 | Euclides - Geometry - 1841 - 378 pages
...rectangle contained by the whole and one of the parts, shall be equal to the square of 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... | |
 | Euclides - 1842 - 316 pages
...contained by the whole, and one of the parts, shall be equivalent to the square of 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 equivalent to the... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...rectangle contained by the whole, and one of the parts, may be equal to the square of 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 Ji ft. the whole, and one of the parts, shall be equal to... | |
 | Euclides - 1845 - 546 pages
...angle BAC is bisected by the straight line AF. QEF PROPOSITION X. PROBLEM. To bisect a given finlle straight line, that is, to divide it into two equal...the given straight line. It is required to divide AB into two equal parts. DB Upon AB describe the equilateral triangle ABC ; (i. 1.) and bisect the... | |
 | Euclid - Geometry - 1845 - 218 pages
...rectangle contained by the whole, and one of the parts, shall be equal to the square of 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... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...which was to be done. PROP. XXX. PROB. — To divide a given straight line in extreme and mean ratio. Let AB be the given straight line ; it is required to divide it in extreme and mean ratio. Divide AB (II. 11 ) in the point C, so that the rectangle AB.BO may be equal... | |
 | Euclides - 1846 - 292 pages
...: Wherefore the given rectilineal angle BAC is bisected by the straight line AF. QEF PROP. X. PROB. To bisect a given finite straight line, that is, to...AB be the given straight line : it is required to bisect it. Upon it describe an equilateral triangle ABC, and bisect the angle ACS by the straight line... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...7. .-. i_ DAF = L EAF. Wherefore the rectilin. /. BAC is bisected by AF. PROP. IX. PROB. 10. 1 Eu. To bisect a given finite straight line, that is, to divide it into two equal parts. To divide AB into two = parts. Prop. i. Upon AB descr. equilat. ^\ ABC. Prop. 8. Bisect /. ACB by CD.... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...7. .'. L DAF = Z. EAF. Wherefore the rectilin. /_ BAC is bisected by AF. PROP. IX. PROB. 10. 1 Eu. To bisect a given finite straight line, that is, to divide it into two equal parts. To divide AB into two = parts. Prop. i. Upon AB descr. equilat. ^^ ABC. Prop. 8. Bisect L ACBby CD.... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...rectangle contained by the whole, and one of the parts, may be equal to the square of 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. 
