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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 56
per John Playfair - 1819 - 333 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 - 428 pàgines
...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 the straight line AB be bisected in C, and divided unequally in D ; AD • DB...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pàgines
...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
...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 - 426 pàgines
...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 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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pàgines
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 pàgines
...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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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pàgines
...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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Examination Christmas,1875

Education Department,London - 1876 - 1010 pàgines
...triangle, AB being equal to 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 the square on half the line. AD, the triangle...
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