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 51
with AG ; K for the same reason , AB and AH are in the same straight line . Now because the angle DBC is B equal to the angle FBA , each of them being a right angle , adding to each the angle ABC , the whole angle DBA will ...
with AG ; K for the same reason , AB and AH are in the same straight line . Now because the angle DBC is B equal to the angle FBA , each of them being a right angle , adding to each the angle ABC , the whole angle DBA will ...
Σελίδα 55
... the parallelogram CGKB are also right angles ( Cor . 46. 1. ) . Wherefore CGKB is a square , and it is upon the side CB . For the same reason HF also is a square , and 2 it is upon the side HG , which is OF GEOMETRY . 55 BOOK II .
... the parallelogram CGKB are also right angles ( Cor . 46. 1. ) . Wherefore CGKB is a square , and it is upon the side CB . For the same reason HF also is a square , and 2 it is upon the side HG , which is OF GEOMETRY . 55 BOOK II .
Σελίδα 58
For the same reason , PR is equal to RO ; and because CB is equal to BD , and GK to KN , the rectangles CK and BN are equal , as also the rectangles GR and RN : But CK is equal ( 43. 1. ) to RN , because they are the complements of the ...
For the same reason , PR is equal to RO ; and because CB is equal to BD , and GK to KN , the rectangles CK and BN are equal , as also the rectangles GR and RN : But CK is equal ( 43. 1. ) to RN , because they are the complements of the ...
Σελίδα 59
For the same reason each of E the angles CEB , EBC is half a right angle : and therefore the whole AEB is a right angle : And because the angle G GEF is half a right angle , and EGF a right angle , for it is equal ( 29. 1. ) ...
For the same reason each of E the angles CEB , EBC is half a right angle : and therefore the whole AEB is a right angle : And because the angle G GEF is half a right angle , and EGF a right angle , for it is equal ( 29. 1. ) ...
Σελίδα 60
For the same reason , each of the angles CEB , EBC is balf a right angle ; therefore AEB is a right angle : And because EBC is half a right angle , DBG is also ( 10. 1. ) half a right angle , for they are vertically opposite ; but BDG ...
For the same reason , each of the angles CEB , EBC is balf a right angle ; therefore AEB is a right angle : And because EBC is half a right angle , DBG is also ( 10. 1. ) half a right angle , for they are vertically opposite ; but BDG ...
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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 |