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" Iff a straight line be divided into any two parts, four times the 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 and that... "
An Elementary Treatise on the Geometrical and Algebraical Investigation of ... - Strona 154
autor: Daniel Cresswell - 1817 - Liczba stron: 436
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Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - 1876
..._B02, CAS together, is equal to the sum of those on A Ci, BAt, CB3 together. n. 11. Divide a given straight line into two parts, such that the rectangle contained by the whole and one part may be equal to that contained by the other part and a given straight line. 1863. in....
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
.... . . . . . .' . . . . . . . . 145 s. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - Liczba stron: 403
...line, &c. QED PROPOSITION VIIL THEOREM. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square on the other part, is equal to the square on the straight line, which is made...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - Liczba stron: 119
...&c. Q. E, D. Proposition 8. — Theorem. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made...
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SYLLABUS OF PLANE GEOMETRY

1876
...several parts into which the other is divided. COR. T. If a straight line is divided into two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts. COR. 2....
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Elementary geometry

James Maurice Wilson - 1878
...rectangles contained by A and BD, A and DE, COR. i. <If a straight line is divided into two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two part s\. COR....
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...of its angles equal to a given rectilineal angle. 9. Divide a given straight line into two parts, so that the rectangle contained by the whole line and . one of the parts shall be equal to the square of the other part. 11. Inscribe an equilateral and equiangular hexagon in a...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...the greatest value which these complements, for a given parallelogram, can have ? 3. Divide a given straight line into two parts, such that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Divide a given straight line into...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Tom 23

1879
...having an angle equal to a given rectilineal angle. 4. Divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. 5. Angles in the same segment of a circle are equal to...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...possible ? PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made...
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