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 σελίδες |
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Σελίδα 289
... definition , that of a point , which Euclid has said to be , ' That which has no parts , or which has no magnitude . Now , it has been objected to this definition , that it contains only a negative , and that it is not convertible , as ...
... definition , that of a point , which Euclid has said to be , ' That which has no parts , or which has no magnitude . Now , it has been objected to this definition , that it contains only a negative , and that it is not convertible , as ...
Σελίδα 292
... definition , from which the properties of the thing defined may be logically de- duced , I have substituted another definition of a straight line in the room of Euclid's . This definition of a straight line was suggested by a remark of ...
... definition , from which the properties of the thing defined may be logically de- duced , I have substituted another definition of a straight line in the room of Euclid's . This definition of a straight line was suggested by a remark of ...
Σελίδα 293
... definition , though it amount in fact to the same thing with that already given , is rather more abstract , and not so easily made the foundation of reasoning . I therefore thought it best to lay it aside , and to adopt the definition ...
... definition , though it amount in fact to the same thing with that already given , is rather more abstract , and not so easily made the foundation of reasoning . I therefore thought it best to lay it aside , and to adopt the definition ...
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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 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