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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 - Page 62
by Great Britain. Admiralty - 1846
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...of the hypotenuse and the other leg. PEOP. VI. THEOBEM ya ttraight line be bisected, and produced to any point, the rectangle contained by the whole line...line bisected, is equal to the square of the straight Kne which is made up of the half and the part produced. Let the straight line AB he bisected at C,...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 334 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made vp of the whole and thefirst-mentioned part. Let the straight line AB be divided into any two parts...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...rectangle contained by their sum and difference. LI. 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 made up of the half and the part produced. Let AB (Fig. 41) be bisected in C, and produced to...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...angle contained by these two sides is a right angle. 5. If a right 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 right line which is made up of the half and the part produced. Prove this proposition algebraically....
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1856 - 346 pages
...difference of their squares / £ / It E Cr I PROP. VI THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line...the square of half the line bisected, is equal to t/u; square of the straight line which is made up of the half and the part produced. Let the straight...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...other is a parallelogram. BOOK II. 7. PROP. VI. — 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. 8. PROP. XII. In obtuse-angled triangles, if a perpendicular be drawn from either...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...a part equal to the less. Psts. 1 and 2. DEM. — 6. II. If a st. 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 st. line which is made up of the half and of the part produced. 47. I. Iu any rt. angled triangle,...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, together with the square of half the line...of the straight line which is made up of the half and the part produced. 2. Draw a straight line from a given point, either without or in the circumference,...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...other is a parallelogram. BOOK II. 7. PROP. VI. — 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 witli the square of half the line bisected, is equal to the square of the straight line which is made...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

Euclides - 1858 - 136 pages
...USE. l. PROP. V. Bootc IT. Pnot.. VI. THEOR. If u st. Um; be bisecti;d and produced to any poiiti, the rectangle contained by the whole line thus produced and the part of it produced, toyether with the square of half the line bisrcted, is equal la ihe square of the st. line which is...
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