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 TrigonometryCollins & Hannay, 1860 - 333 sider |
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Resultat 1-3 av 28
Side x
... 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 obvious- ly possible , and very far from implying a contradic- tion ...
... 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 obvious- ly possible , and very far from implying a contradic- tion ...
Side 21
... Things which are doubles of the same thing , are equal to one another . VII . Things which are halves of the same thing , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the ...
... Things which are doubles of the same thing , are equal to one another . VII . Things which are halves of the same thing , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the ...
Side 289
... thing unextended or without magnitude , is not a point . To this it is impossible to reply , and therefore it be- comes necessary to change the definition altogether , which is accord- ingly done here , a point being defined to be ...
... thing unextended or without magnitude , is not a point . To this it is impossible to reply , and therefore it be- comes necessary to change the definition altogether , which is accord- ingly done here , a point being defined to be ...
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Vanlige uttrykk og setninger
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 and similar 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 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 side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore