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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Αποτελέσματα 1 - 5 από τα 47.
Σελίδα 48
... passes , and let BK , KD be the other parallelograms , which make up the whole figure ABCD and are there- fore called the complements : The complement BK is equal to the com- plement KD . A H D E K F B Ꮐ Because ABCD is a parallelogram ...
... passes , and let BK , KD be the other parallelograms , which make up the whole figure ABCD and are there- fore called the complements : The complement BK is equal to the com- plement KD . A H D E K F B Ꮐ Because ABCD is a parallelogram ...
Σελίδα 68
... pass through the centre , it will cut that line at right angles ; and if it cut it at right angles , it will bisect it . Let ABC be a circle , and let CD , a straight line drawn through the centre bisect any straight line AB , which ...
... pass through the centre , it will cut that line at right angles ; and if it cut it at right angles , it will bisect it . Let ABC be a circle , and let CD , a straight line drawn through the centre bisect any straight line AB , which ...
Σελίδα 69
... pass through the centre , they do not bisect each other . Let ABCD be a circle , and AC , BD two straight lines in it , which cut one another in the point E , and do not both pass through the cen- tre : AC , BD do not bisect one another ...
... pass through the centre , they do not bisect each other . Let ABCD be a circle , and AC , BD two straight lines in it , which cut one another in the point E , and do not both pass through the cen- tre : AC , BD do not bisect one another ...
Σελίδα 71
... passes through the centre , is equal to one more re- mote , which is impossible . Therefore , if any point be taken ... passes through the centre ; of those which fall upon the concave circumference , the greatest is that which passes ...
... passes through the centre , is equal to one more re- mote , which is impossible . Therefore , if any point be taken ... passes through the centre ; of those which fall upon the concave circumference , the greatest is that which passes ...
Σελίδα 72
... passes through the centre . Of those which fall upon the concave part of the circumference AEFC , the greatest is AD which passes through the centre ; and the line nearer to AD is always greater than the more remote , viz . DE than DF ...
... passes through the centre . Of those which fall upon the concave part of the circumference AEFC , the greatest is AD which passes through the centre ; and the line nearer to AD is always greater than the more remote , viz . DE than DF ...
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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 |