 | Edinburgh univ - 1871 - 392 σελίδες
...gain per cent. ? ELEMENTS OF MATHEMATICS AND ALGEBRA. Wednesday, 1<)th Of taber 1870. 1. The angles at the base of an isosceles triangle are equal to...another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. 2. In comparing two triangles, what things must... | |
 | Henry William Watson - 1871 - 320 σελίδες
...with the angle DEF, and therefore the angle ABC must be equal to the angle ACB, therefore the angles at the base of an isosceles triangle are equal to one another. Corollary 2. — If two triangles can be transferred so that their angles coincide each with each they... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...I. give good examples of symmetrical constructions. NOTE XL Euclid's Prop. V. of Book I. The angles at the base of an isosceles triangle are equal to...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 A, having AB = AC. Produce... | |
 | Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...That is parallelograms whose diagonals are parts of the diagonal of the square. See Book I., Prop. 43. 2. The angles at the base of an isosceles triangle are equal. (I. 5.) 3. If two angles of a triangle are equal, the sides opposite those angles are also equal. (I.... | |
 | Henry Major - 1873 - 588 σελίδες
...remaining angles of the other, and be equal to them, viz., ABC to DEF, and ACB to DFE. V. — The angles at the 'base of an isosceles triangle are equal to...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, of which AB is •... | |
 | Euclides - 1874 - 120 σελίδες
...another. 2. The diagonals of a square are equal to one another. PROPOSITION 5. THEOREM. The angles at the base of an isosceles triangle are equal to...angles on the other side of the base shall be equal to one another. * Let ABC be an isosceles triangle, having the ' • side AB equal to the side AC,... | |
 | Edward Atkins - 1874 - 426 σελίδες
...triangles have, &c. (see Enunciation). Which was to be shown. Proposition 5. — Theorem. The angles at the base of an isosceles triangle are equal to...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 triangle, of which the... | |
 | Francis Cuthbertson - 1874 - 400 σελίδες
...two of its sides equal. PROPOSITION II. The angles at the base of an isosceles triangle are equal; and if the equal sides be produced, the angles on the other side of the base shall be equal. Let ABC be an isosceles A , having the side AB = the side AC, then shall the i ABC be = the ^ A CB;... | |
 | Euclides - 1874 - 342 σελίδες
...PROPOSITION 5. — Theorem. The angles at the base of an isosceles triangle are equal to each other; and if the equal sides be produced, the angles on the other side of the base shall be equal. Let ABC be an isosceles triangle of which the side AB is equal to AC, and let the equal sides AB, AC... | |
 | Euclides - 1885 - 340 σελίδες
...after the student has read Prop. xxxu.) PROP. V.— THEOREM. The angles (ABC, ACB) at the base (BC) of an isosceles triangle are equal to one another, and if the equal sides (AB, AC) be produced, the external angles (DEC, ECB) below the base shall be equal. Dem. — In BD... | |
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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. 
