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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 System of Popular Geometry: Containing in a Few Lessons So Much of the ... - Página xxxi
por George Darley - 1836 - 128 páginas
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The Popular Educator, Volumen6

1855
...than in ordinary language. The proposition, (Euclid 4, 2,) that when a straight line is divided into two parts, the square of the whole line is equal to the squares of the two parts, together with twice the product of the parts, is demonstrated, by squaring...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 336 páginas
...multiplying both members of this equality by c, we shall have oc^ic+c 2 . PROP. IV. THEOR. If a straight line be divided into any two parts, the square of the whole line ts equal to the squares of the two parts, together with twicetke rectangle contained by tin- parts....
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...parts together with 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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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...Parallelograms on the same base and between the same parallels, are .equal to each other. 7. If a right 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. Describe a square...
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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 páginas
...and have one of its angles equal to a given rectilineal angle. Section II. — 1. If a straight line be divided into any two parts, the square of the whole line shall be equal to the sum of the squares of the parts, together with twice the rectangle contained...
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Parliamentary Papers, Volumen25

Great Britain. Parliament. House of Commons - 1858 - 690 páginas
...bisected in that point, 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 - 12 páginas
...another. Divide a given triangle into four 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,...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volumen3

1858
...bisected in that point, 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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...parallelogram which are about the diameter of any parallelogram, are equal to one another. 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....
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volumen2

Euclides - 1858
...Ax. 1. Hyp. Cone. •ui Con e. Def. 1.1 1. .in. I. \x. I. BOOK II. 85 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....
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