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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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## Annual Report

1876 - 712 páginas
...contribute to the greatness of Russia ? EUCLID. 1. Define a line, a square, parallel straight lines. 2. To bisect a given finite straight line, that is, to divide it into two equal parts. 3. To make a parallelogram given, which shall be equal to a given triangle, and hare an angle equal...
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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 páginas
...the angle EAF. (I. 8.) Wherefore the 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 tteo tytai parti. Let AB be the given straight line. It is required to divide AB into two equal parts....
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## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 páginas
...quilateraL .'. t DAF = /EAF. the straight line AF. Proposition 10. — Problem. To bisect a given Jinite straight line, that is, to divide it into two equal parts. Let AB lie the given straight line. It is required to divide it into two equal parts. CONSTRUCTION. — Upon...
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## Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 páginas
...rectilineal angle BAC is bisected by the straight line AF. QEF Proposition 10. — Problem. To bisect a givsn finite straight line, that is, to divide it into two...line. It is required to divide it into two equal parts CONSTRUCTION. — Upon AB describe the equilateral triangle ABC (I. l). Bisect the angle ACB by the...
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## Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 páginas
...point within an equilateral triangle which shall be equidistant from its angular points. PROPOSITION X. PROBLEM. To bisect a given finite straight line,...equal parts. Let AB be the given straight line ; it w required to bisect it. Construction. Upon AB describe an equilateral triangle ABC ; (prop. 1) bisect...
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## Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 416 páginas
...CONSTRUCTIONS. PROPOSITION XXI. PROBLEM. 302. To divide a given straight line into equal parts. G \ -o Let AB be the given straight line. It is required to divide AB into equal parts. From A draw the indefinite line A 0. Take any convenient length, and apply it...
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## Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 426 páginas
...angle DAF is equal to the angle EAF (I. 8). Therefore the angle BAC is bisected by A F. QEF Proposition X. Problem. To bisect a given finite straight line,...Let AB be the given straight line, It is required to bisect it. On AB describe the equilateral triangle ABC (I. l). Bisect the angle ACB by the straight...
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## Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 páginas
...Observe that by help of this prop, an i. may be divided into 4, 8, 16 &c. equal /. s.] PROPOSITION X. PROBLEM. To bisect a given finite straight line,...divide it into two equal parts. Let AB be the given finite st. line. It is required to divide AB into two equal parts. Constr. On AB describe the equilat....
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## A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 páginas
...angle. Show how to bisect a given rectilineal angle, that is, to divide it into two equal angles. 10. To bisect a given finite straight line, that is, to divide it into two equal parts. 11. To draw a straight line at right angles to a given straight line from a given point in the same....
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## Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 páginas
...rectangle contained by the whole and one of the parts shall be equal to the square on 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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