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 13by Edward Atkins - 1876 - 119 pagesFull view - About this book
| 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 •-,.. -... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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