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 60
... half and the part produced . Let the straight line AB be bisected in C , and produced to the point D ; the squares ... half a right angle ( 32. 1 ) ; For the same reason , cach of the angles CLB , EBC is half a right angle ; therefore ...
... half and the part produced . Let the straight line AB be bisected in C , and produced to the point D ; the squares ... half a right angle ( 32. 1 ) ; For the same reason , cach of the angles CLB , EBC is half a right angle ; therefore ...
Página 162
... half , and from the remainder its half ; and so on ; There will at length remain a magnitude less than the least of the proposed mag- nitudes . Let AB and C be two unequal magnitudes , of which AB is the greater . If from AB there be ...
... half , and from the remainder its half ; and so on ; There will at length remain a magnitude less than the least of the proposed mag- nitudes . Let AB and C be two unequal magnitudes , of which AB is the greater . If from AB there be ...
Página 269
... half the sum or half the difference of the supplements of two arches , is the same with the sine of half the sum or half the difference of the arches them- selves : and that the same is true of the cosines , and of the tangents of half ...
... half the sum or half the difference of the supplements of two arches , is the same with the sine of half the sum or half the difference of the arches them- selves : and that the same is true of the cosines , and of the tangents of half ...
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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