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 Corrected |
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Page 7
... Greek editions we now have , I found that Theon , or whoever was the editor of the present Greek text , by adding some things , suppressing others , and mix- ing his own with Euclid's Demonstrations , had changed more things to the ...
... Greek editions we now have , I found that Theon , or whoever was the editor of the present Greek text , by adding some things , suppressing others , and mix- ing his own with Euclid's Demonstrations , had changed more things to the ...
Page 80
... Greek text and translations from it , the angle of the semicircle is said to be greater than any acute rectilineal angle , and the remaining angle less than any rectilineal angle . ' COR . From this it is manifest , that the straight ...
... Greek text and translations from it , the angle of the semicircle is said to be greater than any acute rectilineal angle , and the remaining angle less than any rectilineal angle . ' COR . From this it is manifest , that the straight ...
Page 91
... right angle CAB , but the cir- cumference of the less segment ADC falls within the right an- gle CAF . " And this is all that is meant , when in the Greek 1 text , and the translations from it , the BOOK III . 91 THE ELEMENTS OF EUCLID .
... right angle CAB , but the cir- cumference of the less segment ADC falls within the right an- gle CAF . " And this is all that is meant , when in the Greek 1 text , and the translations from it , the BOOK III . 91 THE ELEMENTS OF EUCLID .
Page 271
... Greek , because the pyra- mid , in what follows , is supposed to be circumscribed about the cone , and so must have the same vertex . And the same change is made in some places following . ( Lem . 1. ) than the solid Z : BOOK XII . 271 ...
... Greek , because the pyra- mid , in what follows , is supposed to be circumscribed about the cone , and so must have the same vertex . And the same change is made in some places following . ( Lem . 1. ) than the solid Z : BOOK XII . 271 ...
Page 293
... GREEK TEXT ; AND THE REASONS OF THE ALTERATIONS WHICH HAVE BEEN MADE . AS ALSO OBSERVATIONS ON SOME OF THE PROPOSITIONS . BY ROBERT SIMSON , M. D. IMERITUS PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OF GLASGOW . NOTES , & c . DEFINITION ...
... GREEK TEXT ; AND THE REASONS OF THE ALTERATIONS WHICH HAVE BEEN MADE . AS ALSO OBSERVATIONS ON SOME OF THE PROPOSITIONS . BY ROBERT SIMSON , M. D. IMERITUS PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OF GLASGOW . NOTES , & c . DEFINITION ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid No preview available - 2018 |
Common terms and phrases
altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore