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 ix
In the same manner , the quadrature of the circle is performed only hy approximation , or by finding two rectangles nearly equal to one another , one of them greater , and another less than the space contained within the circle .
In the same manner , the quadrature of the circle is performed only hy approximation , or by finding two rectangles nearly equal to one another , one of them greater , and another less than the space contained within the circle .
Σελίδα x
1 introducing a mode of reasoning less rigorous than that of the Greek Geometer ; for this would be to pay too dear even for the time that might thereby be saved : but it is done chiefly by laying aside a certain rule , which , though ...
1 introducing a mode of reasoning less rigorous than that of the Greek Geometer ; for this would be to pay too dear even for the time that might thereby be saved : but it is done chiefly by laying aside a certain rule , which , though ...
Σελίδα 23
PROB From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C ...
PROB From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C ...
Σελίδα 24
... AC be produced to D and E , the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater cut off AG equal ( 3. 1. ) to AF , the less , and join FC , GB .
... AC be produced to D and E , the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater cut off AG equal ( 3. 1. ) to AF , the less , and join FC , GB .
Σελίδα 25
off DB equal to AC the less , and join DC ; therefore , beΑ . cause in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , D CB , each to each ; but the angle DBC is also ...
off DB equal to AC the less , and join DC ; therefore , beΑ . cause in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , D CB , each to each ; but the angle DBC is also ...
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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 |