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" If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Página 51
por John Playfair - 1855 - 318 páginas
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 páginas
...parts, together with the square on the part between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in C, and into two unequal pai.ts in D; it is required to prove that the rectangle contained by the two...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 páginas
...squares. PROPOSITION 5. — Theorem. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Let the straight...
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Pure mathematics, Volumen1

Edward Atkins - 1874 - 426 páginas
...squares. Proposition 5. — Theorem. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the pointg of section, is equal to the square on half the line. Let the straight...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 páginas
...the line. PROPOSITION 5. THEOREM. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. * Let the straight...
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Pure mathematics, Volumen1

Edward Atkins - 1874 - 428 páginas
...squares. Proposition 5. — Theorem. If a straight line l>e divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with t/ie square on the line between the points of section, is equal to the square on half t/ie line. Let...
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The Madras University Calendar, Volumen1

University of Madras - 1874 - 502 páginas
...unequal parts, prove that the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. PART II. V. Divide a given straight line into two parts, so that the rectangle contained...
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The Teachers' assistant and pupil teachers' guide, Volumen1

1876 - 400 páginas
...double of the square on the other. 2, If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. ALGEBEA. — 1....
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 páginas
...squares. Proposition 5.— Theorem. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Let the straight...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 páginas
...terminated in the other extremity. 2. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. . . : ' > ) 3....
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Annual Report

1876 - 710 páginas
...angles equal to a rectilineal angle. 4. If a straight line be divided into two equal parts and also into two unequal parts ; the rectangle contained by the unequal parts,. together with the square on the line between the points of section,, is equal to the square on half the line. ENGLISH GRAMMAR...
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