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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 ... - Seite 14
von Euclides - 1853
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 Seiten
...bifected by the ftraight line AF. Which was to be done. . PROP. X. PROB. TO bifeft a given finite ftraight line, that is, to divide it into two equal parts. Let AB be the given ftraight line ; it is required to divide it into two equal parts. gf. Defcribe * upon it an equilateral...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 444 Seiten
...the ftraight line AF. Which was to be done. b II c8.u PRO PX PRO B. 3 bifedl a given finite ftraight line, that is, to divide it into two equal parts. Let AB be the given ftraight line ; it is required to divide it into two equal parts. Defcribe a upon it an equilateral...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 Seiten
...by the ftraight line AF. Wrhich was to be done. I PROP. X. PROB. TO bifect a given finite ftraight line, that is, to divide it into two equal parts. Let AB be the given ftraighi line ; it is required to divide it into two equal parts. Defcribe a upon it an equilateral...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 Seiten
...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: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 Seiten
...rectangle contained by the whole and one of the parts may 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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813 - 722 Seiten
...Prob. To bisect a given rectilineal angle, that is, to divide it into two equal angles. Prop. X. Prob. To bisect a given finite straight line, that is, to divide it into two equal part«. Prop. XI. Prob. To draw a straight line at right angles to a given straight line, from a given...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 558 Seiten
...equilateral triangle DEF; then join AF; the straight line AF bisects the angle BAC. PROP. X. P80B. To bisect a given finite straight line, that is, to divide it into two equal parts. Describe3 upon it an equilateral triangle ABC, and hi- • i. seet b the angle ACB by the straight...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 Seiten
...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 thcsquare...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 Seiten
...given rectilineal angle BAC is bisected by the 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 (1....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1819 - 348 Seiten
...rectangle contained by the -whole, and one of the parts, may 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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