The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also the Book of Euclid's Data, in Like Manner CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 sider |
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Side 30
... Take in CD , CE any points D , E , and a 22. 1. join DE ; and make a the triangle AFG the fides of which fhall be equal to the three ДД B G ftraight lines CD , DE , CE , so that CD be equal to AF , CE to AG , and DE to FG ; and because ...
... Take in CD , CE any points D , E , and a 22. 1. join DE ; and make a the triangle AFG the fides of which fhall be equal to the three ДД B G ftraight lines CD , DE , CE , so that CD be equal to AF , CE to AG , and DE to FG ; and because ...
Side 35
... Take away the common angle BGH ; therefore the remaining angle AGH is equal to the re- maining angle GHD ; and they are alternate angles ; therefore AB is parallel to CD . Wherefore , if a straight line , & c . Q E. D. I PROP . XXIX ...
... Take away the common angle BGH ; therefore the remaining angle AGH is equal to the re- maining angle GHD ; and they are alternate angles ; therefore AB is parallel to CD . Wherefore , if a straight line , & c . Q E. D. I PROP . XXIX ...
Side 36
... take any point D , and join AD ; and at the point A , in the E a 23. 1. ftraight line AD make a the angle B DAE equal to the angle ADC ; and produce the traight line EA to F. D C Because the ftraight line AD , which meets the two ...
... take any point D , and join AD ; and at the point A , in the E a 23. 1. ftraight line AD make a the angle B DAE equal to the angle ADC ; and produce the traight line EA to F. D C Because the ftraight line AD , which meets the two ...
Side 40
... take the triangle FDC from the trapezium ABCF , and from the fame trapezium take the triangle EAB ; the remainders therefore are equal f , that is , the parallelogram ABCD is equal to the parallelogram EBCF . Therefore parallelograms ...
... take the triangle FDC from the trapezium ABCF , and from the fame trapezium take the triangle EAB ; the remainders therefore are equal f , that is , the parallelogram ABCD is equal to the parallelogram EBCF . Therefore parallelograms ...
Side 62
... Take away the fquare of AE , A which is common to both , therefore the remaining rectangle CF , FA is e- qual to the fquare of AB : and the fi- E gure FK is the rectangle contained by CF , FA , for AF is equal to FG ; and AD is the ...
... Take away the fquare of AE , A which is common to both , therefore the remaining rectangle CF , FA is e- qual to the fquare of AB : and the fi- E gure FK is the rectangle contained by CF , FA , for AF is equal to FG ; and AD is the ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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