The first two books of the Elements of Euclid, with additional figures, notes, explanations, and deductions, by N. Pocock1852 |
From inside the book
Page 6
... centre of the circle . A. B. B [ In the above figures A is the centre of the circle ; B is not the centre . ] XVII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference ...
... centre of the circle . A. B. B [ In the above figures A is the centre of the circle ; B is not the centre . ] XVII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference ...
Page 11
... centre , at any distance from that centre . [ These three postulates are equivalent in practice to allowing a pen , a ruler , and a pair of compasses . Having these , the reader will be able to draw any of the figures in this book ...
... centre , at any distance from that centre . [ These three postulates are equivalent in practice to allowing a pen , a ruler , and a pair of compasses . Having these , the reader will be able to draw any of the figures in this book ...
Page 14
... centre A , at the distance AB , describe the circle BCD ; and from the centre B , at the distance BA , de- scribe the circle ACE ; and from the point C , in which the circles cut B E one another , draw the straight lines " , CA , CB ...
... centre A , at the distance AB , describe the circle BCD ; and from the centre B , at the distance BA , de- scribe the circle ACE ; and from the point C , in which the circles cut B E one another , draw the straight lines " , CA , CB ...
Page 15
... centre A and distance AB draw a small arc near where the two circles are likely to intersect . Then with centre B and distance BA touch the arc in the point C. Then with a pen and ruler join CA , CB . A B Before proceeding further ...
... centre A and distance AB draw a small arc near where the two circles are likely to intersect . Then with centre B and distance BA touch the arc in the point C. Then with a pen and ruler join CA , CB . A B Before proceeding further ...
Page 16
... centre B , at the dis- tance BC , described the circle CGH ; and from the centre D , at the dis- tance DG , describe the circle GKL . AL shall be equal to BC . K H D B G E طرح F Because the point B is the centre of the circle CGH , 15 ...
... centre B , at the dis- tance BC , described the circle CGH ; and from the centre D , at the dis- tance DG , describe the circle GKL . AL shall be equal to BC . K H D B G E طرح F Because the point B is the centre of the circle CGH , 15 ...
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The First Two Books of the Elements of Euclid, with Additional Figures ... Euclides No preview available - 2016 |
Common terms and phrases
adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angled triangle angles CBA angles equal Arithmetic base BC BC is equal bisected BOOK bound centre cloth coincide Delectus diameter double English Notes equal to BC equal to twice Eton Eton College Euclid's Elements Exercises exterior angle four right angles Geography given point given rectilineal angle given straight line gnomon greater Greek half a right interior and opposite isosceles JANE MARCET join Let ABC Let the straight Lexicon M.A. New Edition Maps opposite angle parallel to CD parallelogram perpendicular Post 8vo produced Proposition rectangle BC rectangle contained rectilineal figure remaining angle rhombus right angles Schools Shrewsbury School sides BA sides equal square described square of AC THEOR triangle ABC twice the rectangle VALPY Valpy's wherefore xxxi
Popular passages
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Page 12 - Mrs. R. Lee's Elements of Natural History ; or, First Principles of Zoology : Comprising the Principles of Classification, interspersed with amusing and instructive Accounts of the most remarkable Animals.
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Page 34 - ABD, the less to the greater, which is impossible ; therefore BE is not in the same straight line with BC. And in like manner, it may be demonstrated, that no other can be in the same straight line with it but BD, which therefore is in the same straight line with CB.
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