 | Education - 1882 - 676 pages
...memory the substance of the passage read to you by the Inspector. Euclid. 290 THE PRACTICAL TEACHER. 291 2. The complements of the parallelograms, which are...of any parallelogram, are equal to one another. 3- Through a given point A draw a line, so lhat the perpendiculars upon it from two other given points... | |
 | College of preceptors - 1882 - 528 pages
...triangle equal to a given triangle, and having one of its angles equal to a given rectilineal angle. 6. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. Enunciate, without its demonstration, the subsequent proposition, for proving which the one set in... | |
 | 1883 - 248 pages
...straight lines towards the same parts, are also themselves equal and parallel. (This is Euclid I., 33.) 3. The complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. (Euclid I., 43.) F1. — Algebra. Answer two Questions. = (a* — 1) (x* 1. Prove that — (ax - y<)... | |
 | Free Church of Scotland. College Committee - Theological seminaries - 1882 - 142 pages
...angles ; and the three interior angles of every triangle are together equal to two right angles. 3. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. 4. To divide a given straight line into two parts, so that the rectangle contained by the whole and... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...construction shall make the required angle with the least of the two sides of the given triangle. 3. The complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. What is the greatest value which these complements can have for a given parallelogram ? 4. If a straight... | |
 | Marianne Nops - 1882 - 278 pages
...ABC.— QED I. 43. We pass on to a theorem which is necessary for the solution of the next problem. ' The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another.' The ' parallelograms about the diameter ' of any parallelogram are those whose diameters consist of... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...to the given angle D. [Construction. PROPOSITION 43. THEOREM. The complements of the parallelogramt which are about the diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the diameter is AC; and EH, GF parallelograms about AC, that... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...parallel to BC, and BE be drawn to bisect the angle ABC and meet DE in E, AEB will be a right angle. 3. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. If A BCD be a parallelogram, and from K, a point on the diagonal AC, EKF be drawn parallel to AD to... | |
 | Euclides - 1884 - 182 pages
...ADC. 8. By what axiom may these remainders be shown to be equal ? 94. PROPOSITION XLIII. — THEOREM. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. Let ABOD be a parallelogram, of which the diameter is AC; and EH, GF the parallelograms about AC, that... | |
 | Palaestra Oxoniensis - 1884 - 204 pages
...equal bases, in tfte same straight line and towards the same parts, are between the same parallels. (8) The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. (9) To a given straight line apply a parallelogram equal to a given triangle and having an angle equal... | |
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The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 
