 | 1852 - 316 σελίδες
...every triangle is opposite the greater angle. 3. 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 * Riven rectilineal angle. SECTION II. 1. If a straight line be divided into any two parts, the square... | |
 | 1852 - 512 σελίδες
...us many right angles as the figure has sides. 3. To a given straight line to apply a parallelogram which shall be equal to a given triangle, and have...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, and of... | |
 | Euclides - 1852 - 152 σελίδες
...Wherefore the complements, &c. QED PROP. XLIV. PROB. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have...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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...complements, etc. (i. ED PROPOSITION XLIV. PROB. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have...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 - 176 σελίδες
...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 - 1853 - 146 σελίδες
...Wherefore, the complements, &c. QED PROP. XLIV. PEOBLEM. 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 Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It... | |
 | Euclides - 1853 - 334 σελίδες
...FEKD. Which was to be proved. PEOP. XLIV. PEOB. 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 angle. Let AB be the given straight line, c the given triangle, and D the given angle. It is required... | |
 | Euclid - 1853 - 176 σελίδες
...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... | |
 | 1855 - 264 σελίδες
...the ba sides equal to the the base of the other. 3. To a given straight line to apply a parallelogram which shall be equal to a given triangle, and have...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 be equal... | |
 | Robert Potts - 1855 - 1050 σελίδες
...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 within... | |
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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. 
