| Sir Norman Lockyer - Electronic journals - 1880
...Theorem VI. of the syllabus, which is the same as as Proposition V. of Euclid, namely, "The angles **at the base of an isosceles triangle are equal to one another,"** the syllabus suggests a different demonstration from that of Euclid. The extreme complication of the... | |
| Alfred Milnes - 1880
...(Wilson, I. 22). 56. Also for Euc. I. 39 (Wilson, II. 4). 57. Also for Euc. I. 40. 58. " The angles **at the base of an isosceles triangle are equal to one another."** Express this as an hypothetical proposition, and when so expressed, convert it. 59. Are the enunciations... | |
| John Herbert Williams - 1881
...eveo-Ti фam's, A. 5). — Winkelmann. «*» Five lines. The angles at (тгepi) the base (insert ye) **of an isosceles triangle are equal to one another ; and if the equal sides** ('the sides themselves') be produced (fxr¡Kvvш, fut. pass.), then the angles also on-the-otherside-of... | |
| John Gibson - 1881
...your answer to it, or no marks will be awarded. 1. The angles at the base of an isosceles triangle FGH **are equal to one another ; and if the equal sides be produced, the angles** on the other side of the base shall be equal to one another. 2. At a given point P in a given straight... | |
| Samuel Earnshaw - Differential equations, Partial - 1881 - 108 pages
...vol. 1. 1C5 ; n. 5t, 9G, 1-1") ; Diogenes Laertius lib. I. cap. I. §§8, 6. diameter. (2) The angles **at the base of an isosceles triangle are equal to one another.** (3) When two straight lines cut one another the vertical angles are equal. (4) A method of determining... | |
| Charles Taylor - Conic sections - 1881 - 384 pages
...1. 163 ; II. 54, 9:3, 1 H) ; Diogenes Laertius lib. I. cap. I. §§ 3, 6. diameter. (2) The angles **at the base of an isosceles triangle are equal to one another.** (3) When two straight lines cut onfe another the vertical angles are equal. (4) A method of determining... | |
| Euclides - 1881
...sides oj a triangle be equal to one. another, the angles which are opposite to the equal sides, are aim **equal to one another ;" and If the equal sides be produced, the** anglet upon the other side of the base shall likewise be equal. PROP. VI. THEOREM. If two angles of... | |
| Herbert Spencer - 1881
...the abstract terms are forthwith abandoned, and the proposition is re-stated in a concrete form. " **Let ABC be an isosceles triangle, of which the side AB is** equal to the side AC ; then the angle ABC shall be equal to the angle AC B." By a series of steps which... | |
| Education, Higher - 1883
...straight line, or divide it into two equal parts. 3. Show by the method of superposition that the angles **at the base of an isosceles triangle are equal to one another.** 4. Triangles on the same base and between the same parallels are equal. 5. Distinguish clearly between... | |
| Mary W I. Shilleto - 1882
...advised not to confine themselves to one paper, but to make use of the whole set. (a) 1. The angles **at the base of an isosceles triangle are equal to...angles upon the other side of the base shall be equal.** In Euclid's figure for this proposition, if BG, CF meet in H, show that AH bisects the angle BAG. 2.... | |
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