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 |
Inni boken
Resultat 6-10 av 100
Side 30
... be not equal to DE , one of them must be the greater . Let AB be the greater of the two , and make BG equal to DE and join GC ; therefore , because BG is equal to DE , and BC to EF , the two sides GB , BC 30 BOOK I. THE ELEMENTS OF EUCLID .
... be not equal to DE , one of them must be the greater . Let AB be the greater of the two , and make BG equal to DE and join GC ; therefore , because BG is equal to DE , and BC to EF , the two sides GB , BC 30 BOOK I. THE ELEMENTS OF EUCLID .
Side 36
... join the extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal ... Join BC ; and because AB is parallel to CD ; and BC meets them , the alter- nate angles ABC , BCD are equal ( 29. 1 ...
... join the extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal ... Join BC ; and because AB is parallel to CD ; and BC meets them , the alter- nate angles ABC , BCD are equal ( 29. 1 ...
Side 39
... Join BE , CH ; and because BC is equal to FG , and FG to ( 34. 1. ) EH , BC is equal to EH ; and they are parallels , and joined towards the same parts by the straight lines BE , CH ; but straight lines which join equal and parallel ...
... Join BE , CH ; and because BC is equal to FG , and FG to ( 34. 1. ) EH , BC is equal to EH ; and they are parallels , and joined towards the same parts by the straight lines BE , CH ; but straight lines which join equal and parallel ...
Side 40
... Join AD ; AD is parallel to BC : for , if it is not , through the point A draw ( 31. 1. ) AE parallel to BC , and join EC ; the triangle Ꭰ E ABC is equal ( 37. 1. ) to 40 BOOK I. THE ELEMENTS OF EUCLID .
... Join AD ; AD is parallel to BC : for , if it is not , through the point A draw ( 31. 1. ) AE parallel to BC , and join EC ; the triangle Ꭰ E ABC is equal ( 37. 1. ) to 40 BOOK I. THE ELEMENTS OF EUCLID .
Side 41
... Join AD ; AD is parallel to BC ; for if it is not , through A draw ( 31. 1. ) AG parallel to BF , and join GF : the triangle ABC is equal ( 38. 1. ) to the triangle GEF , because they are upon equal bases BC , EF , and between the same ...
... Join AD ; AD is parallel to BC ; for if it is not , through A draw ( 31. 1. ) AG parallel to BF , and join GF : the triangle ABC is equal ( 38. 1. ) to the triangle GEF , because they are upon equal bases BC , EF , and between the same ...
Andre utgaver - Vis alle
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
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