 | Francis Wayland - Philosophy - 1854 - 436 pages
...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 - Philosophy - 1854 - 444 pages
...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 - 578 pages
...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 - 248 pages
...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 - 394 pages
...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,... | |
 | John Daniel Morell - Psychology - 1862 - 490 pages
...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... | |
 | George Ramsay - Instinct - 1862 - 160 pages
...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... | |
 | William Harris Johnston - 1865 - 478 pages
...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 - 480 pages
...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... | |
 | Noah Porter - History - 1869 - 752 pages
...satisfactorily by an example. In the fifth proposition of Euclid's geometry, BI, it is proposed to prove that the angles at the base of an isosceles triangle are equal. The first step is to prepare the diagram by producing the two sides AB, and AC, indefinitely towards... | |
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Euclid's, and show by construction that its truth was known to us ; to demonstrate, for example, that the angles at the base of an isosceles triangle are equal... 
