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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... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 93
by Robert Potts - 1876 - 403 pages
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...the same parallels. 6. 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...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
...b2- = a2 + 2ab + b2 + b* Therefore If a sect 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 the squares on half the sect and on the line made up of the half and the part produced. 107 304. The...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1886 - 394 pages
...+ P = a* + 2ab + P + P Therefore If a sect be bisected and produced to any point, the square OH the whole line thus 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...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1886 - 640 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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First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - Geometry - 1887 - 202 pages
...sq. on CD + sq. on CB + sq. on CD (by VII.)' = 2 sq. on AC + 2 sq. on CD (---CB = AC) PROP. X. — Let the straight line AB be bisected in C, and produced to D : then, the squares on AD, DB shall be double of the squares on AC, C D. A c BD II ! I By IV., Sq....
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...a greater angle. 6. If a straight line be bisected, and produced to any 11 point, the square on the whole line thus produced, and the square on the part...the line made up of the half and the part produced. 7. The angle at the centre of a circle is double of the 8 angle at the circumference upon the same...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...the whole line thus produced and the part produced are together double of the square on half the line and of the square on the line made up of the half...straight line AB be bisected in C and produced to D; the squares on AD, DB shall be together double of the squares on AC, CD. Sq. on AD = sqs. on AC,...
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Examinations Papers

1891 - 718 pages
...to the square on A C. 5. 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 sum of the squares on half the line bisected and on the line made up of the half and the part produced....
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...the whole line thus produced and the part produced are together double of the square on half the line and of the square on the line made up of the half and the part produced. 11. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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Yale Examination Papers

Yale University - 1892 - 200 pages
...rectilineal angle. 2. 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...the line made up of the half and the part produced. 3. A given angle ВАС is bisected ; if С A is produced to G-, and the angle BAG is bisected, prove...
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