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 CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
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Side 47
... reason , AB and AH are in the same straight line ; and because the angle DBC is equal to the angle FBA , each of them being a right an- gle , add to each the angle ABC , and the whole angle DBA is equal ( 2. Ax . ) to the whole FBC and ...
... reason , AB and AH are in the same straight line ; and because the angle DBC is equal to the angle FBA , each of them being a right an- gle , add to each the angle ABC , and the whole angle DBA is equal ( 2. Ax . ) to the whole FBC and ...
Side 52
... reason HF also is a square , and it is upon the side HG , which is equal to AC : therefore HF , CK are the squares of AC , CB ; and because the complement AG is equal ( 43. 1. ) to the complement GE , and that AG is the rectangle con ...
... reason HF also is a square , and it is upon the side HG , which is equal to AC : therefore HF , CK are the squares of AC , CB ; and because the complement AG is equal ( 43. 1. ) to the complement GE , and that AG is the rectangle con ...
Side 55
... and construct two figures such as in the preceding . Because CB is equal to BD , and that CB is equal ( 34. 1.3 to GK , and BD , to KN ; therefore GK is C B equal to KN ; for the same reason BOOK II . 55 THE ELEMENTS OF EUCLID .
... and construct two figures such as in the preceding . Because CB is equal to BD , and that CB is equal ( 34. 1.3 to GK , and BD , to KN ; therefore GK is C B equal to KN ; for the same reason BOOK II . 55 THE ELEMENTS OF EUCLID .
Side 56
... reason , PR is equal to RO ; and be- cause CB is equal to BD , and GK to KN , the rectangle CK is equal ( 36. 1. ) to BN , and GR to RN ; but CK is equal ( 43. 1. ) to RN , because they are the complements of the parallelogram CO ...
... reason , PR is equal to RO ; and be- cause CB is equal to BD , and GK to KN , the rectangle CK is equal ( 36. 1. ) to BN , and GR to RN ; but CK is equal ( 43. 1. ) to RN , because they are the complements of the parallelogram CO ...
Side 57
... reason each of the angles CEB , EBC is half a right angle ; and therefore the whole AEB is a right angle : and because the angle GEF is half a right angle , and EGF a right angle , for it is equal ( 29. 1. ) to the interior and opposite ...
... reason each of the angles CEB , EBC is half a right angle ; and therefore the whole AEB is a right angle : and because the angle GEF is half a right angle , and EGF a right angle , for it is equal ( 29. 1. ) to the interior and opposite ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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