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
| Robert Potts - 1868 - 434 pages
...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... | |
| 1868 - 876 pages
...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... | |
| James Parton - Suffragists - 1869 - 702 pages
...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,... | |
| Edinburgh univ - 1871 - 392 pages
...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 one another...upon the other side of the base shall also be equal. 2. In comparing two triangles, what things must be equal, in order that the triangles may be equal... | |
| Euclides - 1871 - 136 pages
...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 one another...produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles A, having AB = AC. Produce AB, AC to D and E. Then must L ABC= L... | |
| Elias Loomis - Geometry - 1871 - 302 pages
...&c. PROPOSITION X. THEOREM. The angles at the base of an isosceles triangle arc equal to anc another. Let ABC be an isosceles triangle, of which the side AB is equal to AC ; then will the angle B be equal to the angle C. For, conceive the angle BAC to be bisected... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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 one another...produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles A, having AB = AC. Produce AB, AC to D and E. Tlwn must L ABC= L... | |
| Henry Major - Student teachers - 1873 - 580 pages
...of the other, and be equal to them, viz., ABC to DEF, and ACB to DFE. V. — 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 AB is • qual to AC, and let AB, AC, be produced... | |
| Herbert Spencer - 1873 - 678 pages
...the abstract terms are forthwith abandoned, and the proposition is re-stated in a concrete form. " Let ABC be an isosceles triangle, of which the side AB is equal to the side AC ; then the angle ABC shall be equal to the angle AC B." By a series of steps which... | |
| Herbert Spencer - Psychology - 1873 - 670 pages
...the abstract terms are forthwith abandoned, and the proposition is re-stated in a concrete form. " Let ABC be an isosceles triangle, of which the side AB is equal to the side AC; then the angle ABC shall be equal to the angle AC B." By a series of steps which... | |
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