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" If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected; and of the square on the line made up of the... "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Page 88
by Euclides, James Hamblin Smith - 1872 - 349 pages
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected and of the square...the line made up of the half and the part produced. ALGEBRA. 1. If c be a common measure of A and B it will also measure mA + mB, where mn represent any...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected and of the square...the line made up of the half and the part produced. Sqq. on AD, DB = twice sqq. on AC, CD. Cons. — Describe the sq. on AD (I. 46). Construct two sqq....
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...square on the whole line thus produced and the square on the part of it produced are together double of the square on half the line bisected and of the square...the line made up of the half and the part produced. 8. From two given points on the same side of a line given in position, draw two lines which shall meet...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...square on the part of it produced, are together double of the square on half the line bisected, ani of the square on the line made up of the half and the part produced. i. Reduce form. 2. Solve the equations : — (I) _L+_4?\ to the simplest (2) I2JT2 = X + 1740....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected and of the square on the line inade up of the half and the part produced. Let the straight line AB be bisected at C, and produced...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...thus produced and the part of it produced, together with the square on half the line bisected, equals the square on the line made up of the half and the part produced. — (En. II. 6.) 9. Divide a given straight line internally into two parts so that the rectangle contained...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...part of it produced, are together twice the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let AB be bisected in C, and produced to D ; then the squares of AD, DB, are twice the squares of AC, CD...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected and of the square...the line made up of the half and the part produced. 7. In any right-angled triangle, the square which is described on the side subtending the right angle...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1885 - 389 pages
...produced and the square on the part of it produced are together double the squares on half the sect and on the line made up of the half and the part produced. 107 304. The projection of a sect upon a line is the part between the perpendiculars dropped upon the...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1886 - 642 pages
...whole line thus produced, and the part produced, together with the square on half the line, is equal to the square on the line made up of the half and the part produced. In a right angled triangle show that the square on the perpendicular equals the rectangle under the...
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