 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...Ax.) to the remaining complement KD. Wherefore the complements, etc. (i. ED PROPOSITION 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, C the given triangle, and D the given rectilineal angle.... | |
 | 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... | |
 | 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... | |
 | William Somerville Orr - Science - 1854 - 534 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... | |
 | 1855 - 264 pages
...which eir two sides terminated at one extremity of the ba sides equal to the the base of the other. 3. To a given straight line to apply a parallelogram...have one of its angles equal to a given rectilineal angle. of the whole line is equal between the points of section. 3. To describe a square that shall... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...other, the base of that which has the greater angle shall be greater than the base of the other. 3. To a given straight line to apply a parallelogram...have one of its angles equal to a given rectilineal angle. Section 2. 1. If a straight line be divided into any two parts, the square of the whole line... | |
 | Robert Potts - 1855 - 1050 pages
...line, and of the square of the line between the points of section. 11. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 13. Describe a square that shall be equal to a given rectilineal figure. 14. If a point be taken... | |
 | John Playfair - Euclid's Elements - 1855 - 340 pages
...remaining complement KD. PROP. XLIV. PROB. To a given straight line to apply a parallelngram,which shall be equal to a given triangle, and have one of its angles ejual to a given rectilineal angle. Let AB he the given straight line, and C the given triangle, and... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...the base are equal. 2. Parallelograms upon the same base and between the same parallels are equal. 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 square of the whole... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...exterior angle is greater than either of the interior opposite angles. 4. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Is this a determinate problem? 6. If a straight line be divided into two equal parts, and also... | |
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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. 
