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" If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Page 57
by Euclid, Isaac Todhunter - 1867 - 400 pages
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the line...of section is equal to the square on half the line. Show that the square on the whole line is equal to four times the rectangle and smaller square above...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 412 pages
...line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line...section, is equal to the square on half the line. 7. In a circle the angle in a semicircle is a right angle ; but the angle in a segment greater than...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the line...section, is equal to the square on half the line. Construct a rectangle equal to the difference of two given squares. 2. If a straight line drawn through...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line...section, is equal to the square on half the line. A a Z) S JB Let the st. line AB be divided equally in C and unequally Then must rect. AD, DB together...
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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 pages
...line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line...section, is equal to the square on half the line. By the 41st proposition of the first book, which proves that " if a parallelogram and a triangle be...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line...points of section, is equal to the square on half the lint. Let AB be divided into two equal parts at C, and into two unequal parts at D. Then rect. AD,...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...into two unequal, parts, the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. n . -n .-. A CDS unequally at D, then i iii If AB be divided equally at C and Describe...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line...section, is equal to the square on half the line. 4. Divide a given straight line into two parts, so that the rectangle contained by the whole and one...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...line be divided into two equal parts and -dso into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equalto the square on halftheline. Let the straight line AB be divided into two equal parts at the...
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The Bombay university calendar, Volume 1

Bombay city, univ - 1880 - 750 pages
...parts, the rectangle contained by the unequal parts, together with the square on the line Ijetween the points of section, is equal to the square on half the line. Deduce that the rectangle contained by the sum and difference of two lines is equal to the difference...
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