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 66
A. TH HE radius of a circle is the straight line drawn from the centre to the circumference . 1 . 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 ...
A. TH HE radius of a circle is the straight line drawn from the centre to the circumference . 1 . 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 ...
Σελίδα 102
Otherwise . a “ Divide the radius of the given circle , so that the rectangle coni tained by the whole and one of the parts may be equal to the square ss of the other ( 11. 2. ) Apply in the circle , on each side of a given “ point ...
Otherwise . a “ Divide the radius of the given circle , so that the rectangle coni tained by the whole and one of the parts may be equal to the square ss of the other ( 11. 2. ) Apply in the circle , on each side of a given “ point ...
Σελίδα 106
From this it is manifest , that the side of the hexagon is equal to the straight line from the centre , that is , to the radius of the circle . And if through the points A , B , C , D , E , F , there be drawn straight lines toucbing the ...
From this it is manifest , that the side of the hexagon is equal to the straight line from the centre , that is , to the radius of the circle . And if through the points A , B , C , D , E , F , there be drawn straight lines toucbing the ...
Σελίδα 155
If two points be taken in the diameter of a circle , such that the rectangle contained by the segments intercepted between them and the centre of the circle be equal to the square of the radius : and if from these points two straight ...
If two points be taken in the diameter of a circle , such that the rectangle contained by the segments intercepted between them and the centre of the circle be equal to the square of the radius : and if from these points two straight ...
Σελίδα 158
T F А. А. C G G DB BD 2 - E From A as a centre with the radius AC , the greater of the two sides , describe the circle CFG : produce AB to meet the circumference in E and F , and CB to meet it in G. Then because AF = AC , BF = AB + ...
T F А. А. C G G DB BD 2 - E From A as a centre with the radius AC , the greater of the two sides , describe the circle CFG : produce AB to meet the circumference in E and F , and CB to meet it in G. Then because AF = AC , BF = AB + ...
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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 |