 | Royal college of surgeons of England - 1860 - 332 pages
...Prove also that the diameters of a parallelogram bisect each other. 7. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 8. If a straight line be divided into two equal parts, and also into two unequal... | |
 | War office - 1861 - 714 pages
...the other two sides of the triangle, but shall contain a greater angle. 2. To a given straight line apply a parallelogram which shall be equal to a given...triangle and have one of its angles equal to a given rectilineal angle. 4. The opposite angles of any quadrilateral figure inscribed in a circle are together... | |
 | Alexander Hadden Hutchinson - 1861 - 128 pages
...upon the other two sides of it the angle contained by these two sides is a right angle. 2. Describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. VOLÎTNTAEY Ровтгозг. 1. Describe a circle about a given triangle. 2. Solve... | |
 | Euclides - 1862 - 172 pages
...remaining- complement XX>. (ax. 3.) Wherefore, the complements, &c. QE T>. PROP. XLIV.— PROBLEM. To a given straight line to apply a parallelogram,...triangle, and have one of its angles equal to a given rectilineal angle. (References — Prop. i. 15, 29, 31, 42, 43 ; ax. 9. 12.) Let AB he the given straight... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...PROBLEM XVI. 315. On a given straight line to construct a segment of a circle that shall contain an angle equal to a given angle. Let AB be the given straight line. Through the point B draw the straight line BD, making the angle ABD equal to the given angle ; draw... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...PROBLEM XVI. 315. On a given straight line to construct a segment of a circle that ahull contain an angle equal to a given angle. Let AB be the given straight line. Through the point B draw the straight line BD, making the angle ABD equal to the given angle; draw... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...the same base, and between the same parallels, are equal to one another. 6. To a given straight line apply a parallelogram which shall be equal to a given...triangle, and have one of its angles equal to a given rectilineal angle. 7. If the square described upon one of the sides of a triangle be equal to the squares... | |
 | Euclides - 1863 - 74 pages
...radius and of the semi-circumference. PROP. 42. — PROB. To describe a parallelogram that shall lie equal to a given triangle, and have one of its angles equal to a given rectilineal angle. SOL.— P. 10,Pst. 1, P. 23, P. 31, Def. A.— DEM.-P. 38, P. 41, As. 6. Given the... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...PROBLEM XVI. 315. On a given straight line to construct a segment of a circle that shall contain an angle equal to a given angle. Let AB be the given straight line. Through the point B draw the straight line BD, making the angle ABD equal to the given angle ; draw... | |
 | Euclides - 1864 - 448 pages
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QED PROPOSITION XL1V. PROBLEM. To a given straight line to apply a parallelogram,...triangle, and have one of its angles equal to a given rectilineal angle, Let AB be the given straight line, and Cthe given triangle, and D the given rectilineal... | |
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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. 
