| John Playfair - Geometry - 1836 - 148 pages
...equal to the angle GCB, which are the angles upon the other side of the base. Therefore, the angles at the base of an isosceles triangle are equal to one another ; and, if the equal sides be produced, the angles upon the other side of the base shall be equal. Which was to be proved. COR.... | |
| Mathematics - 1836 - 488 pages
...angles shall be equal, each to each, viz, those to which the equal sides are opposite. V. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. COR. Every equilateral... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...figure to be applied to another, it is said to be proved by the method of superporition. THE angles at the base of an isosceles triangle are equal to one another ; and, if the equal sides be produced, the angles upon the other side of the base are also equal.* Let ABC be an isosceles triangle,... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...angle ABC to the angle DEF, and the angle ACB to the angle DFE. PHOPOSITION V. THEOREM. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. Let ABC be an isosceles... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...to which the equal sides are opposite, shall be equal, each to each. V PROP. V. THEOR. f The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced, tfa angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle,... | |
| George Augustus Addison - Anglo-Indian literature - 1837 - 372 pages
...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, by not being able... | |
| Edward Tagart - Logic - 1837 - 156 pages
...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, Rome, are... | |
| Euclides - 1838 - 264 pages
...are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle,... | |
| Robert Simson - Geometry - 1838 - 434 pages
...are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle,... | |
| Olinthus Gregory - Euclid's Elements - 1840 - 204 pages
...need not have been placed here. (c.) In the demonstration of prop. 15, let the words, " the angles at the base of an isosceles triangle are equal to one another ; and," be omitted ; they are superfluous. ing my views as to the best method of teaching the doctrine of proportion.... | |
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