 | Francis Garden - Philosophy - 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... | |
 | Alfred Leigh - 1879 - 350 pages
...importance was too obvious a fact to need enunciation, just as it would be superfluous to proclaim that the angles at the base of an isosceles triangle are equal, or to beseech men to believe that the whole is greater than a part. His sister Agnes was a pale slight... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...AB. 5. What is a plane triangle, and how many different kinds of triangles does Euclid name? Prove that the angles at the base of an isosceles triangle are equal, and if the equal sides be produced the angles on the other' side of the base shall be equal. •Show... | |
 | Edward Harri Mathews - 1879 - 94 pages
...Department Examinations. 1875-77. SUBJECT V. — PURE MATHEMATICS. GEOMETRY. Stage I. May 1875. 1. Prove that the angles at the base of an isosceles triangle are equal to one another. 2. Prove that any two sides of a triangle are together greater than the third. 3. Let... | |
 | James Harmon Hoose - Education - 1879 - 440 pages
...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... | |
 | Humanities - 1879 - 672 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... | |
 | James Harmon Hoose - Education - 1879 - 476 pages
...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... | |
 | Education - 1885 - 696 pages
...is isosceles by hypothesis, and ABC and ACB are its base angles ; but it has been proved in I., 10, that the angles at the base of an isosceles triangle are equal ; therefore ABC = ACB. [3] The two triangles BDC and EEC have the angle BDC = BEG as proved in [i],... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...Problems give something to be done, as the making of a Triangle. Theorems state something to be proved, as that the angles at the base of an Isosceles Triangle are equal to each other. But in Problems as well as in Theorems, argument is employed. In a Theorem the necessity... | |
 | George Grote - History - 1880 - 708 pages
...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... | |
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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... 
