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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 - Σελίδα 149
των Euclid, Charles Peter MASON - 1872
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 355 σελίδες
...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...

A Text-book of Euclid's Elements for the Use of Schools, Βιβλίο 1

Euclid - 1904 - 456 σελίδες
...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...

Annual Report of the Commissioners ..., Τόμος 72

1906
...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...

Annual Report - Dept. of Education

Saskatchewan. Department of Education - 1906
...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...

Calendar

University of Calcutta - 1906
...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...

Annual Report of the Commissioners ..., Τόμος 74

1908
...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...

Annual Calendar of McGill College and University

McGill University - 1883
...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,...

The Dublin University Calendar, Τόμος 1

Trinity College (Dublin, Ireland) - 1910
...parallelogram having an angle equal to a given angle and its area equal to the area of a given triangle. 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 and...

Educational Review

Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - 1906
...(b+c)x+«*=o and a be not equal to b, prove that each equation has its two roots equal to one another. 9. 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...

A First Course of Geometry

...the angle A is two-thirds of a right angle ; prove that BC2 = CA2 + AB2 + rect. CA.AB. 95. PROP. 4. 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 line and that part together with the square on...
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