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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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Atkinson's Casket, Volumen8

1833
...to geometry than to the sciences generally. He demonstrated the properties of the circle, discovered that the angles at the base of an isosceles triangle are equal, and that the two opposite angles of a right line cutting another are equal. He also taught the Egyptians...
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Christian Ethics; Or, Moral Philosophy on the Principles of Divine Revelation

Ralph Wardlaw - 1834 - 446 páginas
...any action that it is fit, and yet not fit for anyparticu. '• lar purpose, is as absurd as to say that the angles at the base " of an isosceles triangle are equal, but neither to each other " nor to any other angles." But this proceeds quite on a misunderstanding...
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The philosophy of morals

Alexander Smith (M.A.) - 1835
...that he is virtuous : just as we should not say, he is a good mathematician who knows and believes that the angles at the base of an isosceles triangle are equal — that a parallelogram of the same base and altitude with a triangle is double that triangle —...
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The Philosophy of Morals: An Investigation by a New and Extended ..., Volumen2

Alexander Smith - 1835
...that he is virtuous : just as we should not say, he is a good mathematician who knows and believes that the angles at the base of an isosceles triangle are equal — that a parallelogram of the same base and altitude with a triangle is double that triangle —...
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The Schoolmaster: Essays on Practical Education, Selected from the ..., Volumen1

1836
...might have been found out by means of the first. The reasoning will then stand thus : — If it be true that the angles at the base of an isosceles triangle are equal, and also that the exterior angle of a triangle is equal to the sum of the interior and opposite angles,...
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Remarks on Mathematical Or Demonstrative Reasoning

Edward Tagart - 1837 - 135 páginas
...may be as certain, and doubtless I am, that there lived a celebrated orator named Cicero, at Rome, as that the angles at the base of an isosceles triangle are equal to one another ; but it is evident that the ideas associated with the words Cicero, celebrity, oratory,...
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Indian Reminiscences: Or, The Bengal Moofussul Miscellany

George Augustus Addison - 1837 - 339 páginas
...demonstrate the thirty-second, therefore, a person must be able to demonstrate the fifth, or to prove that the angles at the base of an isosceles triangle are equal to one another, &c. — and yet how many have we known who have forfeited their claims to manhood,...
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A Treatise on Geometry and Its Application in the Arts

Dionysius Lardner - 1840 - 314 páginas
...as an isosceles triangle, any one of the three sides being taken as base ; and as it has been proved that the angles at the base of an isosceles triangle are equal (63.), it follows that the three angles of an equilateral triangle are equal. (72.) Also, if the three...
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Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840
...are equal to each other. Thus it appears that the first part of the Fifth Proposition, which asserts that the angles at the base of an isosceles triangle are equal, may be inferred directly from the Fourth Proposition, without any new construction, so as to avoid...
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The history of literature; or, The rise and progress of language ..., Volumen1

sir William Cathcart Boyd - 1843
...elements of Euclid, particularly the following theorems : that a circle is bisected by its diameter; that the angles at the base of an isosceles triangle are equal ; that the vertical angles of two intersecting lines are equal ; that if two angles and one side of...
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