## 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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Side 108

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**magnitudes**between which it is placed are unequal , and that the**magnitude**to which the opening of the lines is ...**magnitudes**, of the same kind , to ore another , in respect of quantity , IV .**Magnitudes**are said to be of the same kind ...Side 109

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**magnitudes**, taken as in the fiftli definition , the multiple of the first is greater than that of the second , but ...**magnitudes**greater than two , of which the first has to the second the same ratio that the second has to the third ...Side 111

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**magnitudes**are taken two and two . XX . Ex æquali , from equality ; this term is used simply by itself , when the first**magnitude**is to the second of the first rank , as the first to the second of the other rank ; and as the second is ...### Andre utgaver - Vis alle

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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