| Euclides - 1884 - 214 pagine
...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... | |
| John Robertson (LL.D., of Upton Park sch.) - 1884 - 154 pagine
...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 pagine
...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... | |
| 1884 - 708 pagine
...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 pagine
...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 pagine
...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 pagine
...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.... | |
| Oxford univ, local exams - 1885 - 358 pagine
...equal to the square on half the line. 7. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 8. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... | |
| 1885 - 630 pagine
...and a half allowed. Euclid. HALES. [All generally understood abbreviations for words may be used.] triangle, and have one of its angles equal to a given rectilineal angle. Euclid, Book I., Prop. 44. 2. If a straight line be divided into any two parts, the squares on the... | |
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