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 165
... circle ; and because KMG is a right angle , KM touches the circle . And in the same man- ner , by joining the centre and the other angular points of the inscribed polygon , an equilateral polygon may be described about the circle , the ...
... circle ; and because KMG is a right angle , KM touches the circle . And in the same man- ner , by joining the centre and the other angular points of the inscribed polygon , an equilateral polygon may be described about the circle , the ...
Página 247
... circle are equal . III . A spherical angle is an angle on the superficies of a sphere , contain- ed by the arches of two great circles which intersect one another and is the same with the inclination of the planes of these great cir ...
... circle are equal . III . A spherical angle is an angle on the superficies of a sphere , contain- ed by the arches of two great circles which intersect one another and is the same with the inclination of the planes of these great cir ...
Página 248
... circle intercepted between the other two , is the measure of the spherical angle which the same two circles make with one another . Let the great circles BA , CA on the superficies of a sphere , of which the centre is D , intersect one ...
... circle intercepted between the other two , is the measure of the spherical angle which the same two circles make with one another . Let the great circles BA , CA on the superficies of a sphere , of which the centre is D , intersect one ...
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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