 | Euclides - 1874 - 342 Seiten
...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...triangle of which the side AB is equal to AC, and let the equal sides AB, AC be produced to D and E. Then the angle ABC shall be equal to the angle ACS, and... | |
 | Euclides - 1874 - 120 Seiten
...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...another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. * Let ABC be an isosceles triangle, having... | |
 | Edward Atkins - 1874 - 428 Seiten
...have, &c. (see Enunciation). Which was to be showm. Proposition 5.— Theorem. The angles at the bose of an isosceles triangle are equal to one another ; and if the equal sides be produced, tlie angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle,... | |
 | Francis Cuthbertson - 1874 - 400 Seiten
...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; also let the equal sides... | |
 | Robert Jardine - 1874 - 338 Seiten
...soon decide the question. From a comparison of certain angles and triangles we infer — " The angles at the base of an isosceles triangle are equal to one another." This is certainly not a relation of inclusion, either total or partial. From a variety of considerations,... | |
 | L J V. Gerard - 1874 - 428 Seiten
...II. The angles of a scalene triangle, are unequal to each other. THEOREM 8. (Eucl. I. 5.) The angles at the base of an isosceles triangle, are equal to one another. Let the sides AB and BC of the triangle ABC be equal to each other. Let BD he the bisectrix of the... | |
 | Joseph Hamilton - 1875 - 126 Seiten
...else, the conclusion that they are equal to each other is absolutely unimpeachable. Again ; the angles at the base of an isosceles triangle are equal to one another. There are several steps in this argument, and many appeals to facts previously established ; but if... | |
 | Euclides, James Hamblin Smith - 1876 - 376 Seiten
...Book I. give good examples of symmetrical constructions. NOTE 11. Euclid's Proof of J. 6. The angles at the base of an isosceles triangle are equal to...the other side of the base shall be equal. Let ABC lie an isosceles A, having AB— 4C Produce AB, AC to D and E. Then must L ABC= L ACB, and L DBC= L... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 Seiten
...Book I. give good examples of symmetrical constructions. NOTE 11. Euclid's Proof of 1. 5. The, angles at the base of an isosceles triangle are equal to...upon the other side of the base shall be equal. Let ABCloe an isosceles A, having AB= 4O Produce AB, AC to D and R Then must L ABC= L ACB, and L DBC= i... | |
 | Edward Atkins - 1876 - 130 Seiten
...have, &c. (see Enunciation). Which was to be shown. Proposition 5.— Theorem. Tlie angles at the bose of an isosceles triangle are equal to one another...produced, the angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle, of which the side AB is AB = AC. equal to the side... | |
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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. 
