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 xiii
... sines and cosines of arches , which are the ounda- tion of those applications of Trigonometry lately in- troduced , with so much advantage , into the higher Geometry . In the Spherical Trigonometry , the rules for pre- renting the ...
... sines and cosines of arches , which are the ounda- tion of those applications of Trigonometry lately in- troduced , with so much advantage , into the higher Geometry . In the Spherical Trigonometry , the rules for pre- renting the ...
Σελίδα 223
... sine of any arch till it cut the circum- ference . ས . I H L K A B D The segment DA of the diameter passing through A , one extremity of the arch AC , between the sine CD and the point A , is called the Versed sine of the arch AC , or ...
... sine of any arch till it cut the circum- ference . ས . I H L K A B D The segment DA of the diameter passing through A , one extremity of the arch AC , between the sine CD and the point A , is called the Versed sine of the arch AC , or ...
Σελίδα 224
... sine , tangent , and secant of an arch , which is the measure of any given angle ABC , is to the sine , versed sine , tangent and secant , of any other arch which is the mea- sure of the same angle , as the radius of the first arch is ...
... sine , tangent , and secant of an arch , which is the measure of any given angle ABC , is to the sine , versed sine , tangent and secant , of any other arch which is the mea- sure of the same angle , as the radius of the first arch is ...
Σελίδα 225
... sine , tangent , or secant of the complement of any angle is called the Cosine , Cotangent , or Cosecant of that angle . Thus , let CL or DB , which is equal to CL , be the sine of the angle CBH ; HK the tangent , and BK the secant of ...
... sine , tangent , or secant of the complement of any angle is called the Cosine , Cotangent , or Cosecant of that angle . Thus , let CL or DB , which is equal to CL , be the sine of the angle CBH ; HK the tangent , and BK the secant of ...
Σελίδα 226
... sines of the opposite angles ; and if one of the sides be made the radius , the other side becomes the tan- gent of the opposite angle , and the hypotenuse the secant of it . PROP . II . The sides of a plane triangle ure to one another ...
... sines of the opposite angles ; and if one of the sides be made the radius , the other side becomes the tan- gent of the opposite angle , and the hypotenuse the secant of it . PROP . II . The sides of a plane triangle ure to one another ...
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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 |