 | 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... | |
 | 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,... | |
 | Euclides - 1852 - 152 pages
...triangle EEC. Therefore, if a parallelogram, &c. QED PROP. XLII. PROS. 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 ABC be the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
 | 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...EBC. Therefore, if a parallelogram, etc. QED PROPOSITION XLIL PROB. 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 ABC be the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
 | Euclides - Geometry - 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... | |
 | Popular educator - 1854 - 922 pages
...of its angla equal to a given rectilineal angle. In fig. 44, let A n be the given straight line, с the given triangle, and D the given rectilineal angle. It is required to apply to (that is, to describe upon) the straight line А в, а parallelogram equal to the triangle c, and... | |
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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... 
