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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. "
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 56
by Euclides - 1845
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...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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The Madras University Calendar, Volume 1

University of Madras - 1874 - 502 pages
...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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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...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 Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...equal to four right angles. 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. If a straight...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...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, Volume 1

1876 - 400 pages
...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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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...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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Annual Report

1876 - 710 pages
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...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, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...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 st. line AB be divided equally in C and unequally in P. Then must reel. AD,...
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