| Euclid, Isaac Todhunter - 1883 - 428 páginas
...parallelogram &c. QBD EUCLID'S ELEMENTS. PROPOSITION 42. 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. Let ABC be the given triangle, and D the given rectilineal angle : it is required to describe a parallelogram... | |
| Joseph Hughes - 1883 - 568 páginas
...two triangles are equal in every respect, and AC = CD. QEF 3. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. See Prop. 42, Bk. I. Algebra. MALES. (Pupil teachers are expected to show that they have learnt the... | |
| 1883 - 654 páginas
...triangles are equal in every respect, and AC = CD. QET-. 3. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. See Prop. 42, Bk. I. Algebra. MALES. (Pupil teachers are expected to show that they have learnt the... | |
| Euclides - 1883 - 176 páginas
...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 páginas
...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... | |
| F. B. Stevens - 1884 - 202 páginas
...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.) - 1884 - 154 páginas
...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... | |
| Euclides - 1884 - 214 páginas
...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... | |
| University of Cambridge - 1884 - 624 páginas
...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 páginas
...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... | |
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