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 TrigonometryW.E. Dean, 1839 - 318 páginas |
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Página iii
... plane and sherical trigonometry John Playfair. 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 ...
... plane and sherical trigonometry John Playfair. 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 ...
Página vi
... Plane and Spherical Trigonometry John Playfair. modern mathematicians to deliver them from blemishes , which cer- tainly did not enter into their original composition . Of these mathe- maticians , Dr. SIMSON , as he may be accounted the ...
... Plane and Spherical Trigonometry John Playfair. modern mathematicians to deliver them from blemishes , which cer- tainly did not enter into their original composition . Of these mathe- maticians , Dr. SIMSON , as he may be accounted the ...
Página vii
... Plane and Spherical Trigonometry John Playfair. But , after all this was accomplished , something still remained to be done , since , notwithstanding the acknowledged excellence of EUCLID'S Elements , it could not be doubted , that some ...
... Plane and Spherical Trigonometry John Playfair. But , after all this was accomplished , something still remained to be done , since , notwithstanding the acknowledged excellence of EUCLID'S Elements , it could not be doubted , that some ...
Página x
... Plane and Spherical Trigonometry John Playfair. ted into them . When I speak of the rectification of the circle , or ... Planes , I have departed as little as possible from EUCLID'S method of considering the same subject in his eleventh ...
... Plane and Spherical Trigonometry John Playfair. ted into them . When I speak of the rectification of the circle , or ... Planes , I have departed as little as possible from EUCLID'S method of considering the same subject in his eleventh ...
Página xvi
... Plane and Spherical Trigonometry John Playfair. distinguished into parts . No progress in ascending higher can be expected , till a regular habit of demonstration is thus acquired ; it is much to be feared , that he who has declined the ...
... Plane and Spherical Trigonometry John Playfair. distinguished into parts . No progress in ascending higher can be expected , till a regular habit of demonstration is thus acquired ; it is much to be feared , that he who has declined the ...
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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 opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism PROB produced proportional 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 parallelopipeds spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore