| 1846
...COR.—Hence every equilateral ^±» is also equiangular. PROP. V. THEOR. OTHERWISE DEMONSTRATED. The angles **at the base of an isosceles triangle are equal to one another.** Let ABC be an isosc. Z\, having the side AB = side AC; then will L ABC = L ACB. A Let the str. line... | |
| 1846
...&c. COR.—Hence every equilateral equiangular. PROP. V. THEOR. OTHERWISE DEMONSTRATED. The angles **at the base of an isosceles triangle are equal to one another.** Let ABC be an isosc. /£\, having the side AB = side AC; then will L ABC = L ACB. Let the str. line... | |
| 1847
...each of them is called a straight line." Now this is true enough ; and so is it true that " the angles **at the base of an isosceles triangle are equal to one another** ;" but the latter he thinks worthy of a labored demonstration. Many a poor wight would have thanked... | |
| Euclides - 1848
...equal, each to each, viz. those to which the equal sides are opposite. PROP. V. 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 be equal. COR. Hence every equilateral triangle is also equiangular.... | |
| J. Goodall - 1848
...from a given point in it. 3. 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.** SECTION II. 1. Prove that the sum of the three angles of a triangle equals two right angles. Given... | |
| George Moody - 1848
...Geometry," &c. page 21. 3. 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.** — See " Bell's Euclid," prop. v. book i. ; or " Tate's Geometry," &c. arts. 18 and 27SECTION 2. 1.... | |
| Great Britain. Council on Education - 1848
...superficies, and a circle. 3. 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.** Section 2. 1. Prove that the sum of the three angles of a triangle equals two right angles. Given the... | |
| Great Britain. Committee on Education - 1848
...point within it. 3. The angles at the base of an isosceles triangle are equal to each other, and if tho **equal sides be produced the angles on the other side of the base shall be equal.** Section 2. 1. Prove that the sum of the three angles of a triangle equals two right angles. Given the... | |
| Euclides - 1849
...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...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 the side... | |
| Elias Loomis - 1849 - 226 páginas
...are BA, AC greater than BD, DC. Therefore, if from a point, &c. PROPOSITION X. THEOREM. The angles **at the base of an isosceles triangle are equal to one another.** Let ABC be an isosceles triangle, of which the side AB is equal to AC; then will the angle B be equal... | |
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