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" AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. "
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... - Page 136
by Richard Anthony Proctor - 1887 - 180 pages
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Sessional Papers, Volume 22, Part 2

Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...equation has its two roots equal to one another. 9. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - Boys - 1900 - 566 pages
...equation has its two roots equal to one another. 9. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
.... QB + AB2 n. 7. =2AQ . QB + 4 PB2 n. 4, Cor. 2. =2(PQ2-PB2) + 4PBa n. 6. PROPOSITION 11. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. K Let AB...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 558 pages
...of the interior angles at the other two corners 3. If a straight line be divided into any two parts the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the whole line and that part together with the...
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Special Reports on Educational Subjects, Volumes 6-7

Great Britain. Board of Education - Education - 1900 - 906 pages
...equation has its two roots equal to one another. 9. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice tho rectangle contained by the whole and that part, together with tho square on...
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Examination Papers

University of Toronto - 1901 - 1190 pages
...parallelogram ADBE be completed so that E is on the side of AB remote from D, then CE is bisected by AB.\ 3. To divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the |>art8 may be equal to the square on the other...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...Show that this includes some of Euclid's propositions, in Book II., as particular cases. 5. Show how to divide a given straight line into two parts, so that the square on one part may be equal to the rectangle contained by the whole line and the other part. 6....
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...half and the part produced. Ex. 11OO. If a straight line is divided into any two parts, the sum of the squares on the whole line and on one of the parts is equal to twice the rectangle contained by the whole and that part, together with the square on the...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...2AQ . QB + AB2 n. 7. = 2AQ . QB + 4PB2 n. 4, Cor. 2. 150 EUCLID-S ELEMENTS. PROPOSITION 11. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. Let AB...
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Annual Report of the Commissioners ..., Volume 72

1906 - 818 pages
...having an angle equal to a given rectilineal angle. 3. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on...
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