 | Architecture - 1865 - 276 pages
...definitions of a square, oblong, rhombus, rhomboid, and trapezium ? 2. Prop. 5. — Theorem. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced, the angles on the opposite site of the base shall be equal. Given the vertical angle,... | |
 | William Harris Johnston - 1865 - 478 pages
...Tho proof of thle method depends on Euclid, Book I.. Prop. 5, in which it is shown that the angles at the base of an isosceles triangle are equal to one another (in the present instance, the angle то С D, and the angle m D С that would be formed by drawing... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 one another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. Let ABC be an isosceles... | |
 | James Et Al Parton - History - 1868 - 656 pages
...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... | |
 | 1868 - 876 pages
...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... | |
 | James Parton - Suffragists - 1869 - 702 pages
...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... | |
 | Edinburgh univ - 1871 - 392 pages
...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 one 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,... | |
 | Euclides - 1871 - 136 pages
...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 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 A,... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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 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 A,... | |
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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. 
