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 35
DF equal to A , FG to B , and GH equal to C ; and from the D centre F , at the distance F FD , describe ( 3. Post ) the circle DKL ; and from L the centre G , at the distance GH , describe ( 3 . Post . ) another circle HLK ; A and join ...
DF equal to A , FG to B , and GH equal to C ; and from the D centre F , at the distance F FD , describe ( 3. Post ) the circle DKL ; and from L the centre G , at the distance GH , describe ( 3 . Post . ) another circle HLK ; A and join ...
Σελίδα 36
Therefore , at the given point A in the given straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP . XXIV . THEOR . If two triangles have two sides of the one equ il to two ...
Therefore , at the given point A in the given straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP . XXIV . THEOR . If two triangles have two sides of the one equ il to two ...
Σελίδα 37
ܪ equal to the two sides DE , DF , each to each , viz AB equal to DE , and AC to DF : but let the base CB be greater than the base EF , the angle BAC is likewise greater than the angle EDF . For , if it be not greater , it must either ...
ܪ equal to the two sides DE , DF , each to each , viz AB equal to DE , and AC to DF : but let the base CB be greater than the base EF , the angle BAC is likewise greater than the angle EDF . For , if it be not greater , it must either ...
Σελίδα 38
DEF , and the other apgles to the other angles , each to each , to which the equal sides are opposite ; therefore the angle GCB is equal to the angle DFE but DFE is , by the hypothesis , equal to the angle BCA ; wherefore also the angle ...
DEF , and the other apgles to the other angles , each to each , to which the equal sides are opposite ; therefore the angle GCB is equal to the angle DFE but DFE is , by the hypothesis , equal to the angle BCA ; wherefore also the angle ...
Σελίδα 39
than the interior and oppo site angle EFG ; but it is also equal to it , which is impossible therefore , AB Α . E B and CD beiog produced , do not meet towards B , D. In like mannerit may 6 be demonstrated that they с F D do not meet ...
than the interior and oppo site angle EFG ; but it is also equal to it , which is impossible therefore , AB Α . E B and CD beiog produced , do not meet towards B , D. In like mannerit may 6 be demonstrated that they с F D do not meet ...
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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 |