| Euclides - 1847
...within the 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,...have one 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... | |
| Euclides - 1848
...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,...have one of its angles equal to a given rectilineal** angle. PROP. XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having... | |
| 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... | |
| Euclid, Thomas Tate - 1849 - 108 sider
...complement BK is equal to the remaining complement KD. Wherefore the complements, 8tc. QED PROP. XLIV. PROB. **To a given straight line to apply a parallelogram,...have one 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.... | |
| Great Britain. Committee on Education - 1850
...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 one 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... | |
| 1852
...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... | |
| 1867
...opposite ones are eqnal, the trapezium has two of its opposite sides parallel. 2. To a given straight line **apply a parallelogram, which shall be equal to a given...have one of its angles equal to a given rectilineal** mi 'Jr. Describe a rhombus equal to a given quadrilateral figure. 3. If the square described upon one... | |
| 1851
...the line on which they stand, ...... 2. To a given straight line to apply a parallelo— 18 1 gram, **which shall be equal to a given triangle, and have one of its angles equal to a given** angle, 8. If a straight line be divided into any two parts, — 12 C the rectangles contained by the... | |
| Euclides - 1852
...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,...have one 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.... | |
| 1852
...together with four right angles, are equal to twice us many right angles as the figure has sides. 3. **To a given straight line to apply a parallelogram...have one of its angles equal to a given rectilineal** angle. SECTION II. — 1. If a straight line be divided into any two parts, the squares of the whole... | |
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