| Euclides - 1845 - 544 pages
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QEM PROPOSITION XLIV. PROBLEM. **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, James Thomson - Geometry - 1845 - 380 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 - 1846 - 292 pages
...equal to the remainder, the complement KI). Wherefore, The complements <J«, 4, EB PROP. XLIV. PROD. **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, John Playfair - Euclid's Elements - 1846 - 332 pages
...equal 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...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 - 166 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... | |
| Euclid - 1848 - 52 pages
...parallelograms, which are about the diameter of any parallelogram, are equal to one another. PROP. XLIV. PROBLEM. **To a given straight line to apply a parallelogram,...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 - 388 pages
...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... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...remaining complement BK is equal to the remaining complement KD. Wherefore the complements, 8tc. 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... | |
| Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...two sides terminated at the other extremity. 2. To a given straight line to apply a ]>aral!t'logram **which shall be equal to a given triangle, and have...of its angles equal to a given rectilineal angle.** Section 2. 1. If a straight line be bisected and produced to any point, the rectangle contained by... | |
| 1852 - 314 pages
...terminated at the other extremity. 2. The greater side of every triangle is opposite the greater angle. 3. **To a given straight line to apply a parallelogram,...given triangle, and have one of its angles equal to** * Riven rectilineal angle. SECTION II. 1. If a straight line be divided into any two parts, the square... | |
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