| Dennis M'Curdy - 1846 - 138 sider
...taken is a portion of space, to which each of the triangles is applied. 5 Th. The angles (ABC, ACB), **at the base of an isosceles triangle, are equal to one another ; and if the equal sides** (AB, AC,) be produced (to D and E), the angles (BCE, CBD,) below the base (BC^ shall be equal. Constr.... | |
| Great Britain. Admiralty - 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... | |
| Great Britain. Admiralty - 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... | |
| Euclides - 1847
...Perspective. PROP. V. THEOR. GEN. ENUN. — 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.** PART. ENUN. — Let ABC be an isosc. A, of which the side AB = side AC (Def. 24) ; and let the st.... | |
| 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...angles upon the other side of the base shall be equal.** COR. Hence every equilateral triangle is also equiangular. PROP. VI. THEOREM. If two angles of a triangle... | |
| Euclid, Thomas Tate - 1849 - 108 sider
...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...Let ABC be an Isosceles triangle, of which the side** ,48 is equal to AC, and let the straight lines AB, AC be produced to D and E, the angle ABC shall be... | |
| Elias Loomis - 1849 - 226 sider
...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... | |
| 1852
...though made for time, survives for aye, And, though it hath beginning, sees no end." . III. 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 are also equal. IV. In any right-angled triangle the square of the side... | |
| Euclides - 1852
...unless it be possible for two straight lines to enclose a space.] c 2 BOOK I. PEOP. 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, B, the angle ABC shall be equal... | |
| |