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" IF a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. Let the straight line AB be divided... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Side 38
av Euclides - 1834
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...other side of the base shall be equal to one another. 4. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. 5. If a straight line falling on two other straight lines make the alternate angles...
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First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - 1887 - 180 sider
...BC = sq. on AC + 2 sq. on BC + 2 rect. AC, CB = sq.on AC + 2 rect. AB,BC (by III.). PROP. VIII. — Let the straight line AB be divided into any two parts in C, and produced to D, so that BD=BC : then shall the square on AD be equal to four times the rectangle...
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Annual Report

Canada. Department of the Interior - 1888
...given point parallel to a given straight line. 5. Show that if a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square on the whole line. 6. Show that if a straight line be divided into two equal, and also into two unequal...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 sider
...under CD, X + rect. under DB, X. Proposition 2. THEOREM — If a straight line is divided into two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. Let AB be a st. line divided in X. On AB describe sq. ABCD. Draw XY || to AD, and...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...algebraical illustrations of the above theorem. PROPOSITION 2. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. Let AB be divided at C. The rect. AB, AC with rect. AB, BO On AB describe the sq....
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 sider
...undivided line and the several parts of the divided line. 2. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the. whole line. 3. If a straight line be divided into any two parts, the rectangle contained by...
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Annual Report of the Commissioners ..., Volum 68

1902
...the diagonal does not pass, are equal to one another. 4. If a straight line be divided into any two parts, the rectangles contained by the whole and each...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 whole...
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