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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 - Page 38
by Euclides - 1853 - 147 pages
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1856 - 346 pages
...THEOR. 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...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
...— 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...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 angles...
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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...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, which shall touch...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...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...which is made up of the half and the part produced. 8. PUOP. XII. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...— THEOR. If a st. 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 st. line which is made up of the half and the part produced. CONS.— 46. I., Pst. 1, and 31. I. DBM.—...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 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 up of the whole line and that part. In obtuse angled triangles, if a perpendicular be drawn from either of the...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...parts. 3. 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
...— 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...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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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 pages
...— 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...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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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...— 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...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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