance between them. 1842. GEOMETRY. 1. The angles at the base of an isosceles triangle are equal to...produced, the angles on the other side of the base are equal. 2. Give different methods of drawing a straight line at right angles to another ; and explain...
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The British Annals of Education for ...: Being The Scholastic ..., Bände 1-2

1844
...circle and the centre of a circle. What do you understand by an angle in a segment ? 2. The angles at the base of an isosceles triangle are equal to one another ; and if tbe equal sides be produced, the angles upon the other side of the base shall be equal. 3. If from...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...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 sideAB is equal to AC, and let the equal sides AB, AC...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 Seiten
...the angles formed hy producing AC and DF through (J and F are equal. PROP. V. THEOR. — The angles at the base of an isosceles triangle are equal to one another ; and, if the equal sides he produced, the angles upon the other side of the base are also equal.* Let ABC be an isosceles triangle,...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 Seiten
...each. Which was to be demonstrated. PROPOSITION V. THEOR. — The angles at the base of an isoscelet 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 Seiten
...angles, to which the equal sides are opposite, shall be equal, each to each. PROP. V. THEOR. 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 the side...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 138 Seiten
...taken is a portion of space, to which each of the triangles is applied. 5 Th. The angles (ABC, ACB), at the base of an isosceles triangle, are equal to one another ; and if the equal sides (AB, AC,) be produced (to D and E), the angles (BCE, CBD,) below the base (BC^ shall be equal. Constr....
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...Wherefore, If two triangles &c. QED PROP. V. THEOR. The angles at the base of an isosceles triangle an 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...
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