| Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...242. PROBLEM i6.x TO defcribe a Parallelogram 1£'20' that ßall be equal to a given Triangle ABC, **and have one of its Angles equal to a given Angle D.** \ » zz6. CONSTRUCTION. Bifect a BC in E, (and join AE) and at the Point E, in the Line EC, make the... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...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 a given triangle,** and have one of its angles equal to a given rectilineal angle. Let AB be the given straight line, and... | |
| John Playfair - Mathematics - 1806 - 320 pages
...complement KD. Wherefore, the complements, &c. QED ' ' ' PROP, XLIV. PRQB, 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 angle. Let AB be the given straight line, and... | |
| John Mason Good - 1813 - 714 pages
...diameter of any parallelogram, arc equal to one another. Prop. XLIV. 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 rectilineal angle. Prnp. XLV. Prob. To describe a parallelogram... | |
| Euclides - 1816 - 588 pages
...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 a given triangle,** and have one of its angles equal to a given rectilineal angle. Let AB be the given straight line, and... | |
| John Playfair - 1819 - 354 pages
...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 a given triangle,** and have one of its angles equal to a given rectilineal anglef Let AB be the given straight line, and... | |
| Euclid - 1822 - 222 pages
...be demonstrated that EK is a square. PROP. XLIV. PROB. Fig. 64. See 2f. To a given right line ( OS) **to apply a parallelogram, which shall be equal to a given triangle** and have an angle equal to a given one ( V). Let the given triangle be GHO, one of whose sides GO and... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...complement KD. Wherefore the complements, &c. QED Proposition XLIV. Problem. 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 angle. Let AB be the given straight line, and... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...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 a given triangle,** and have one of its angles equal to a given rectilineal angle. Let AB be the given straight line, and... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...whole parallelogram ; for each has an angle in common with it (152). PROPOSITION XLIV. PROBLEM. (198) **To a given right line (AB) to apply a parallelogram...have one of its angles equal to a given angle (D).** Solution. Construct the parallelogram BEFG equal to the given triangle C, and having the angle B equal... | |
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