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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 ... - Pàgina 51
per John Playfair - 1856 - 318 pàgines
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 pàgines
...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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Pure mathematics, Volum 1

Edward Atkins - 1874 - 426 pàgines
...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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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pàgines
...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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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pàgines
...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, Volum 1

Edward Atkins - 1874 - 428 pàgines
...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, Volum 1

University of Madras - 1874 - 502 pàgines
...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 Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pàgines
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 pàgines
...is equal to twice the angle CBD. 3. 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 &e. (5, IL) 9. In every triangle, the square...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pàgines
...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 Teachers' assistant and pupil teachers' guide, Volum 1

1876 - 400 pàgines
...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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