 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...angle ACB to the angle DFE. Wherefore, if two triangles &c. QED PROPOSITION 5. THEOREM. T/te angles at the base of an isosceles triangle 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. Let ABC be an isosceles... | |
 | Education Ministry of - 1880 - 238 pages
...EUCLID. Capital letters, and not numbers, must be used in the diagrams. 1. The angles at the base or an isosceles triangle 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. Draw a straight... | |
 | Alfred Milnes - 1880 - 140 pages
...(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... | |
 | Sir Norman Lockyer - Electronic journals - 1880 - 668 pages
...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... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...equal to one side of the other, the squares are equal in all respects. PROP. V. THEOREM. 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. Let ABC be an isosceles triangle,... | |
 | John Herbert Williams - 1881 - 90 pages
...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... | |
 | Samuel Earnshaw - Differential equations, Partial - 1881 - 602 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 - Mathematics - 1881 - 488 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... | |
 | Education, Higher - 1883 - 536 pages
...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... | |
 | Marianne Nops - 1882 - 278 pages
...and/ ACB „ „ zDFE Wherefore if two triangles &c. — QED PROPOSITION V., THEOREM 2. The angles at the base of an isosceles triangle 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. Let ABC be an isosceles... | |
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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. 
