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" AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. "
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... - Page 136
by Richard Anthony Proctor - 1887 - 180 pages
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Calendar

University of Calcutta - 1906 - 1522 pages
...parallels, are eqnal in area. 3. If a straight line is divided into any two parts, prove that the sum 8 of the squares on the whole line and on one of the parts, is eqnal to twice the rectangle contained by the whole and that part, together with the sqnare on the...
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Annual Report - Dept. of Education

Saskatchewan. Department of Education - Education - 1906 - 188 pages
...(d) Illustrate deduction (c) algebraically. 6. (a) If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on...
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Annual Report of the Commissioners ..., Volume 73

1907 - 608 pages
...with the square of the line between the poiuts of section, is equal to the square of half the line. 4. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, may be equal to the square of the other. SECTION...
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Annual Report of the Association of Ontario Land Surveyors, Issue 22

Association of Ontario Land Surveyors - Surveying - 1907 - 218 pages
...two right angles. 4. Inscribe an equilateral triangle in a given circle; trisect a right angle. 5. To divide a given straight line into two parts so that the rectangle contained under the whole and one of the parts shall be equal to the square on the other...
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Annual Report of the Association of Ontario Land Surveyors, Volume 17

Association of Ontario Land Surveyors - Surveying - 1909 - 254 pages
...base is half the vertical angle of the triangle. 3. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square on the...
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Annual Calendar of McGill College and University

McGill University - 1883 - 404 pages
...with that of the triangle formed by these lines. 5. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle under NATURAL PHILOSOPHY. 1. Define elasticity, resultant, lever,...
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Annual Report of the Department of Education of the Province of ..., Volume 5

Alberta. Department of Education - Education - 1911 - 226 pages
...of any two straight lines is equal to the difference of the squares on the two straight lines. 9 8. To divide a given straight line into two parts so that the rectangle contained by the whole line and one part may be equal to the square on the other part. 11...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1912 - 300 pages
...sides, prove that the angle contained by those two sides is a right angle. Show, without proof, how to divide a given straight line into two parts, so that the sum of the squares on the two parts may be to the square on the whole line as 9 is to 16. (12) 7. Prove...
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Elementary Algebra: First[-second] Year Course, Volume 2

Florian Cajori, Letitia Rebekah Odell - Algebra - 1915 - 240 pages
...construction. In proposition 11, of Book II, of the Elements, Euclid solved by drawing lines the problem : To divide a given straight line into two parts, so that the rectangle contained by the whole line and one part of it may be equal to the square on the other part....
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Annual Report

Saskatchewan. Department of Education - Education - 1910 - 260 pages
...sides, prove that the square on the longer diagonal is three times the square on the shorter. 4. (a) To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part....
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