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 vi
... thing new in Elementary Geometry would have been soon attempted . But his design was different : it was his object to restore the writings of EUCLID to their original perfection , and to give them to Modern Europe as nearly as possible ...
... thing new in Elementary Geometry would have been soon attempted . But his design was different : it was his object to restore the writings of EUCLID to their original perfection , and to give them to Modern Europe as nearly as possible ...
Página viii
... thing from the rigour of geometrical demonstration . By this means , the steps of the reasoning which were before far separated , are brought near to one another , and the force of the whole is so clearly and directly perceived , that I ...
... thing from the rigour of geometrical demonstration . By this means , the steps of the reasoning which were before far separated , are brought near to one another , and the force of the whole is so clearly and directly perceived , that I ...
Página xi
... thing to be supposed , unless the thing itself be actually exhibited . But it is not always necessary to make use of this defence ; for the existence of many things is obviously pos- sible , and very far from implying a contradiction ...
... thing to be supposed , unless the thing itself be actually exhibited . But it is not always necessary to make use of this defence ; for the existence of many things is obviously pos- sible , and very far from implying a contradiction ...
Página xii
... things has thrown in its way . It is a rule , too , which cannot always be followed , and from which even EUCLID himself ... thing not es- sential . That it may be the better understood , and because the de- monstrations which require ...
... things has thrown in its way . It is a rule , too , which cannot always be followed , and from which even EUCLID himself ... thing not es- sential . That it may be the better understood , and because the de- monstrations which require ...
Página xiv
... thing that admits of being proved . Indeed , those who make the objection just stated , do not seem to have reflected sufficiently on the end of Mathematical Demonstration , which is not only to prove the truth of a certain proposition ...
... thing that admits of being proved . Indeed , those who make the objection just stated , do not seem to have reflected sufficiently on the end of Mathematical Demonstration , which is not only to prove the truth of a certain proposition ...
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Términos y frases comunes
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