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" If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square of... "
The Elements of Geometry, Symbolically Arranged - Seite 62
von Great Britain. Admiralty - 1846
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 Seiten
...two straight lines cannot have a common segment. 2. If a straight line be bisected and produced to any point, the rectangle contained by the whole line...half the line bisected, is equal to the square of the line which is made up of the half and part produced. VOLUNTARY PORTION. 1. Inscribe an equilateral...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 Seiten
...Morning Paper. REV. WN GRIFFIN, MA Voluntary Portion. 2. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line...the part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 Seiten
...divided into any two parts ; 68 THE SCHOOL EUCLID. parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part. (References — Prop. i. 3, 31, 34, 36, 43, 46 ; n. 4, Cor.) Let the straight...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Band 2

Robert Potts - 1863 - 482 Seiten
...be bisected and produced to any point ; the rectangle contained by the whole line thus produced, ond the part of it produced, together with the square...line bisected, is equal to the square of the straight lino which is made up of the half and the part produced. 6. Upon a given straight line to describe...
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Responsions

University of Oxford - 1863 - 316 Seiten
...straight lines shall be parallel to one another. 3. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line...the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 Seiten
...straight line (AB) be bisected (at G), and produced to ang point (D). the rectangle (AD. DB) contained bg the whole line thus produced, and the part of it produced, together with the square of (CB) half the line bisected, is equal to the square of the straight line (CD) which is made up of the...
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Guide to the Civil service

Henry White - 1864 - 156 Seiten
...of its angles equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any point; the rectangle contained by the whole line...of the straight line which is made up of the half and the part produced. 4. The diameter is the greatest straight line in a circle; and, of all others,...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 Seiten
...rectangle PF. PC may be equal to the rectangle PD. PA. 164. To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. 165. Two straight lines stand at right angles to each other, one...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 Seiten
...rectangle PF.PCmay be equal to the rectangle PD.PA. 164. To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. 165. Two straight lines stand at right angles to each other, one...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 Seiten
.... . . . . . n. 5. 2. If a straight line be bisected, and produced to any point, the rectangle under the whole line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half...
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