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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... Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner Co Euclid. UNI TY liderio THE ELEMENTS OF EUCLID , , VIZ , THE FIRST. 817 do * See Note .
... Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner Co Euclid. UNI TY liderio THE ELEMENTS OF EUCLID , , VIZ , THE FIRST. 817 do * See Note .
Page 7
... note who assert this last , and the great- er part of geometers have ever since been of this opinion , as they thought it the most probable . Sir Henry Savile , after the several arguments he brings to prove it , makes this conclusion ...
... note who assert this last , and the great- er part of geometers have ever since been of this opinion , as they thought it the most probable . Sir Henry Savile , after the several arguments he brings to prove it , makes this conclusion ...
Page 10
... Note on the 29th Proposi- tion , Book 1st , is altered , and made more explicit , and a more general Demonstration is given , instead of that which was in the Note on the 10th Definition of Book 11th ; be- sides , the Translation is ...
... Note on the 29th Proposi- tion , Book 1st , is altered , and made more explicit , and a more general Demonstration is given , instead of that which was in the Note on the 10th Definition of Book 11th ; be- sides , the Translation is ...
Page 17
... equal to DB , the angle BDC is equal ( 5. 1. ) to the angle BCD ; but it has been demon- strated to be greater than it ; which is impossible . C * See Note . But if one of the vertices , as D , BOOK I. 17 THE ELEMENTS OF EUCLID .
... equal to DB , the angle BDC is equal ( 5. 1. ) to the angle BCD ; but it has been demon- strated to be greater than it ; which is impossible . C * See Note . But if one of the vertices , as D , BOOK I. 17 THE ELEMENTS OF EUCLID .
Page 20
... straight lines ABC , ABD have the segment AB common to both of them . From the point B draw BE at right angles to AB ; and because ABC is a straight * See Note . line , the angle CBE is equal ( 10 . 20 BOOK I. THE ELEMENTS OF EUCLID .
... straight lines ABC , ABD have the segment AB common to both of them . From the point B draw BE at right angles to AB ; and because ABC is a straight * See Note . line , the angle CBE is equal ( 10 . 20 BOOK I. THE ELEMENTS OF EUCLID .
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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