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" If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... "
The first and second books of Euclid explained to beginners, by C.P. Mason - Page 149
by Euclid, Charles Peter Mason - 1872
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Annual Report of the Commissioners ..., Volume 68

1902 - 482 pages
...with the square of the line between the points of section, is equal to the square of half the line. 5. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts, are equal to twice the rectangle contained by the whole,...
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Calendar of Dalhousie College and University

Dalhousie University - 1903 - 190 pages
...the intersection of its diagonals. 5. If a straight line be divided into any two parts, the sum of the squares on the whole line and on one of the parts is equal to the sum of twice the rectangle contained by the whole line and that part and the square...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...half and the part produced. Ex. 11OO. If a straight line is divided into any two parts, the sum of the squares on the whole line and on one of the parts is equal to twice the rectangle contained by the whole and that part, together with the square on the...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...EUCLID-S ELEMENTS. PROPOSITION 7. THEOREM. If a straight line is divided into any two parts, the sum of the squares on the whole line and on one of the parts is equal to twice the rectangle contained by the whole and that part, together with the square on the...
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Annual Report of the Commissioners ..., Volume 72

1906 - 818 pages
...parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 3. If a straight line be divided into any two parts,...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 Report - Dept. of Education

Saskatchewan. Department of Education - Education - 1906 - 188 pages
...rectangles contained b% every two of the segments. (d) Illustrate deduction (c) algebraically. 6. (a) If a straight line be divided into any two parts,...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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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 of the Commissioners ..., Volume 74

1908 - 650 pages
...divided into any two parts, the squares of the whole line and of one of the parts are equal to Geometry. twice the rectangle contained by the whole and that part, together with the square of the other part. 3. Prove that the diameter of a circle is the greatest chord ; that of others, one...
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Annual Report of the Association of Ontario Land Surveyors, Volume 17

Association of Ontario Land Surveyors - Surveying - 1909 - 254 pages
...Show that the angle made by this line witk the base is half the vertical angle of the triangle. 3. If a straight line be divided into any two parts,...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 other...
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Annual Calendar of McGill College and University

McGill University - 1883 - 404 pages
...sides, and compare the area of the given triangle with that of the triangle formed by these lines. 5. If a straight line be divided into any two parts,...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, foree,...
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