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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. "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Página 14
por Euclides - 1853
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 páginas
...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...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 páginas
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 páginas
...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...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 páginas
...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...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 páginas
...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...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 páginas
...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...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 páginas
...: 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...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 páginas
...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....
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 páginas
...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....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 páginas
...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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