| Euclides - 1865 - 402 pages
...a given triangle, and have one of its angles equal to a given rectilineal angle ......... I. 42. 2. **To a given straight line to apply a parallelogram,...one of its angles equal to a given rectilineal angle** . . . . . .1. 44. 3. To describe a parallelogram equal to a rectilineal figure, and having an angle... | |
| Architecture - 1865 - 276 pages
...parallels are equal to one another. Shew this is equally true of triangles. 4. Prop. 44. — Problem. **To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle.** Book 2. 5. What is the definition of the gnomon of a parallelogram ? 6. Prop. 12. Theorem. In obtuse... | |
| Robert Potts - 1865 - 528 pages
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QED 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... | |
| John Playfair - Geometry - 1855 - 358 pages
...the whole ADC ; therefore the remaining complement BK is equal to the remaining complement K DPROP. **XLIV. PROB. To a given straight line to apply a parallelogram,...equal to a given triangle, and have one of its angles** ejual to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and... | |
| Civil service - 1866 - 270 pages
...each, and also the third angle of the one to the third angle of the other. 2. To a given straight line **apply a parallelogram, which shall be equal to a given...of its angles equal to a given rectilineal angle.** 3. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...remainder, the complement KD. [Axiom 3. Wherefore, the complements &c. QED PROPOSITION 44. 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... | |
| 1867 - 224 pages
...whole and one of the parts may be equal to the square on the other part. 9. To a given straight line **apply a parallelogram, which shall be equal to a given...of its angles equal to a given rectilineal angle.** 10. If a straight line be bisected, and produced to any point, the rectangle contained by the whole... | |
| Robert Potts - 1868 - 434 pages
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QED PROPOSITION XLIV. PROBLEM. **To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle.** Let AB be th« given straight line, and Cthe given triangle, and D the given rectilineal angle. It... | |
| Edward Atkins - 1874 - 428 pages
...&c. QED Proposition 44. — Problem. To a given straight line to apply a parallelogram, which thall **be equal to a, given triangle, and have one of its angles equal to a given rectilineal angle.** GEOMETRY. Make paralleloI.Tam BEFG = A < ', and / at li = i D, and EBAa straight line. HBandFE meet.... | |
| 1874 - 682 pages
...and of the square on the line made up of the half and the part produced. 2. To a given straight line **apply a parallelogram which shall be equal to a given triangle, and** hare one of its angles equal to a given rectilineal angle. 3. Given the area of a circle equal to 5... | |
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