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 62
Side 109
... third magnitude has to the fourth : and , on the contrary , the third is said to have to the fourth a less ratio than the first has to the second . VIII . • When there is any number of magnitudes greater than two , of which the first ...
... third magnitude has to the fourth : and , on the contrary , the third is said to have to the fourth a less ratio than the first has to the second . VIII . • When there is any number of magnitudes greater than two , of which the first ...
Side 110
... third which the second has to the fourth ; or that the first is to the third as the second to the fourth : See Prop . 16. of this Book . XV . Invertendo , by inversion : When there are four proportionals , and it is inferred , that the ...
... third which the second has to the fourth ; or that the first is to the third as the second to the fourth : See Prop . 16. of this Book . XV . Invertendo , by inversion : When there are four proportionals , and it is inferred , that the ...
Side 215
... third part of the cylinder . Let the cone ABCD , and the cylinder BFKG have the same base , viz . the circle BCD , and the same altitude , viz . the perpendicular from the point A upon the plane BCD , the cone ABCD is the third part of ...
... third part of the cylinder . Let the cone ABCD , and the cylinder BFKG have the same base , viz . the circle BCD , and the same altitude , viz . the perpendicular from the point A upon the plane BCD , the cone ABCD is the third part of ...
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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