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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 on the line between the points of section, is equal to the square on half the line. "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Page 57
by Euclid, Isaac Todhunter - 1867 - 400 pages
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...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. Let AB be divided into two equal parts in the point C, and into two unequal parts...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...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...the straight line AB be divided into two equal parts in the point C, and into two unequal parts in the point D. Then the rectangle AD, DB, together with...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...unequal parts, the rectangle contained by the two unequal parts, together with the square on the part between the points of section, is equal to the square...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...
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The Madras University Calendar, Volume 1

University of Madras - 1874 - 502 pages
...divided into two equal parts and also into two unequal parts, prove that the rectangle contained by the unequal parts, together with the square on the line...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 by the whole...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...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 line AB be bisected in C, and divided unequally in D ; AD • DB The rectangle AD, BD, together with the square...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...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 the straight line AB be bisected in C, and divided unequally in D ; AD • DB The rectangle...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...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. Illustrate the truth of this proposition by taking the whole straight line AB to...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...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...square on half the line. Let the straight line AB be bisected in C, and divided unequally in D ; AT, -pa The rectangle AD, BD, together with 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
...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...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, DB together with sq. on...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...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...section, is equal to the square on half the line. . . : ' > ) 3. If from the right angle of a right-angled triangle lines be drawn to the opposite angles...
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