| Marianne Nops - 1882
...depends on the principles which we have just learnt. The first is to describe a parallelogram that shall **be equal to a given triangle and have one of its angles equal to a given** angle. First we must ask what do we know about the relations of parallelograms and triangles in point... | |
| College of preceptors - 1882
...is meant here by the word equal ? 6. On a given straight line describe a parallelogram which shall **be equal to a given triangle, and have one of its angles equal to a given** angle. Can all the angles of the parallelogram, be equal to this given angle ? 7. A straight line AH... | |
| Euclid, Isaac Todhunter - 1883 - 400 sider
...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...D the given rectilineal angle : it is required to** describe a parallelogram that shall be equal to the given triangle ABC, and have one of its angles... | |
| Joseph Hughes - 1883
...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
...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 - 96 sider
...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
...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...given triangle, and D the given rectilineal angle.** Bisect BC in E, join AE, and at the point E in the straight line EC make the angle CEF equal to D;... | |
| F. B. Stevens - 1884 - 175 sider
...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... | |
| Euclides - 1884
...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
...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... | |
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