 | Euclides - 1862 - 172 pages
...angle EAF. (i. 8.) Wherefore the given rectilineal angle BAC Is bIsected by the line AF. QE F PROP. X. — PROBLEM. To bisect a given finite straight line, that is, to divide it into two equal parts. (References — Prop. L 1, 4, 9.) Let AB be the given straight line. It is required to divide AB into... | |
 | Euclides - 1862 - 140 pages
...Therefore the given rectilineal angle BAC is bisected by the straight line AF. QEF PROPOSITION 10. -PROBLEM. To bisect a given finite straight line, that is, to divide it into two equal parts. (References — Prop. I. 1, 4, 9.) Given. — Let AB be the given straight line. Sought. — It is... | |
 | Marcius Willson - Object-teaching - 1863 - 356 pages
...construction of tools and machines with which the pupil is familiar. Fig. 1. — To bisect a given straight line; that is, to divide it into two equal parts. Let AB be the given straight line. From the centre A, with a radius* greater than the half of AB, describe two arcs* of a circle, as at... | |
 | Euclides - 1864 - 448 pages
...is equal to the angle EAF. (I. 8.) Wherefore the angle BA C is bisected by the straight line A FQEF PROPOSITION X. PROBLEM. To bisect a given finite straight...the given straight line. It is required to divide AB into two equal parts. Upon AB describe the equilateral triangle ABC; (I. 1.) C and bisect the angle... | |
 | Euclides - 1864 - 262 pages
...is equal to the angle EAF. (l. 8.) Wherefore the angle BA C is bisected by the straight line AF. QEP PROPOSITION X. PROBLEM. To bisect a given finite straight...the given straight line. It is required to divide AB into two equal parts. Upon AB describe the equilateral triangle ABC; (\. 1.) 0 and bisect the angle... | |
 | Robert Potts - 1865 - 528 pages
...DAFis equal to the angle EAF. (i. 8.) Wherefore the angle BACis bisected by the straight line AF. QEF PROPOSITION X. PROBLEM. To bisect a given finite straight line, that is, to divide it into twe equal parts. Let AB be the given straight line. It is required to divide AB into two equal parts.... | |
 | Euclides - 1865 - 402 pages
...EAF. (i. 8.) Wherefore the given rectilineal angle BAG is bisected toy the line AF. Q. 1C. F. PROP. X. — PROBLEM. To bisect a given finite straight line, that is, to divide it into twu equal parts. (References — Prop. L 1, 4, 9.) Let AB be the given straight line. It is required... | |
 | John Playfair - Geometry - 1855 - 350 pages
...given angle may be divided into four equal parts, into eight, into sixteen, and so OB. PROP. X. PROB. To bisect a given finite straight line, that is, to divide it into two equal part*. Let AB be the given straight line ; it is required to divide it into two equal parts. Describe... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...rectangle contained by the whole and one of the parts may 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 may be equal to the square... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...rectangle contained by the whole and one of the parts may lie equal to the square on the other part. Let AB be the given straight line : it is required to divide it into two parts, to that the rectangle contained by the whole and one of the parts may 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. 
