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" If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. "
Elements of Plane Geometry - Page 64
by Thomas Hunter - 1878 - 132 pages
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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - Education, Primary - 1856 - 198 pages
...of every triangle are together equal to two right angles. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 6. In obtuse-angled...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...the square of the first mentioned part. XLIX.— EUCLID II. 4. If a straight line be divided into any two parts the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...line may be produced to any length in a st. line. DEM. — 4. II. If a st. line be divided into any two parts, the square of the whole line is equal to the square of the two parts, together witb twice the rectangle contained by the parts. Ax. 2. If equals...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...and also bisects the parallelogram. BOOK II. 5. PROP. IV. — If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 6. PROP. IX. —...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 690 pages
...and also bisects the parallelogram. BOOK II. 5. PROP. IV. — If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 6. PROP. IX. —...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...the point of intersection will bisect the vertical angle. 4. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the parts and to twice the rectangle contained by the parts. Explain how a rectangle is...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...2x-5 3 2.a? + 7 2j;-7 __ 1^ ~ 14 21 1 (2) bx-ay=d EUCLID. 1. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 2. In every acute-angled...
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - Examinations - 1859 - 356 pages
...4. Prove also in the same manner the following : — ^ A. " If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts and twice their rectangle. B. " If a straight line be. divided into two equal...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...point, and also bisects the parallelogram. BOOK II. PROP. IV — If a straight lice be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. PROP. IX. — If...
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Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...have one of its angles equal to a given rectilineal angle. 7. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 8. If a straight...
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