| 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... | |
| 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... | |
| 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 —... | |
| 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 —... | |
| 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,... | |
| 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,... | |
| 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,... | |
| 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... | |
| 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... | |
| 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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