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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. "
Colliery Surveying: A Primer Designed for the Use of Students and Colliery ... - Page 19
by Thomas Aloysius O'Donahue - 1896 - 163 pages
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

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 parts. Let AB be the given straight line. It is required to divide AB into two equal parts. DB Upon AB describe the...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...rectilineal 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...into four 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...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...is bisected by the B 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. Describe (i. 1.) upon...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...same edge falls on B. Then, with a pen, or pencil, draw the line AB. B PROBLEM IV. To bisect a given line: that is, to divide it into two equal parts Let AB be the given line to be divided. With A as a centre, and radius greater than half of AB, describe an...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...edge falls on B. Then, . j*L with a pen, or pencil, draw the line AB. B PROBLEM IV. To bisect a given line : that is, to divide it into two equal parts Let AB be the given line to be divided. With A as a centre, and radius greater than half of AB, describe an...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...which bisects the angle.] •28 BOOK I. iv. I. THE ELEMENTS PROP. X. PEOB. To bisect a (jiven 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 it an...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...by the straight line af Which was to be done. 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...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...bisected by the straight line AF. Which wa» 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. Describe (1. i.) upon...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...bisected by the straight line AF. Which was to be done. PROP. 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...
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