 | Ralph Wardlaw - Christian ethics - 1834 - 480 pages
...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... | |
 | Alexander Smith - Ethics - 1835 - 360 pages
...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 —... | |
 | Alexander Smith (M.A.) - 1835 - 750 pages
...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 —... | |
 | Education - 1836 - 502 pages
...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,... | |
 | Edward Tagart - Logic - 1837 - 156 pages
...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,... | |
 | George Augustus Addison - Anglo-Indian literature - 1837 - 372 pages
...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,... | |
 | Euclides - 1840 - 192 pages
...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... | |
 | Dionysius Lardner - Curves, Plane - 1840 - 386 pages
...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... | |
 | sir William Cathcart Boyd - 1843 - 444 pages
...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... | |
 | James Thomson - Geometry, Analytic - 1844 - 146 pages
...From formulas (85) and (86), or those derived from them, it is easy to show, that B=A, when 6= a, or that the angles at the base of an isosceles triangle are equal; as, by taking a and b equal, the values of cos A and cos B would become equal. FORMULAS OF THE FOUR... | |
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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... 
