| Euclides - 1883 - 176 pages
...bisects the parallelogram. PROP. 44. PROB. To a given straight line to apply a parallelogram which shall **be equal to a given triangle, and have one of its angles equal to a given** angle. HD Given AA, L. B, and st. line CD. To apply to CD a parallelogram (ie, so that CD shall be... | |
| Stewart W. and co - 1884 - 272 pages
...B c parts ; wherefore ABCD is also double of EBC. XLII. — To describe a parallelogram that shall **be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let** ABC be the given triangle, and D the given rectilineal angle. Bisect BC in E, join AE, and at the point... | |
| Euclides - 1884 - 214 pages
...Therefore, if a parallelogram &c. QED PROPOSITION XLII. PROBLEM. To describe a parallelogram that shall **be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.** GIVEN tlie triangle ABO and the rectilineal angle D; IT is REQUIRED TO DESCRIBE a parallelogram equal... | |
| F. B. Stevens - Examinations - 1884 - 202 pages
...the two straight lines shall be parallel to one another. 2. To describe a parallelogram that shall **be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.** 3. If a straight line be divided into any two parts, the squares on the whole line, and on one of the... | |
| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1884 - 154 pages
...let fall upon it from the opposite angle, and the acute angle. 4. Describe a parallelogram that shall **be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.** 5. In any right-angled triangle, the square described on the side subtending the right angle is equal... | |
| University of Cambridge - 1884 - 624 pages
...sides and angles of parallelograms are equal to one another. 4. Describe a parallelogram that shall **be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.** 5. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... | |
| Education - 1884 - 708 pages
...same parallels. Prop. 39, Bk. I. 3. To a given straight line to apply a parallelogram, which shall **be equal to a given triangle, and have one of its angles equal to a given rectilineal** ancle. Prop. 44, Bk. I. Algebra. MALES. Answer two questions. I. When a = 3, ¿ = 7, find the value... | |
| Euclides - 1884 - 182 pages
...diameter divides it into two equal parts. (9) 9 . Show how to describe a parallelogram which shall **be equal to a given triangle, and have one of its angles equal to a given** rectilinear angle, and prove your construction. (10) 10. In a right-angled triangle, show that the... | |
| Euclides - 1884 - 434 pages
...of any ||m equal in every respect ? On a given straight line to describe a parallelogram which shall **be equal to a given triangle, and have one of its angles equal to a given** angle. FEK Let AB be the given straight line, C the given triangle, and D the given angle : it is required... | |
| Stewart W. and co - 1884 - 146 pages
...times as great as the base WY. QEF 2. (a) To a given straight line to apply a parallelogram which shall **be equal to a given triangle and have one of its angles equal to** that of the given triangle. (a) See Euclid I., proposition 44. (b) Let KLO be an equilateral triangle.... | |
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