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If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that...
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Σελίδα 60
των Euclid, Isaac Todhunter - 1883 - 400 σελίδες
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...square of AC, ie to the square of the given line. (10.) To divide a given line into two such parts that the rectangle contained by the whole line and one of the parts may be (m) times the square of the other part, m being whole or fractional. Let AB be the given line,...

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...AC. Wherefore, if a straight line, &c. QED | ¿J J'rojjosiiion VIII. Theorem. If a straight line be divided into any two parts, four times the rectangle...line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole and that...

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...together with the " square of the difference of the lines. PROP. VIII. THEOR. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of I he parts? together with thesquare of the other part, is equal to the square of the straight line...

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...together with the " square of the difference of the lines." PROP. VIII. THEOR. If a straight line be divided into any two parts, four times the rectangle...line, and one of the parts, together with the square of the other part, is equalto the square of the straight line which is made up of the whole and the...

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