| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 544 pages
...each has an angle in common with it (152). PROPOSITION XLIV. PROBLEM. (198) To a given right line (AB) **to apply a parallelogram which shall be equal to a given triangle** (C), and have one of its angles equal to a given angle (D). Solution. Construct the parallelogram BEFG... | |
| Euclid, Robert Simson - Geometry - 1829 - 548 pages
...remaining complement BK is equal to the remaining complement KD. Wherefore the complements, &c. QED **PROP. XLIV. PROB. To a given straight line to apply a parallelogram, which shall** he equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let AB... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...remaining complement BK is equal to the remaining complement KD. Wherefore, the complements, &c. QED **PROP. XLIV. PROB. To a given straight line to apply a parallelogram, which shall be equal to** u given triangle, and have one of its angles equal to u given rectilineal angle. Let AB be the given... | |
| John Playfair - Euclid's Elements - 1833 - 346 pages
...is equal to the remaining complement KD. Wherefore, the complements, &c. QED PROP. XLIV. PROB. jf 0 **a given straight line to apply a parallelogram, which...of its angles equal to a given rectilineal angle,** Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It... | |
| Euclides - 1834 - 518 pages
...equal t to the remaining complement KD. Wherefore, the complements, &c. QED PROPOSITION XLIV. PROR. — **To a given straight line, to apply a parallelogram...of its angles equal to a given rectilineal angle,** Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle ; it... | |
| Euclid - 1835 - 540 pages
...remaining complement BK is equal to the remaining complement KD. Wherefore, " the complements," &c. QED **PROP. XLIV. PROB. To a given straight line to apply...of its angles equal to a given rectilineal angle.** Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It... | |
| John Playfair - Euclid's Elements - 1835 - 336 pages
...construction will apply to the problem : to make a triangle equivalent to a given rectangle. PROP. XV. **PROB. To a given straight line to apply a parallelogram, which shall be** equivalent to a given triangle, and have one of its angles equal to a given rectilineal angle. Let... | |
| John Playfair - Euclid's Elements - 1836 - 488 pages
...BK is equal to the remaining complement KD. Wherefore, the complements, &c. QED / PROP. XLIV. PROS. **To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle.** Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It... | |
| Mathematics - 1836 - 366 pages
...centre from their common diameter is equal to twice its radius. 39. Define a parallelogram. Describe one **which shall be equal to a given triangle, and have...of its angles equal to a given rectilineal angle.** 40. Describe a square about a given circle. SECTION II. QUESTIONS IN ARITHMETIC AND ALGEBRA, NOT INCLUDING... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...to the whole ADC ; therefore the remaining complement BK is equal to 'the remaining complement KD. , **PROP. XLIV. PROB. To a given straight line to apply...of its angles equal to a given rectilineal angle.** Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It... | |
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