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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. "
A complete set of male pupil teachers' examination questions in Euclid [book ... - Side 17
av W J. Dickinson - 1879 - 36 sider
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National Society's Monthly Paper

1856
...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 contamed by the parts. 6. In obtuse-angled triangles if a perpendicular be drawn from either of the...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volum 3

1858
...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...together with twice the rectangle contained by the parts. 6. PROP. IX. — If a straight line be divided into two equal, and also into two unequal parts ; the...
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Parliamentary Papers, Volum 25

Great Britain. Parliament. House of Commons - 1858
...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...together with twice the rectangle contained by the parts. 6. PROP. IX. — If a straight line be divided into two equal, and also into two unequal parts ; the...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 234 sider
...THEOREM. If a straight line is divided into any two parts, the square oj the whole line is equivalent to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square on AB is equivalent to the...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volum 2

Euclides - 1858
...PROP. IV. THEOII. If a st. line be divided into any two parts, the square of the whole line equals the squares of the two parts, together with twice the rectangle contained by the parts. CоN. 46. Fat. 1, 31 I. DEM. 29. I, Def. 30. I, 5. I, Ax. 1. 6. I, Ax. 3. 34. I, 43. I. Exp. ! 1 Con....
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...4. II. If a st. line be divided into any two parts, the square of the whole line equals the square of the two parts together with twice the rectangle contained by the parts. Def. 30. I. A square is a four-sided figure having all its sides equal, and its angles rt. angles....
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 sider
...equal parts. 3. "What is a rectangle ? 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 to twice the rectangle contained by the parts. If the line be bisected, what do the rectangles...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 sider
...terminated in the other extremity. 2. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. VOLUNTARY PORTION. 1. Prove that if the diagonals of a quadrilateral figure bisect each other, the...
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859
...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 and also into two unequal...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service
...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...together with twice the rectangle contained by the parts. PROP. IX. — If a straight line be divided into two equal, and also into two nnequal parts ; the squares...
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