 | 1876 - 710 Seiten
...contribute to the greatness of Russia ? EUCLID. 1. Define a line, a square, parallel straight lines. 2. To bisect a given finite straight line, that is, to divide it into two equal parts. 3. To make a parallelogram given, which shall be equal to a given triangle, and hare an angle equal... | |
 | Robert Potts - 1876 - 446 Seiten
...the angle EAF. (I. 8.) Wherefore the angle BA C is bisected by the straight line AF, QEF PROPOSITION X. PROBLEM. To bisect a given finite straight line, that is, to divide it into tteo tytai parti. Let AB be the given straight line. It is required to divide AB into two equal parts.... | |
 | Edward Atkins - 1876 - 130 Seiten
...quilateraL .'. t DAF = /EAF. the straight line AF. Proposition 10. — Problem. To bisect a given Jinite straight line, that is, to divide it into two equal parts. Let AB lie the given straight line. It is required to divide it into two equal parts. CONSTRUCTION. — Upon... | |
 | Edward Atkins - 1877 - 72 Seiten
...rectilineal angle BAC is bisected by the straight line AF. QEF Proposition 10. — Problem. To bisect a givsn finite straight line, that is, to divide it into two...line. It is required to divide it into two equal parts CONSTRUCTION. — Upon AB describe the equilateral triangle ABC (I. l). Bisect the angle ACB by the... | |
 | Euclides - 1877 - 58 Seiten
...point within an equilateral triangle which shall be equidistant from its angular points. PROPOSITION X. PROBLEM. To bisect a given finite straight line,...equal parts. Let AB be the given straight line ; it w required to bisect it. Construction. Upon AB describe an equilateral triangle ABC ; (prop. 1) bisect... | |
 | George Albert Wentworth - 1877 - 416 Seiten
...CONSTRUCTIONS. PROPOSITION XXI. PROBLEM. 302. To divide a given straight line into equal parts. G \ -o Let AB be the given straight line. It is required to divide AB into equal parts. From A draw the indefinite line A 0. Take any convenient length, and apply it... | |
 | Moffatt and Paige - 1879 - 428 Seiten
...angle DAF is equal to the angle EAF (I. 8). Therefore the angle BAC is bisected by A F. QEF Proposition X. Problem. To bisect a given finite straight line,...Let AB be the given straight line, It is required to bisect it. On AB describe the equilateral triangle ABC (I. l). Bisect the angle ACB by the straight... | |
 | Euclides - 1879 - 146 Seiten
...Observe that by help of this prop, an i. may be divided into 4, 8, 16 &c. equal /. s.] PROPOSITION X. PROBLEM. To bisect a given finite straight line,...divide it into two equal parts. Let AB be the given finite st. line. It is required to divide AB into two equal parts. Constr. On AB describe the equilat.... | |
 | W J. Dickinson - 1879 - 44 Seiten
...angle. Show how to bisect a given rectilineal angle, that is, to divide it into two equal angles. 10. To bisect a given finite straight line, that is, to divide it into two equal parts. 11. To draw a straight line at right angles to a given straight line from a given point in the same.... | |
 | Moffatt and Paige - 1879 - 506 Seiten
...rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Let AB be the given straight line. It is required to divide it into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square... | |
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To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts. 
