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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Αποτελέσματα 11 - 15 από τα 79.
Σελίδα 60
And because the straight line EF meets the parallels EC , FD , the angles CEFEFD are equal ( 29. ... if produced far enough : Therefore EB , FD will meet , if produced towards , B , D ; let them meet in G , and join AG : Then , because ...
And because the straight line EF meets the parallels EC , FD , the angles CEFEFD are equal ( 29. ... if produced far enough : Therefore EB , FD will meet , if produced towards , B , D ; let them meet in G , and join AG : Then , because ...
Σελίδα 66
A straight line is said to touch a circle , when it meets the circle , and being produced does not cut it . II . Circles are said to touch one another , which meet , but do not cut one another . III . Straight lines are said to be ...
A straight line is said to touch a circle , when it meets the circle , and being produced does not cut it . II . Circles are said to touch one another , which meet , but do not cut one another . III . Straight lines are said to be ...
Σελίδα 68
Take any point in AB as E ; find D the centre of the circle ABC ; join AD , DB and DE , and let DE meet the circumference in F : Then , because DA is equal to DB , the anD gle DAB is equal ( 5 ...
Take any point in AB as E ; find D the centre of the circle ABC ; join AD , DB and DE , and let DE meet the circumference in F : Then , because DA is equal to DB , the anD gle DAB is equal ( 5 ...
Σελίδα 77
... AB : and let AE be drawn from A perpendicular to AB , AE shall fall witbout the circle . lo AE take any point F , join DF , and let DF meet the circle in C. Because DAF is a right angle , it is greater than the angle AFD ( 32. 1. ) ...
... AB : and let AE be drawn from A perpendicular to AB , AE shall fall witbout the circle . lo AE take any point F , join DF , and let DF meet the circle in C. Because DAF is a right angle , it is greater than the angle AFD ( 32. 1. ) ...
Σελίδα 78
B D COR From this it is manifest , that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it , touches the circle ; and that it touches it only in one point ; because , if it did meet the ...
B D COR From this it is manifest , that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it , touches the circle ; and that it touches it only in one point ; because , if it did meet the ...
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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 |