| Noah Porter - 1869 - 673 páginas
...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... | |
| Francis Jacox - 1870
...pronounced a universal genius, but for one deficiency—he never, for the life of him, could demonstrate **that the angles at the base of an isosceles triangle are equal.** He bears witness of himself, "I was very dull at school, and hated arithmetic: I always had to count... | |
| 1870
...through a thousand stages, if need be, till you bring it to the meaning required. Thus you may prove **that the angles at the base of an isosceles triangle are equal** to each other, by the music of the spheres, or the eternity of the world from the nature of cause and... | |
| William Stanley Jevons - 1870 - 340 páginas
...resemblance to inductive reasoning. When in the fifth proposition of the first book of Euclid we prove **that the angles at the base of an isosceles triangle are equal** to each other, it is done by taking one particular triangle as an example. A figure is given which... | |
| Noah Porter - 1871 - 565 páginas
...pliiiued byan 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... | |
| Henry William Watson - 1871 - 285 páginas
...For example, we have proved in the corollaries to Propositions 5 and 6, respectively, the proposition **that the angles at the base of an isosceles triangle are equal** to one another, and its con-verse. We might also proceed as follows : Pig 2I Let ABC be an isosceles... | |
| John Benn Walsh Baron Ormathwaite - 1872 - 179 páginas
...experience. The nature of the proof differs altogether from that by which we arrive at the certainty **that the angles at the base of an isosceles triangle are equal.** In the one case the result is certain under all circumstances, and arises from the nature of things.... | |
| Lord Ormathwaite - 1872
...experience. The nature of the proof differs altogether, from that by which we arrive at the certainty **that the angles at the base of an isosceles triangle are equal.** In the one case the result is certain under all circumstances, and arises from the nature of things.... | |
| George Grote - 1872
...necessary for supporting it will be completed. Aristotle illustrates this by giving a demonstration **that the angles at the base of an isosceles triangle are equal** ; justifying every step in the reasoning by an appeal to some universal proposition." Again, every... | |
| Noah Porter - 1873 - 673 páginas
...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 A B. and AC, indefinitely towards... | |
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