| Euclid, James Thomson - Geometry - 1845 - 352 pages
...equal.* Wherefore, if through any point, &c. PROP. XLIV. PROB. — To a given straight line to applyt **a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given** angle. Let AB be a given straight line, C a given triangle, and D a given angle. It is requiredto apply... | |
| Euclides - 1845
...a parallelogram and a triangle, &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. Let** ABC be the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
| Euclid - Geometry - 1845 - 199 pages
...parts ; wherefore ABCD is also B '.'. PROPOSITION XLII. PROB. — 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... | |
| Euclides - 1846
...triangle EBC. Wherefore, If a parallelogram 8;c. QED PROP. XLII. PROB. 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 parallelots.... | |
| John Playfair - Euclid's Elements - 1846 - 317 pages
...therefore the remaining complement BK is equal to the remaining complement KD. PROP. XLIV. PROB. To a given **straight line to apply a parallelogram, which shall...equal to a given triangle, and have one of its angles** ejuat to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and... | |
| Dennis M'Curdy - Geometry - 1846 - 138 pages
...p. 34 ; (c) ax. 7. 42 P. To describe a parallelogram that shall be equal to a given triangle (ABC,) **and have one of its angles equal to a given rectilineal angle** (D). Bisect BC in E (a) ; join AE, and at the point E, in the straight line EC, make the angle CEF... | |
| Euclides - 1847
...other. It will be advisable for the student to demonstrate these Fig. 2. PROP. XLIV. PROB. To a given **straight line to apply a parallelogram, which shall...of its angles equal to a given rectilineal angle.** PART. ENUN. — Let AB be the gn. st. line, c the gn. A, D the gn. rectilineal Z; then it is required... | |
| Euclides - 1848
...about the diameter of any parallelogram, are equal to one another. PROP. XLIV. PROBLEM. To a given **straight line to apply a parallelogram, which shall...of its angles equal to a given rectilineal angle.** PROP. XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having an... | |
| J. Goodall, W. Hammond - 1848
...equal bases and between the same parallels are equal to one another. 2. Describe a parallelogram that **shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.** 3. Prove that if the square described upon one of the sides of a triangle be equal to the squares described... | |
| Euclides, Thomas Tate - 1849 - 108 pages
...triangle BBC. Therefore if a parallelogram, &c. QED PROP. XLII. PROB. 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... | |
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