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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 half the line bisected, is equal to the square of the straight line which is made... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 47
by Euclid - 1835 - 513 pages
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to...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
...the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to...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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Guide to the Three Services: Civil, Naval, and Military

John Paxton Hall - 1860 - 186 pages
...the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to...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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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 336 pages
...the rectangle contained by the whole line thus produced and the part of it produced, together with the square of half the line bisected, is equal to...which is made up of the half and the part produced. II. ALGEBRA. 1. Ifg = |y = $g> find the уа1ие зУ 4 2. Divide лг* - 4*з - 34^ + 76* - 105 by...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 straight line AB be bisected in C, and produced tfl^the point D Then the rectangle AD, DB, together with the square on CB, shall be equal to the square...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...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. Given the straight line AB, bisected in C, and produced to the point D ; to prove that the rectangle...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...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. 3. In a circle the angle in a semicircle is a right angle, but the angle in a segment greater than...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...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, 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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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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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...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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