| Euclid, James Thomson - Geometry - 1837 - 390 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...produced, the angles upon the other side of the base** are also equal.* Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the... | |
| Euclides - Euclid's Elements - 1837 - 88 pages
...directions in Euclid. PROPOSITION V. Theorem. The angles at the base of an isosceles triangle are equal ; **and if the equal sides be produced, the angles upon the other side of the base shall be equal.** Steps of the Demonstration. f base BG = base CF 1. Prove that in A AGB< Z ABG= Z ACF }of A AFC, 9.... | |
| John Playfair - Geometry - 1837 - 318 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, of which... | |
| Edward Tagart - Logic - 1837 - 135 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... | |
| George Augustus Addison - English literature - 1837 - 339 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... | |
| Euclides - 1838
...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...be an isosceles triangle, of which the side AB is** equal to AC, and let the straight lines AB, AC be produced to D and E : the angle ABC shall be equal... | |
| Euclid, Robert Simson - Geometry - 1838 - 416 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...be an isosceles triangle, of which the side AB is** equal to AC, and let the straight lines AB, AC be produced to D and E. the angle ABC shall be equal... | |
| Olinthus Gregory - Euclid's Elements - 1840 - 188 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.... | |
| Euclides - Geometry - 1841 - 351 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...be an isosceles triangle, of which the side AB is** equal to AC, and let the straight lines AB, AC, be produced to D and E: the angle ABC shall be equal... | |
| Euclides - 1842
...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...be an isosceles triangle, of which the side AB is** equal to AC, and let the straight lines AB, AC be produced to D and E ; the angle ABC shall be equal... | |
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