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" If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made... "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 83
by Euclides - 1871
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 800 pages
...angle equal to 1 In any triangle what is the square of a side opposite an acute angle equal to ? 5. If a straight line be bisected and produced to any...bisected, is equal to the square on the straight line made up of the half and the part produced. NB—Female candidates for class I. will omit the 3rd and...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 806 pages
...angle equal to 1 In any triangle what is the square of a side opposite an acute angle equal to 1 5. If a straight line be bisected and produced to any point the rectangle contained bj the whole line thus produced and the part of it produced, together with the square on half the line...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...EXERCISES. 1. Prove that the square on a straight line is nine times the square on one third of the line. 2. If a straight line be bisected and produced to any point, the square on the whole line thus produced is equal to the square on the part produced together with twice...
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Annual Report of the Chief Superintendent of Education

1894 - 832 pages
...angle equal to 1 In any triangle what is the square of a side opposite an acute angle equal to ? 5. If a straight line be bisected and produced to any...bisected, is equal to the square on the straight line made up of the half and the part produced. NB — Female candidates for class I. will omit the 3rd...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...is either the middle point of BC or the foot of the perpendicular from A on BC. TE 10 PROPOSITION 6. If a straight line be bisected, and produced to any point, the sum of the rectangle contained by the whole line thus produced and the part of it produced, and the...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...twice the rectangle contained by the two parts. 7. If a straight line is bisected and produced to any 9 point, the rectangle contained by the whole line thus produced, and the |»art of it produced, together with the square >n hilf tbe line bisected, is equal t'> the square...
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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 pages
...Describe a squaiv e jual to a given rectilineal figure. II. 14. (5) Produce a given straight line so that the rectangle contained by the whole line thus produced and the part produced may be equal to the square on another given line. B. 6. (a) Kind the centre of a given circle....
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...squares on AB and AD is equivalent to the rectangle contained by BD and CD. 607. If a straight line is bisected and produced to any point, the rectangle...together with the square on half the line bisected is equivalent to the square on the straight line which is made up of the half and the part produced. 608....
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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
...rectangle which ia equal to the square, find the other side. 40. Produce a given straight line so that the rectangle contained by the whole line thus produced and the part produced, may be equal to the square on another given line. 41. Produce a given straight line so that...
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Annual Report of the Commissioners ..., Volume 68

1902 - 482 pages
...parts, are together equal to the square of the whole line. 5. If a straight line be bisected and be produced to any point, the rectangle contained by...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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