 | Oxford univ, local exams - 1885 - 358 pages
...between the points of section, is equal to the square on half the line. 7. To a given straight line apply a parallelogram, which shall be equal to a given...of its angles equal to a given rectilineal angle. 8. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... | |
 | Education - 1885 - 630 pages
...and a half allowed. Euclid. HALES. [All generally understood abbreviations for words may be used.] triangle, and have one of its angles equal to a given rectilineal angle. Euclid, Book I., Prop. 44. 2. If a straight line be divided into any two parts, the squares on the... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...c/AC, BD, EF are collinear. \ / /' \ /.-- S ^7 \ PROP. XLIV.— PROBLEM. To a given right 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). Sol. — Construct the parallelogram BEFG... | |
 | Euclides - 1885 - 340 pages
...of AC, BD, EF are collinear. AC, BD, EF of y 6:', PEOP. XLIV.— PKOBLEM. To a given right 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). Sol. — Construct the parallelogram BEFG... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...another, and likewise those which are terminated in the other extremity. 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. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...upon the opposite sides intersect in F. Show that FE is equal to EC. 3. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given angle. 4. If a straight line be divided into any two parts, the rectangle contained by the whole and... | |
 | New Brunswick. Board of Education - Education - 1889 - 1004 pages
...given straight lines, any two of which are greater than the third. 3. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles, equal to a given angle. 4. Divide a given line into two parts, so that the rectangle contained by the whole and one... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...parallelograms about the diameter may be equivalent as well as the complements ? 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 st. line, C the given A, and D the given rectl. L ; it is required to apply to... | |
 | Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...Construct a triangle, having given the three linen drawn from the angles to bisect the sides opposite. 5. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. G. If a straight line be divided into any two parts, the square on the whole line is equal to the squares... | |
 | Euclid - Geometry - 1890 - 442 pages
...DCP. Whence, by reason of the two former lines, we get a AP = a CP: 46 Proposition 44. PROBLEM — To a given straight line to apply a parallelogram,...which shall be equal to a given triangle, and have an angle equal to a given angle. DC Let AB be the given line ; P given A ; and O given A . FA Construct... | |
| |
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. 
