 | Cornell University - 1875 - 1012 pages
...of imaginaries; multiply together (i + I/ — ') and (i — ii/ — 4) ; and explain. GEOMETRY. i. Prove that the angles at the base of an isosceles triangle are equal : and the converse theorem. 2. Prove that if there are two sets of proportional quantities, the products... | |
 | Robert Lewis Dabney - 1875 - 388 pages
...proposition is true, then it is true everywhere, and ' to all grades of minds. When once we are certain that the angles at the base of an isosceles triangle are equal, then we are obliged to believe that they are equal in any other planet, and in all the heavens, as... | |
 | William Stanley Jevons - 1876 - 366 pages
...contained in the premises implicitly. In Imperfect Induction the process seems to be of a wholly different character, since the instances concerning which we...to each other, it is done by taking one particular trian 0 le as an example. A figure is given which the reader is requested to regard as having two equal... | |
 | Henry Major - 1876 - 784 pages
...the Norman conquest upon the English language. Write full notes of a lesson on Tea. 1 . The angles at the base of an isosceles triangle are equal to each other, and if the eqnal sides be produced, the angles on the other side of the base shall be eqnal. • ;... | |
 | 1878 - 446 pages
...fifth proposition in Euclid for the sake of the discipline, not for the sake of learning the mere fact that the angles at the base of an isosceles triangle are equal. She answered: ' Yes, that is quite true, and I often think that we are on the wrong track altogether.... | |
 | Euclides - 1877 - 58 pages
...[NOTE.— The following is Euclid's more complete statement and proof of this proposition.] 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 shall be equal. Let ABC... | |
 | Stephen Thomas Hawtrey - 1878 - 202 pages
...last of your propositions which has come to our knowledge in the far west is the fifth, in which you prove that the angles at the base of an isosceles triangle are equal, and I cannot withhold from you my admiration of the lucid, direct, and convincing proof that you have... | |
 | Francis Garden - 1878 - 280 pages
...triangle, as i Euiur. Electra, 989. PROBLEM^ distinguished from a theorem or speculative truth, such as that the angles at the base of an isosceles triangle are equal. With Aristotle, problem means question. A problem with him is something which may be true, but has... | |
 | Olive San Louie Anderson - 1878 - 284 pages
...right-angled triangle is equal to the sum of the squares described upon the other two sides, and also that the angles at the base of an isosceles triangle are equal." Then followed more propositions, in most of which she acquitted herself creditably. Prof. Noyes, who... | |
 | Nicholas Patrick Wiseman - 1878 - 568 pages
...20, § 282) to seek it out in the field of geometry. He first selects the proposition : " The angles at the base of an isosceles triangle are equal to each other." He then observes, that in order to prove this, a concrete example is taken, and that when the equality... | |
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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, and that if the equal sides be produced the angles on the other side of the base... 
