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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... "
Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ... - Side 23
av Association for the improvement of geometrical teaching - 1876 - 58 sider
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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871 - 136 sider
...that BGD is a straight line. /i as a 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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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872 - 216 sider
...under the whole line BC and each of its parts. PBOPOSITION III. If a right line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. The propositions required...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 sider
...straight line. 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 otJter part, is equal to the square on the straight line which is made...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 sider
...on BP + rectangle BP, PQ + rectangle BP, QC. Hence, if a straight line be divided into any number of parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangles contained by that part and the other parts. PROPOSITION...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 sider
...line, &c. QED 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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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 sider
...PROP. VIII.— THEOREM. (Euc. II. 8.) If a straight line be divided into any two ^mrts, four limes 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 in made...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 sider
...represented in symbols, 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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Pure mathematics, Volum 1

Edward Atkins - 1874 - 426 sider
...line, &c. QED 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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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 sider
.... . . . . . .' . . . . . . . . 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 - 446 sider
...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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