| University of Oxford - 1879 - 414 pàgines
...sector of a circle, a polygon. When is a straight line said to be ' placed in a circle ' ? 2. 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. 3. If a straight line be divided into... | |
| Euclides - 1879 - 146 pàgines
...theorem, some asserted geometrical property is to be demonstrated (or shown true), as ' the angles at the base of an isosceles triangle are equal to one another.' Thus in a problem there are data (things given) and quassita (things required) and a solution is sought... | |
| Edward Harri Mathews - 1879 - 94 pàgines
...Examinations. 1875-77. SUBJECT V. — PURE MATHEMATICS. GEOMETRY. Stage I. May 1875. 1. Prove that the angles at the base of an isosceles triangle are equal to one another. 2. Prove that any two sides of a triangle are together greater than the third. 3. Let ABC be three... | |
| Isaac Todhunter - 1880 - 426 pàgines
...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...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... | |
| T S. Taylor - 1880 - 152 pàgines
...sides equal. Repeat. — The enunciation of Euc. I. 4, and Axiom 3. General Enunciation. 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. The same, in tabular form. GIVEN. REQUIRED.... | |
| Education Ministry of - 1880 - 238 pàgines
...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 line perpendicular... | |
| Sir Norman Lockyer - 1880 - 668 pàgines
...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 - 140 pàgines
...(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... | |
| Herbert Spencer - 1881 - 756 pàgines
...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 need... | |
| John Gibson - 1881 - 302 pàgines
...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... | |
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