| sola - 1878
...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... | |
| Stephen Thomas Hawtrey - 1878 - 171 páginas
...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... | |
| James Harmon Hoose - 1879 - 376 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... | |
| Edward Harri Mathews - 1879
...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... | |
| Alfred Leigh - 1879
...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 - 1879 - 36 páginas
...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... | |
| 1879
...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 - 1879 - 376 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... | |
| 1885
...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],... | |
| Euclid, F. B. Harvey - 1880 - 119 páginas
...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... | |
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