The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 49
EF is double of the square of GF . But G F is equal ( I. 34 ) to CD . Therefore the square of E F is double of the square of CD . But it has been proved that the square of AE is double of the square of A C. Therefore the squares of A E ...
EF is double of the square of GF . But G F is equal ( I. 34 ) to CD . Therefore the square of E F is double of the square of CD . But it has been proved that the square of AE is double of the square of A C. Therefore the squares of A E ...
Σελίδα 50
Therefore the squares of EC and CA are double of the square of CA. But the square of E A is equal ( I. 47 ) to the squares of EC and CA. Therefore the square of E A is double of the square of AC . Again , because G F is equal to E F ...
Therefore the squares of EC and CA are double of the square of CA. But the square of E A is equal ( I. 47 ) to the squares of EC and CA. Therefore the square of E A is double of the square of AC . Again , because G F is equal to E F ...
Σελίδα 69
The angle at the centre of a circle is double of the angle at the circumference standing upon the same arc , that is , upon the same part of the cir- cumference . Let A B C be a circle , BEC an angle at the centre , and BAC an angle at ...
The angle at the centre of a circle is double of the angle at the circumference standing upon the same arc , that is , upon the same part of the cir- cumference . Let A B C be a circle , BEC an angle at the centre , and BAC an angle at ...
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