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 páginas |
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Página 108
... fourth , equal to it , or less ; then the first of the magnitudes is said to have to the second the same ratio that the third has to the fourth . VI . Magnitudes are said to be proportionals , when the first has the same ratio to the ...
... fourth , equal to it , or less ; then the first of the magnitudes is said to have to the second the same ratio that the third has to the fourth . VI . Magnitudes are said to be proportionals , when the first has the same ratio to the ...
Página 109
... 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 has to the second the same ...
... 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 has to the second the same ...
Página 110
... 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 second is to the first , as the fourth ...
... 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 second is to the first , as the fourth ...
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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 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