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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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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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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884
...one shall be equal to the angle which is contained by the two sides, equal to them, of the other. 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...

The Elements of Plane Geometry

Euclid - 1845 - 262 σελίδες
...angle A is four-thirds of a right angle ; prove that BC2 = CA2 + AB2 + rect. CA . AB. 168. 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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The Bombay University Calendar

University of Bombay - 1902
...straight line be divided into any two parts, the squares on the 5 whole line and one of the parts are equal to twice the rectangle contained by the whole...part, together with the square on the other part. 4. If. two adjacent sides of a quadrilateral described about a circle be 8 equal, shew that two opposite...

The Melbourne University Calendar

University of Melbourne - 1868
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1888
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Examinations Papers

1876
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Examinations Papers

1877
...mistahe.) 6. If a straight line be divided into any two parts, the square on the whole line and the square on one of the parts are together equal to twice the rectangle contained by the whole line and that part together with the square on that part. 7. If a straight line be divided into two...

Parliamentary Papers, Τόμος 42

Great Britain. Parliament. House of Commons - 1864
...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. Hence show that tlie squares of any two unequal straight lines are together greater...




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