Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
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Σελίδα 29
To draw a straight line perpendicular to a given straight line , of an unlimited length , from a given point without ... FG in H , and D join CF , CH , CG ; the straight line CH , drawn from the given point C , is perpendicular to the ...
To draw a straight line perpendicular to a given straight line , of an unlimited length , from a given point without ... FG in H , and D join CF , CH , CG ; the straight line CH , drawn from the given point C , is perpendicular to the ...
Σελίδα 34
If from the ends of one side of a triangle , there be drawn two straight lines to a point within the triangle , these two lines shall be less than the other two sides of the triangle , but shall contain a greater angle .
If from the ends of one side of a triangle , there be drawn two straight lines to a point within the triangle , these two lines shall be less than the other two sides of the triangle , but shall contain a greater angle .
Σελίδα 40
For if AGH be not equal to GHD , let KG be drawn making the angle KGH equal to GHD , and produce KG to L ; then KL will be parallel to CD ( 27. 1. ) ; but E AB is also parallel to CD ; LL therefore two straight lines А are drawn through ...
For if AGH be not equal to GHD , let KG be drawn making the angle KGH equal to GHD , and produce KG to L ; then KL will be parallel to CD ( 27. 1. ) ; but E AB is also parallel to CD ; LL therefore two straight lines А are drawn through ...
Σελίδα 41
Let A be the given point , and BC the given straight line , it is required to draw a straight line Α . through the point A ... Therefore the straight line EAF is drawn through the given point A parallel to the given straight line BC .
Let A be the given point , and BC the given straight line , it is required to draw a straight line Α . through the point A ... Therefore the straight line EAF is drawn through the given point A parallel to the given straight line BC .
Σελίδα 44
Produce AD both ways to the points G , H , and through B draw BG parallel ( 31. 1. ) to CA , and through F draw FH parallel to ED : Then each of the figures GBCA , DEFH is a paralG D lelogram ; and they are equal to ( 36. 1. ) ...
Produce AD both ways to the points G , H , and through B draw BG parallel ( 31. 1. ) to CA , and through F draw FH parallel to ED : Then each of the figures GBCA , DEFH is a paralG D lelogram ; and they are equal to ( 36. 1. ) ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole
Πληροφορίες βιβλιογραφίας
| Τίτλος | Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
| Συγγραφέας | John Playfair |
| Εκδότης | E. Duyckinck, and George Long, 1824 |
| Πρωτότυπο από | Πανεπιστήμιο της Ιντιάνα |
| Ψηφιοποιήθηκε στις | 15 Ιαν. 2009 |
| Μέγεθος | 333 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |