| 1867 - 336 pages
...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 - 382 pages
...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 - 152 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... | |
| Education - 1852 - 512 pages
...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...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 line,... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...is equal (3 Ax.) to the remaining complement KD. Wherefore the complements, etc. (i. ED PROPOSITION **XLIV. PROB. 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, C the given triangle, and D the given rectilineal angle. It is required... | |
| Euclides - 1853 - 146 pages
...BK is equal to the remaining complement KD. Wherefore, the complements, &c. QED PROP. XLIV. PEOBLEM. **To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal** Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It... | |
| Euclides - 1853 - 176 pages
...Therefore, if a parallelogram, <fee. QED PROPOSITION XLII. — PROBLEM. To describe a parallelogram that **shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.** LET abС be the given triangle, and d the given rectilineal angle. It is required to describe a parallelogram... | |
| Euclides - Geometry - 1853 - 334 pages
...and having one of its angles ABN equal to the given angle D. Which was to be done. PEOP. XLV. PEOB. **To a given straight line to apply a parallelogram which shall be equal to a given** polygon, and have an angle equal to a given angle. I. Let the polygon have four sides. Let AB be the... | |
| Euclid - Geometry - 1853 - 176 pages
...straight line (AB) to construct a parallelogram which shall be equal in area to a given triangle (C), **and have one of its angles equal to a given rectilineal angle** (D). SOLUTION. Produce AB to E, and upon BE construct a parallelogram BEFG equalin area to the triangle... | |
| William Somerville Orr - Science - 1854 - 532 pages
...equal, л the complements, &c. QED PROPOSITION XLIV.— PJIOBLEM, To a givenßnile straight 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). Make the parallelogram В F = triangle... | |
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