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 7
... Definitions and Demonstrations as they are in 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 ...
... Definitions and Demonstrations as they are in 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 ...
Side 8
... Definition which Eudoxus or Euclid had given of com- pound ratio , and giving an absurd one in place of it in the 5th Definition of the 6th Book , which neither Euclid , Archimedes , Appollonius , nor any geometer before The- on's time ...
... Definition which Eudoxus or Euclid had given of com- pound ratio , and giving an absurd one in place of it in the 5th Definition of the 6th Book , which neither Euclid , Archimedes , Appollonius , nor any geometer before The- on's time ...
Side 9
... Definition of the 11th Book , which is not a right definition , because there may be solids con- tained by the same number of similar plane figures , which are not similar to one another , in the true sense of simi- larity received by ...
... Definition of the 11th Book , which is not a right definition , because there may be solids con- tained by the same number of similar plane figures , which are not similar to one another , in the true sense of simi- larity received by ...
Side 10
... Definition of Book 11th ; be- sides , the Translation is much amended by the friendly assistance of a learned ... DEFINITIONS . I. PREFACE .
... Definition of Book 11th ; be- sides , the Translation is much amended by the friendly assistance of a learned ... DEFINITIONS . I. PREFACE .
Side 11
... DEFINITIONS . I. A POINT is that which hath no parts , or which hath no mag- nitude . * A line is length without breadth . II . III . The extremities of a line are points . IV . A straight line is that which lies evenly between its ...
... DEFINITIONS . I. A POINT is that which hath no parts , or which hath no mag- nitude . * A line is length without breadth . II . III . The extremities of a line are points . IV . A straight line is that which lies evenly between its ...
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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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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