 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.  An Introduction to Logic - Page 505by Horace William Brindley Joseph - 1906 - 564 pagesFull view - About this book
 | 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... | |
 | 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.... | |
 | 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... | |
 | 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... | |
 | Euclides - Geometry - 1841 - 378 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... | |
 | Euclides - 1842 - 316 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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...angles, to which the equal sides are opposite, shall be equal, each to each. PROP. V. THEOR. The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced, tfte angles upon the other side of the base shall be equal. Let ABC... | |
 | 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... | |
 | Education - 1844 - 688 pages
...circle and the centre of a circle. What do you understand by an angle in a segment ? 2. The angles at the base of an isosceles triangle are equal to one another ; and if tbe equal sides be produced, the angles upon the other side of the base shall be equal. 3. If from... | |
 | Church schools - 1844 - 456 pages
...same plane with it, are observed ; to find the distance between them. 1842. GEOMETRY. 1. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced, the angles on the other side of the base are equal. 2. Give different... | |
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