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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... "
Elementary Plane Geometry: Inductive and Deductive - Página 17
por Alfred Baker - 1903 - 144 páginas
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an america girl, and her four years in a boys college

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...
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An introduction to the Elements of Euclid, being a familiar ..., Parte1

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...
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On the Province of Methods of Teaching: A Professional Study

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...
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Mathews' Euclid examination papers ... on Euc. i.-iv

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...
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Maud Atherton, Volumen1

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...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

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...
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Hermathena, Volumen3

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...
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On the Province of Methods of Teaching: A Professional Study

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...
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Education, Volumen5

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],...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

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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