The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page v
... definition which Eudoxus or Euclid had given of compound ratio and giving an absurd one in place of it in the 5th Definition of the 6th Book , which neither Euclid , Archimedes , Apollonius , nor any geometer be- fore Theon's time ...
... definition which Eudoxus or Euclid had given of compound ratio and giving an absurd one in place of it in the 5th Definition of the 6th Book , which neither Euclid , Archimedes , Apollonius , nor any geometer be- fore Theon's time ...
Page vi
... Definition ; because the equality of figures of any kind must be demonstrated , and not assumed ; and therefore , though this were a true proposition , it ought to have been demonstrated . But indeed this Proposition , which makes the ...
... Definition ; because the equality of figures of any kind must be demonstrated , and not assumed ; and therefore , though this were a true proposition , it ought to have been demonstrated . But indeed this Proposition , which makes the ...
Page vii
... Definition of Book 11th ; besides , the translation is much amended by the friendly assistance of a learned gentleman . This Paragraph ( it is believed ) was added by Dr. Simson to the Preface for the second edition in 1763 . JOLL TO ...
... Definition of Book 11th ; besides , the translation is much amended by the friendly assistance of a learned gentleman . This Paragraph ( it is believed ) was added by Dr. Simson to the Preface for the second edition in 1763 . JOLL TO ...
Page 1
... DEFINITIONS . I. A POINT is that which hath no parts , or which hath no See Notes . magnitude . II . A line is length without breadth . III . The extremities of a line are points . IV . A straight line is that which lies evenly between ...
... DEFINITIONS . I. A POINT is that which hath no parts , or which hath no See Notes . magnitude . II . A line is length without breadth . III . The extremities of a line are points . IV . A straight line is that which lies evenly between ...
Page 3
... figures , or polygons , by more than four straight lines . XXIV . Of three - sided figures , an equilateral triangle is that which has three equal sides . B 2 " XXV . An isosceles triangle is that which has BOOK I. - DEFINITIONS , & c . GO.
... figures , or polygons , by more than four straight lines . XXIV . Of three - sided figures , an equilateral triangle is that which has three equal sides . B 2 " XXV . An isosceles triangle is that which has BOOK I. - DEFINITIONS , & c . GO.
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The Elements Of Euclid: Viz. The First Six Books, Together With The Eleventh ... Robert Simson,Euclid,John Davidson No preview available - 2019 |
Common terms and phrases
ABC is given AC is equal altitude angle ABC angle BAC base BC bisected centre circle ABCD circumference common logarithm cone Constr 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 logarithm multiple opposite parallel parallelogram AC perpendicular polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle contained rectilineal figure right angles segment shewn 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