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 CorrectedP. Wogan, 1803 - 520 sider |
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Resultat 6-10 av 73
Side 79
... must be within the fame cir- cle , which is abfurd : Therefore one circle cannot touch another on the out- fide in more than one point : And it b B has been fhewn , that they cannot touch on the infide in more points than one ...
... must be within the fame cir- cle , which is abfurd : Therefore one circle cannot touch another on the out- fide in more than one point : And it b B has been fhewn , that they cannot touch on the infide in more points than one ...
Side 82
... must fall without the circle , as AE . C 12. I. d 19. 1 . 2. 3 . C d F E And between the ftraight line AE and the circumference no ftraight line can be drawn from the point A which does not . cut the circle : For , if poffible , let FA ...
... must fall without the circle , as AE . C 12. I. d 19. 1 . 2. 3 . C d F E And between the ftraight line AE and the circumference no ftraight line can be drawn from the point A which does not . cut the circle : For , if poffible , let FA ...
Side 93
... must be less than a right angle ; and therefore the angle in a fegment ABC greater than a femicircle , is less than a right angle . And because ABCD is a quadrilateral figure in a circle , any two of its oppofite angles are equal to two ...
... must be less than a right angle ; and therefore the angle in a fegment ABC greater than a femicircle , is less than a right angle . And because ABCD is a quadrilateral figure in a circle , any two of its oppofite angles are equal to two ...
Side 182
... must be equal . It is required to defcribe a rectilineal figure fimilar to ABC , and equal to D. 2Cor . 45. Upon the ftraight line BC defcribe the parallelogram BE equal to the figure ABC ; alfo upon CE defcribe the paral- lelogram CM ...
... must be equal . It is required to defcribe a rectilineal figure fimilar to ABC , and equal to D. 2Cor . 45. Upon the ftraight line BC defcribe the parallelogram BE equal to the figure ABC ; alfo upon CE defcribe the paral- lelogram CM ...
Side 184
... must be about the fame diameter . Therefore , if two fimilar , & c . Q. E. D. See N. To understand the three following propofitions more easily , it is to be observed , 1. That a parallelogram is faid to be applied to a straight line ...
... must be about the fame diameter . Therefore , if two fimilar , & c . Q. E. D. See N. To understand the three following propofitions more easily , it is to be observed , 1. That a parallelogram is faid to be applied to a straight line ...
Andre utgaver - Vis alle
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Robert Simson Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fide BC fides fimilar fince firft firſt folid angle fome fore fphere fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt parallel parallelogram parallelopipeds perpendicular polygon prifms propofition proportionals pyramid rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe tiple triangle ABC vertex wherefore