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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 ...

Robert Simson - 1835 - 513 páginas
...given rectilineal angle BAC is bisected by the straight line AF. Which was to be done. PROP. X. PROB. To bisect a given finite straight line, that is, to...it is required to divide it into two equal parts. a 1. 1. Describe a upon it an equilateral triangle ABC, and bisect b9. 1. bthe angle ACB by the straight...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 316 páginas
...given angle may be divided into four equal parts, into eight, into sixteen, and so on. PROP. V. PROB. To bisect a. given finite straight line, that is,...straight line ; it is required to divide it into two 6<1 Describe (Prob. 1.) upon it an equilateral triangle ABC, and bisect (Prob. 4.) the angle ACB by...
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## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 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: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 páginas
...given rectilineal angle BAC is bisected by the straight line AF. Which was to be done. PROP. X. PROB. To bisect a given finite straight line, that is, to...it is required to divide it into two equal parts. Book 1, a 1. 1. b9. I. c 4. 1. a 3. 1. b 1. I. c8. Describe a upon it an equilateral triangle ABC,...
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## The Element of Geometry

John Playfair - 1836 - 114 páginas
...rectangle con tained 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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## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 páginas
...and XII. depend wholly on Proposition VIII. and that of X. wholly on Proposition IV. c PROPOSITION X. Problem. To bisect a given finite straight line; that is, to divide it into two equal parts. Problem. a straight line at right angles to a given straight line from a given point in the same. PROPOSITION...
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## Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...and of the mean distance. PROPOSITION XI. PROBLEM. To divide a given straight line in medial section. Let AB be the given straight line ; it is required to divide it in medial section. Upon AB describe the square ABDC (I. 46) ; bisect AC in E (1. 10), and join BE ;...
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## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 410 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.BC may be equal...
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## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 páginas
...given rectilineal angle BAC is bisected by the straight line, AF, which was to be done. PROP. X. PROB. To bisect a given finite straight line, that is, to...given straight line : it is required to divide it intotwo equal parts. Describe (1. 1.) upon it an equilateral triangle ABC, and bisect (9. 1.) the angle...
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## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 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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