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 páginas |
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Página 137
... diameter AHC in a different straight line from AF , the diameter of the pa- rallelogram EG , and let GF meet AHC in H ; and through H draw HK parallel to AD or BC ; therefore the parallelograms ABCD , AKHG being about the same diameter ...
... diameter AHC in a different straight line from AF , the diameter of the pa- rallelogram EG , and let GF meet AHC in H ; and through H draw HK parallel to AD or BC ; therefore the parallelograms ABCD , AKHG being about the same diameter ...
Página 146
... diameter , the rectangle contained by the straight line drawn in the circle , and the segment of it , intercepted between the extremity of the diameter and the perpendicular , is equal to the rectangle contained by the diameter and the ...
... diameter , the rectangle contained by the straight line drawn in the circle , and the segment of it , intercepted between the extremity of the diameter and the perpendicular , is equal to the rectangle contained by the diameter and the ...
Página 172
... diameter than 3+ has to 1 ; that is , the excess of the circumference above three times the diameter is greater than ten of those parts of which the diameter contains 71 ; and it has already been shewn to be less than ten of those of ...
... diameter than 3+ has to 1 ; that is , the excess of the circumference above three times the diameter is greater than ten of those parts of which the diameter contains 71 ; and it has already been shewn to be less than ten of those of ...
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Términos y frases comunes
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