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, Edlemnts of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 sider |
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Side 132
... proved , that similar figures of four sides , or of any number of sides , are one to another in the duplicate ratio of their homologous sides , and the same has already been proved of triangles : therefore , universally , similar ...
... proved , that similar figures of four sides , or of any number of sides , are one to another in the duplicate ratio of their homologous sides , and the same has already been proved of triangles : therefore , universally , similar ...
Side 201
... proved to be equal ; therefore , the ratio that is compounded of them , viz . the ratio of the solid AG to the solid KQ , is triplicate of any of them ( def . 12. 5. ) : it is therefore triplicate of the ratio of AB to KL . COR . 1. If ...
... proved to be equal ; therefore , the ratio that is compounded of them , viz . the ratio of the solid AG to the solid KQ , is triplicate of any of them ( def . 12. 5. ) : it is therefore triplicate of the ratio of AB to KL . COR . 1. If ...
Side 300
... prove a certain property to belong to the circle , because it belongs to the rectilineal figures inscribed in it , or described about it according to a certain law , in the case when those figures ap- proach to the circles so nearly as ...
... prove a certain property to belong to the circle , because it belongs to the rectilineal figures inscribed in it , or described about it according to a certain law , in the case when those figures ap- proach to the circles so nearly as ...
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Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal arc AC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC wherefore