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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
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Σελίδα 66
... radius of a circle is the straight line drawn from the centre to the circumference . I. 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 ...
... radius of a circle is the straight line drawn from the centre to the circumference . I. 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 ...
Σελίδα 102
... radius of the given circle , so that the rectangle con- " tained by the whole and one of the parts may be equal to the square " of the other ( 11. 2. ) Apply in the circle , on each side of a given point , a line equal to the greater of ...
... radius of the given circle , so that the rectangle con- " tained by the whole and one of the parts may be equal to the square " of the other ( 11. 2. ) Apply in the circle , on each side of a given point , a line equal to the greater of ...
Σελίδα 106
... radius of the circle . And if through the points A , B , C , D , E , F , there be drawn straight lines touching the circle , an equilateral and equiangular hexagon shall be described about it , which may be demonstrated from what has ...
... radius of the circle . And if through the points A , B , C , D , E , F , there be drawn straight lines touching the circle , an equilateral and equiangular hexagon shall be described about it , which may be demonstrated from what has ...
Σελίδα 155
... radius : and if from these points two straight lines be drawn to any point whatsoever in the circumfer- ence of the circle , the ratio of these lines will be the same with the ratio of the segments intercepted between the two first ...
... radius : and if from these points two straight lines be drawn to any point whatsoever in the circumfer- ence of the circle , the ratio of these lines will be the same with the ratio of the segments intercepted between the two first ...
Σελίδα 158
... radius AC , the greater of the two sides , describe the circle CFG : produce AB to meet the circumfer- ence in E and F , and CB to meet it in G. Then because AF = AC , BF AB + AC , the sum of the sides ; and since AE = AC , BE = AC ...
... radius AC , the greater of the two sides , describe the circle CFG : produce AB to meet the circumfer- ence in E and F , and CB to meet it in G. Then because AF = AC , BF AB + AC , the sum of the sides ; and since AE = AC , BE = AC ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore
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 |