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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 - Page 13
by Edward Atkins - 1876 - 119 pages
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...opposite shall be equal, each to each. Which was to be proved. PROP. V. THEOR. The angles at the base of an isosceles triangle are equal to one another...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, i- - -tv •-,.. -...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - Euclid's Elements - 1836 - 172 pages
...enunciation and proof of this theorem are as follows : The an9les at the base of an equal-sided trian9le are equal to one another; and if the equal sides be produced, the an9les upon the other side of the base shall be also, equal. Let ABC be a triangle, of which the side...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...to the angle DEF, and the angle ACB to the angle DFE. PHOPOSITION V. THEOREM. The angles at the base of an isosceles triangle are equal to one another...be an isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB, AC, be produced to D and E, the angle ABC shall be equal...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...applied to another, it is said to be proved by the method of superporition. THE angles at the base of an isosceles triangle are equal to one another...produced, the angles upon the other side of the base are also equal.* Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...directions in Euclid. PROPOSITION V. Theorem. The angles at the base of an isosceles triangle are equal ; and if the equal sides be produced, the angles upon the other side of the base shall be equal. Steps of the Demonstration. f base BG = base CF 1. Prove that in A AGB< Z ABG= Z ACF }of...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...equal sides are opposite, shall be equal, each to each. V PROP. V. THEOR. f The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced, tfa angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...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 one another...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 straight...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...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 one another;...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 straight...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...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 one another;...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 straight...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...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 one another...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 straight...
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