The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 47
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 ...
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 ...
Σελίδα 48
2 ) to four times the square of CB ; and twice the rectangle AC . C D is equal ( II . Ax . 2 ) to four times the rectangle A C. C B. Therefore , adding these equals , the square of C D and twice the rectangle A C. CD are together equal ...
2 ) to four times the square of CB ; and twice the rectangle AC . C D is equal ( II . Ax . 2 ) to four times the rectangle A C. C B. Therefore , adding these equals , the square of C D and twice the rectangle A C. CD are together equal ...
Σελίδα 168
Because all the angles of the triangles are together equal to twice as many right angles ( I. 32 ) as there are triangles ; that is , as there are sides in the polygon BCDEF ; and all the angles of the polygon , together with four right ...
Because all the angles of the triangles are together equal to twice as many right angles ( I. 32 ) as there are triangles ; that is , as there are sides in the polygon BCDEF ; and all the angles of the polygon , together with four right ...
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