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, Edlemnts of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 sider |
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Resultat 1-3 av 57
Side 98
... whole EDCBA : and the angle FED stands upon the arc FABCD , and the angle AFE upon EDCBA ; therefore the angle AFE ... whole circumference ABCDF contains fifteen , the arc ABC , being the third part of the whole , contains five ; and the ...
... whole EDCBA : and the angle FED stands upon the arc FABCD , and the angle AFE upon EDCBA ; therefore the angle AFE ... whole circumference ABCDF contains fifteen , the arc ABC , being the third part of the whole , contains five ; and the ...
Side 111
... whole magnitude be to a whole , as a magnitude taken from the first is to a magnitude taken from the other ; the remainder will be to the remainder as the whole to the whole . If A : B : C : D , and if C be less than A , A - C : B - D ...
... whole magnitude be to a whole , as a magnitude taken from the first is to a magnitude taken from the other ; the remainder will be to the remainder as the whole to the whole . If A : B : C : D , and if C be less than A , A - C : B - D ...
Side 212
... whole circumference ACF ; therefore the angle ABC is to four right angles as the arc AC to the whole circumference ACF . COR . Equal angles at the centres of different circles stand on arcs which have the same ratio to their ...
... whole circumference ACF ; therefore the angle ABC is to four right angles as the arc AC to the whole circumference ACF . COR . Equal angles at the centres of different circles stand on arcs which have the same ratio to their ...
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Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal arc AC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC wherefore