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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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General Report on Public Instruction in the Bengal Presidency

1852
...sum of the angles of a spherical triangle is greater than tno right angles, and less than six. Show that the angles at the base of an isosceles triangle are equal. 9. Express the cosine of an angle of a spherical triangle in terms of the cosines and sines of the...
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The Elements of Intellectual Philosophy

Francis Wayland - 1854 - 426 páginas
...logically proved, is aa certainly true as the axioms from which we at first proceeded. The proposition that the angles at the base of an isosceles triangle are equal, is just as valid a premise, in a geometrical demonstration, as the truth that things equal to the same...
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The Elements of Intellectual Philosophy

Francis Wayland - 1854 - 426 páginas
...logically proved, is as certainly true as the axioms from which we at first proceeded. The proposition that the angles at the base of an isosceles triangle are equal, is just as valid a premise, in a geometrical demonstration, as the truth that things equal to the same...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 páginas
...rockets, each containing 14lbs. of the composition ? Euclid. 1. Define an isosceles triangle : prove that the angles at the base of an isosceles triangle are equal to each other, and if the equal sides be produced, the angles on the other side of the base will be...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...radius from D and E drawing arcs intersecting in F ; AF is the bisecting line. 2. By Prop. 9, we show that the angles at the base of an isosceles triangle are equal ; for bisecting L ACB by CD, CA is equal to CB, CD common, and LA CD equal L BCD; therefore by P. 4,...
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The philosophy of education; or, The principles and practice of teaching

Thomas Tate (mathematical master.) - 1860
...question. Or when we take" for granted any principle which requires proof. In proving, for example, that the angles at the base of an isosceles triangle are equal to each other, if we assume that the angles on the other side of the base are equal to each other,...
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Instinct and Reason; Or, The First Principles of Human Knowledge

George Ramsay - 1862 - 136 páginas
...which compose the reasoning are equally general, or equally particular. When we prove, for instance, that the angles at the base of an isosceles triangle are equal, we have no doubt a particular diagram, a particular triangle before us ; and so far all the propositions...
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An Introduction to Mental Philosophy, on the Inductive Method

John Daniel Morell - 1862 - 464 páginas
...self-evident, but which lie at a few removes from a self-evident proposition. We know, for example, that the angles at the base of an isosceles triangle are equal ; that the three angles of a triangle are equal to two right angles ; and many other facts of a similar...
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Loftus's Inland Revenue Officers' Manual: a guide to the duties and ...

William Harris JOHNSTON - 1865
...С produced.* • Tho proof of thle method depends on Euclid, Book I.. Prop. 5, in which it is shown that the angles at the base of an isosceles triangle are equal to one another (in the present instance, the angle то С D, and the angle m D С that would be formed...
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Report ... on the common school system of the United States and of the ...

James Fraser (bp. of Manchester.) - 1866
...upon one side of it, are either two right angles, or are together equal to two right angles. 3. Prove that the angles at the base of an isosceles triangle are equal. 4. Prove that if, from a point within a triangle, two straight lines are draCT to the extremities of...
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