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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 on half the line bisected, is equal to the square on the straight line which is made... "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Page 56
by John Playfair - 1832 - 333 pages
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...themselves equal and parallel. 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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Guide to the Three Services: Civil, Naval, and Military

John Paxton Hall - 1860 - 186 pages
...parallelogram. BOOK II. PROP. VI. — If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the...which is made up of the half and the part produced. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...parallelogram. BOOE IL PROP. VI. — If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the...which is made up of the half and the part produced. PEOP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles...
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 pages
...parallelogram. BOOK II. 7. PEOP. VI. — If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the...which is made up of the half and the part produced. 8. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...opposite to the right angle. 7. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the...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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...DB. PROPOSITION VI. 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 rig^ht angles to each other, one...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...cannot have a common segment. 2. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the...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 pages
...GRIFFIN, MA Voluntary Portion. 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 - 464 pages
...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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