 | Education, Higher - 1881 - 504 pages
...equal the one to the other. Bisect a parallelogram by a line drawn from a point in one of its sides. 6. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. If the complements be squares determine their relation to the whole parallelogram. 7. The square on... | |
 | Moffatt and Paige - 1881 - 176 pages
...and the remaining side, will form an equilateral triangle. 2. The complements of the parallelogram, which are about the diameter of any parallelogram, are equal to one another. ALGEBRA.. 1. Divide 189a;4-91x3j/-|-62xy- 13xy'+5yt by 27a;l2. Find the GCM of 7x!-23x+6 and 5z'-18z2... | |
 | Marianne Nops - 1882 - 278 pages
...parallelogram. In the second case the complements are trapeziums, not parallelograms. H SUMMARY OF PROPOSITION XLIII. THEOREM. The complements of the...diameter of any parallelogram are equal to one another. Cons. — Nil. The figure is divided into three equal pairs of triangles (I. 34). One of each of the... | |
 | 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... | |
 | 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<)... | |
 | 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... | |
 | Education - 1882 - 676 pages
...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 about...diameter 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... | |
 | 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... | |
 | 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 is. through which... | |
 | 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. Let ABCD be a parallelogram, of which the diameter is AC... 
