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 73
... circle . Let the point D be taken within the circle ABC , from which there fall on the circumference more than two equal straight lines , viz . DA , DB , DC , the point D is the centre of the circle . F DE For , if not , let E be the ...
... circle . Let the point D be taken within the circle ABC , from which there fall on the circumference more than two equal straight lines , viz . DA , DB , DC , the point D is the centre of the circle . F DE For , if not , let E be the ...
Página 95
... ABC in the alternate segment of the circle : But HAC is equal to the angle - DEF ; therefore also the an- gle ABC is equal to DEF ; F B G II C for the same reason , the angle ACB is equal to the angle DFE ; there fore the remaining ...
... ABC in the alternate segment of the circle : But HAC is equal to the angle - DEF ; therefore also the an- gle ABC is equal to DEF ; F B G II C for the same reason , the angle ACB is equal to the angle DFE ; there fore the remaining ...
Página 247
... circle of a sphere is a point in the superficies of the sphere , from which all straight lines drawn to the ... ABC be a great circle , and D its pole ; if DC , an arch of a great circle , pass through D , and meet ABC in C , the arch DC ...
... circle of a sphere is a point in the superficies of the sphere , from which all straight lines drawn to the ... ABC be a great circle , and D its pole ; if DC , an arch of a great circle , pass through D , and meet ABC in C , the arch DC ...
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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