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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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## A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 410 páginas
...DAH > the L HAG ; and so on. . PROP. XXXIII. 47. PROBLEM. To trisect av given finite straight line. Let AB be the given straight line: It is required to divide it into three equal parts. Upon AB describe (E. 1.1.) the equilateral A CAB ; bisect (E. 9. 1.) the two equal...
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## The new practical gager

Matthew Iley - 1820 - 512 páginas
...or of ivory, with a square end : and parallel lines are best made with a parallel ruler. PROBLEM v. To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be a given finite straight line to be divided into two equal parts. y A From A as a centre, with any opening...
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## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 páginas
...line AF. Which was to be done. Proportion X. Problem. To bisect a given finite straight line, that it, to divide it into two equal parts. Let AB be the given straight line j it is required to divide it into two equal parts. Describe( 1 . 1 . ) upon it an equilateral triangle...
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## A Supplement to the Elements of Euclid

Daniel Cresswell - 1825 - 582 páginas
...whole tine and out; of Us parts, shall have a given ratio to the square of the other part *. Let Jli be the given straight line : It is required to divide it into two parts, such that the rectangle contained by AB and one of the parts shall have to the square of the...
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## Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 236 páginas
...angle into any even number of equal parts. PROPOSITION X. PROBLEM.* To bisect a given finite right line, that is, to divide it into two equal parts. Let AB be the given finite right c line ; it is required to bisect it. Upon ita describe the equilateral triangle ABC ;...
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## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 páginas
...rectangle contained by the whole, and one of the parts, shall be equal to the square of 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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## Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 páginas
...PROPOSITION IX. PROBLEM. To divide a given straight line into two parts which shall be in any given ratio. Let AB be the given straight line; it is required to divide AB into two parts which shall be in a given ratio. From the point A draw a line AC, making any angle...
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## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 páginas
...rectilineal angle BAC is bisected by the straight line AF. Which was to be done. D PROP. X. PROB. To bisect a finite straight line, that is, to divide it into two...required to divide it into two equal parts. Describe (1. 1.) upon it an equilateral triangle ABC, and bisect (9. 1. ) the angle ACB by the straight line...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 páginas
...is bisected by the straight line AF. Which was to be done. PROP. X. PROB. To User I a given Jinite straight line, that is, to divide it into two equal...required to divide it into, two equal parts. Describe (1. 1.) upon it an equilateral triangle ABC, and biseet (9. 1.) the angle ACB by the straight line...
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## The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 páginas
...l. f Constr. f Cumtr. PROPOSITION X. PROR. — To bisect a givenj!nite straight line ; that is, Id divide it into two equal parts. Let AB be the given...required to divide it into two equal parts. Describe * upon it an equilateral triangle c ABC, and bisect* the angle ACB, by the straight line CD : AB shall...
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