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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 Geometry and Conic Sections - Page 63
by Elias Loomis - 1857 - 226 pages
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. Divide a straight line into two parts so that the sum of their squares may be the least possible. 2....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 pages
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. Let the st. line AB be divided into any two parts in C. Then must sq. on AB=sum of sqq. on AC, CB and twice...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Algebra. l. Prove that(2a-)' - (e-rt)*— ( + /<) {7 (а-ф By adding, we have ^?-fab-(>a'...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. Let the straight line AB be divided into any two parts at the point C: the square on AB shall be equal to the squares on AC, CB, together with twice the rectangle...
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Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...equivalent. 5. If a straight line be divided into any two parts, the square of the whole line is equal (or equivalent) to the squares of the two parts, together with twice the rectangle contained by the parts. 6. The rectangle contained by the sum and difference of two lines is equivalent to the difference of...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...BC. 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 "tarts. *Let AB be divided into any two parts in C ; then the square of AB shall be equal to the squares...
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Transactions of the Asiatic Society of Japan, Volumes 13-15

Asiatic Society of Japan - Japan - 1885 - 750 pages
...line be divided into two parts, the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the parts. In the arithmetical extraction of square root, the quantity is considered as consisting of two parts,...
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Journal of the Board of Education of the City of New York

New York (N.Y.). Board of Education - Education - 1885 - 990 pages
...parts, the square described on the whole line is equivalent to the sum of the squares described on the two parts, together with twice the rectangle contained by the parts. Laid over under the rule. MOTIONS AND RESOLUTIONS. Commissioner SIMMONS moved that when the Board adjourns,...
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Annual Report of the Chief Superintendent of Education

1885 - 608 pages
...line be divided into two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. 5. The diagonal of a square is 6 feet, find its area. Solve the question and enunciate the geometrical...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 346 pages
...parts, the square described on the whole line is equivalent to the sum of the squares described on the two parts, together with twice the rectangle contained by the parts Let the line AB be divi.led into two n „ „ parts at the point E: then wul the square described on AB be...
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