| 1852
...sum of the angles of a spherical triangle is greater than tno right angles, and less than six. Show **that the angles at the base of an isosceles triangle are equal.** 9. Express the cosine of an angle of a spherical triangle in terms of the cosines and sines of the... | |
| Francis Wayland - 1854 - 426 páginas
...logically proved, is aa certainly true as the axioms from which we at first proceeded. The proposition **that the angles at the base of an isosceles triangle are equal,** is just as valid a premise, in a geometrical demonstration, as the truth that things equal to the same... | |
| Francis Wayland - 1854 - 426 páginas
...logically proved, is as certainly true as the axioms from which we at first proceeded. The proposition **that the angles at the base of an isosceles triangle are equal,** is just as valid a premise, in a geometrical demonstration, as the truth that things equal to the same... | |
| War office - 1858 - 12 páginas
...rockets, each containing 14lbs. of the composition ? Euclid. 1. Define an isosceles triangle : prove **that 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 will be... | |
| Euclides - 1858
...radius from D and E drawing arcs intersecting in F ; AF is the bisecting line. 2. By Prop. 9, we show **that the angles at the base of an isosceles triangle are equal** ; for bisecting L ACB by CD, CA is equal to CB, CD common, and LA CD equal L BCD; therefore by P. 4,... | |
| Thomas Tate (mathematical master.) - 1860
...question. Or when we take" for granted any principle which requires proof. In proving, for example, **that the angles at the base of an isosceles triangle are equal** to each other, if we assume that the angles on the other side of the base are equal to each other,... | |
| George Ramsay - 1862 - 136 páginas
...which compose the reasoning are equally general, or equally particular. When we prove, for instance, **that the angles at the base of an isosceles triangle are equal,** we have no doubt a particular diagram, a particular triangle before us ; and so far all the propositions... | |
| John Daniel Morell - 1862 - 464 páginas
...self-evident, but which lie at a few removes from a self-evident proposition. We know, for example, **that the angles at the base of an isosceles triangle are equal** ; that the three angles of a triangle are equal to two right angles ; and many other facts of a similar... | |
| William Harris JOHNSTON - 1865
...С produced.* • 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... | |
| James Fraser (bp. of Manchester.) - 1866
...upon one side of it, are either two right angles, or are together equal to two right angles. 3. Prove **that the angles at the base of an isosceles triangle are equal.** 4. Prove that if, from a point within a triangle, two straight lines are draCT to the extremities of... | |
| |