 | George Henry Lewes - 1874 - 512 pages
...particular case, or these few cases, will be equally visible in many, or all, cases resembling these. That the angles at the base of an isosceles triangle are equal, or that the square of 5 is 25, are intuitions, and admit of no doubt when the relations are clearly... | |
 | Noah Porter - 1874 - 606 pages
...plaiupd by iin In the fifth proposition of Playfair's Geometry, BI, it is proposed example, 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... | |
 | George Henry Lewes - 1874 - 456 pages
...particular case, or these few cases, will be equally visible in many, or all, cases resembling these. That the angles at the base of an isosceles triangle are equal, or that the square of 5 is 25, are intuitions, and admit of no doubt when the relations are clearly... | |
 | United States Naval Academy - 1874 - 888 pages
...by a single substitution t Prove this. GEOMETRY. Time allotted, tiro ЛОНГА and a half. 1. Prove that the angles at the base of an isosceles triangle are equal, and that if p equal sides be produced the angles on the other side of the base will be equal. В С... | |
 | Cornell University - 1875 - 1012 pages
...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... | |
 | 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.... | |
 | 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... | |
 | Stephen Thomas Hawtrey - 1878 - 202 pages
...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
...989. Probable — Property. 135 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... | |
| |
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... 
