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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 into two equal parts. "
Elements of Geometry and Trigonometry: With Applications in Mensuration - Page 55
by Charles Davies - 1855 - 324 pages
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...bisected by the straight line AF. Which was to be done. PROP. X. PROB. 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 into two equal parts. al. 1. Describe a upon it an equilateral...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...BAC is bisected by the straight line AF. PROPOSITION X. PROBLEM. 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 into two equal parts. Describe (I. 1) upon it an equilateral...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...bisected by the straight line AF. Which was to be done. PROP. X. PROB. Tobiseet 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 into two equal parts. «. . Describe* upon AB an equilateral...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...bisected by the straight line AF. Which was to be done. PROP. X. PROB. 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 into two equal parts. * 1. 1. Describe* upon it an equilateral...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...proof is the same as that which is given in the text. PROP. X. PROB. 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 into two equal parts. Describe (1.1.) upon it an equilateral...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...equal parts, into eight, into sixteen, and so on. PROP. X. PROB. 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 into two equal parts. Describe (1. 1.) upon it an equilateral...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...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 parts. Let AB be the given straight line. It is required to divide AB into two equal parts. DB Upon AB describe the equilateral...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...straight line AF. Which was to be done. PROPOSITION X. PROB. — 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 into two equal parts. 14 t 24 Def. Constr. 4. 1. • 3....
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...angle BAC is bisected by the straight line AF. QEF PROP. X. PROB. 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 bisect it. Upon it describe an equilateral triangle ABC, and bisect...
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Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - Geometrical drawing - 1846 - 254 pages
...of Chords, all of which have been described. 25. How do you bisect a given straight line ; that is, divide it into two equal parts ? Let AB be the given line. With A as a centre, and a radius greater than half of AB, describe an arc IFE. Then remove the foot...
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