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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 first six books of the Elements of Euclid, with numerous exercises - Seite 38
von Euclides - 1853 - 147 Seiten
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...angle. 7. 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 half the line bisected, shall be equal to the square of the straight line made up of the half and the part produced. 8. Divide...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1860 - 317 Seiten
...Ifastraightlinebe bisected, and produced to any point ; the rectangle contained by the whole line that produced, and the part of it produced, together with the square of half the tine bisected, is equal to the square of the straight line which is made up of the half and the part...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 Seiten
...THEOREM. If a 3traight line be bisected, and produced to any point; the reetanglt contained by 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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...THEOBEM. 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 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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 Seiten
...segment. 2. 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...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
...2. 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 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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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...of it produced, together with the square of half the line bisd., is equal to the square of the st. line which is made up of the half and the part produced. El- Hyp. 1 2 „ 2 Cone. Let D be any • without © ABC; and DCA, DB two st. lines from • D, of...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...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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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...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 and the part produced. (References — Prop. I. 31, 34, 36, '43, 46; II. 4, cor.) Hypothesis. — Let the straight line AB...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Band 2

Robert Potts - 1863
...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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