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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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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 520 pages
...readily cut off from the latter equal to that measure^ that is, equal to the smaller line. 101. PROP. IV. To bisect a given straight line, that is, to divide it into two equal parts. This is done with theoretical exactness in (27) ; but in practice such a method would never be adopted....
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1855 - 340 pages
...falls on B- Then, f with a pen, or pencil, draw the ' ~ line AB- ^ . B PROBLEM IVTo 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...angle BA C is bisected by the straight line AF. QEF 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 AB into two equal parts. Upon AB describe the...
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A Manual of Information and Suggestions for Object Lessons, in a Course of ...

Marcius Willson - Object-teaching - 1863 - 356 pages
...especially in the construction of tools and machines with which the pupil is familiar. Fig. 1. — To bisect a given straight line; that is, to divide it into two equal parts. Let AB be the given straight line. From the centre A, with a radius* greater than the half of AB, describe...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...angle BA C is bisected by the straight line A FQEF 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 AB into two equal parts. Upon AB describe the...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...angle BA C is bisected by the straight line AF. QEP 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 AB into two equal parts. Upon AB describe the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...angle BAC is bisected by the straight line AF. QEF PROPOSITION 10. 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 on it an equilateral...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...angle BA C is bisected by the straight line A FQEF 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 AB into two equal parts. Upon AB describe the...
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The sheet metal worker's instructor

Reuben Henry Warn - Sheet-metal work - 1869 - 146 pages
...Draw the line CD so aa to touch these curves, and CD will be parallel to AB as required. FIG. 2. — To bisect a given straight line ; that is, to divide it into two equal parts at right angles. Let AB be the given line. From any part, say oo, with radius3 greater than half the...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...to AB at the point G. (I. Def. 8.) QED PROP. IX.— PROBLEM. (Euc. I. 10.) To bisect a given Jlnite straight line; that is, to divide it into two equal parts. Let AB be the given finite straight line ; it is required to bisect it. Describe (I. 1) on it an equilateral...
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