| George Johnston Allman - Geometry - 1889 - 266 pages
...proposes a problem ; for it is possible to inscribe one that is not equilateral. But when anyone asserts that the angles at the base of an isosceles triangle are equal, he must affirm that he proposes a theorem ; for it is not possible that the angles at the base of an... | |
| Noah Porter - Intellect - 1890 - 600 pages
...plaiued by an 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... | |
| Friedrich Ueberweg - Philosophy - 1891 - 520 pages
...Eudemus, an immediate pupil of Aristotle): 1. Thnt the circle is halved by its diameter (t?>. p. 44) ; 2. That the angles at the base of an isosceles triangle are equal to each other (p. 67) ; 3. That the opposite angles formed by intersecting lines are equal to each... | |
| Photography - 1910 - 620 pages
...school. The Euclid in itself is not of much practical use — no one wants to prove in everyday life that the angles at the base of an isosceles triangle are equal to one another or that the three angles of a triangle are equal to two right angles, but you learn... | |
| Charles Sanders Peirce - Philosophy - 1966 - 484 pages
...should, of course, look for his demonstrations among the most awkward. We find it stated, for instance, that the angles at the base of an isosceles triangle are equal was first "set forth and said by" Thales. This is evidently a quotation from a poet and is supposed... | |
| China - 1842 - 718 pages
...their vacant time, — proceeded, one to perform a problem, and the other to demonstrate the theorem, that " the angles at the base of an isosceles triangle are equal." They had gone, it was remarked, about halfway through the first book of Playfair's Euclid, demonstrating... | |
| English periodicals - 1878 - 1178 pages
...fifth proposition of 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... | |
| Physics - 1851 - 1228 pages
...shown that there is only one intel. ligible law, then that must be the actual law. Thus we may argue that the angles at the base of an isosceles triangle are equal ( not because there is no reason why one should be greater than the other, but), because, if not, no... | |
| John B. Bremner - Language Arts & Disciplines - 1980 - 424 pages
...PONS ASINORUM Straight Latin for "bridge of asses," pons asinorum is the nickname for Euclid's theorem that the angles at the base of an isosceles triangle are equal. The theorem was considered hard for beginners to understand, and pons asinorum has come to mean any... | |
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