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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. "
Elements of Geometry, Containing the First Six Books of Euclid - Pagina 8
di Euclid - 1826 - 180 pagine
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pagine
...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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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 pagine
...shall be equidistant from its angular points. 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 w required to bisect it. Construction. Upon AB describe an equilateral triangle...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pagine
...bisected by the straight line AF. QEF Proposition 10. — Problem. To bisect a givsn 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 CONSTRUCTION. — Upon AB describe...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pagine
...be divided into 4, 8, 16 &c. equal /. s.] PROPOSITION X. PROBLEM. To bisect a given finite straight line, that is, to 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. A ABC...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 pagine
...Therefore the angle BAC is bisected by A F. 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 bisect it. On AB describe the equilateral triangle ABC (I. l). Bisect...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 pagine
...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 triangle...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 pagine
...prove that A ^ bisects the angle CBE. PROP. X. PROBLEM. To bisect a given finite straight line, ie to divide it into two equal parts. Let AB be the given finite straight line : It is required to bisect it. CONSTRUCTION. — 1. On AB construct an equilateral triangle...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 pagine
...to each ; and the base DF is equal (Const.) to the baseEF. Therefore the angle DAF is equal (I. S) to the angle EAF. Wherefore the given rectilineal angle BAC is bisected by the straight line A FQ E, F. By meana of this proposition, an angle may be divided iuto any number of equal...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 pagine
...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 triangle...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pagine
...figure, and AF is called its axis of symmetry. 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 AB an equilateral A ABC....
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