Elements of Geometry and Trigonometry |
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Page 112
... regular hexagon in a given circle , the radius must be applied six times to the circumference ; which will bring us ... regular decagon ; then a pentagon , and also a regular polygon of fifteen sides . Divide the radius AO in extreme and ...
... regular hexagon in a given circle , the radius must be applied six times to the circumference ; which will bring us ... regular decagon ; then a pentagon , and also a regular polygon of fifteen sides . Divide the radius AO in extreme and ...
Page 113
... regular decagon , and will re- quire to be applied ten times to the circumference . For , drawing MB , we have by ... regular decagon , the pentagon ACEGI will be formed , also regular . 3d . AB being still the side of the decagon , let ...
... regular decagon , and will re- quire to be applied ten times to the circumference . For , drawing MB , we have by ... regular decagon , the pentagon ACEGI will be formed , also regular . 3d . AB being still the side of the decagon , let ...
Page 114
Adrien Marie Legendre Charles Davies. PROPOSITION VI . PROBLEM . A regular inscribed polygon being given , to circumscribe a sim- ilar polygon about the same circle . Let CBAFED be a regular polygon . At T , the middle point of the arc ...
Adrien Marie Legendre Charles Davies. PROPOSITION VI . PROBLEM . A regular inscribed polygon being given , to circumscribe a sim- ilar polygon about the same circle . Let CBAFED be a regular polygon . At T , the middle point of the arc ...
Page 115
... regular polygon having double the number of sides . Let the circle whose centre is P , be circumscribed by the square CDEG : it is required to find a regular circumscribed octagon . G Bisect the arcs AH , HB , BF , FA , and through the ...
... regular polygon having double the number of sides . Let the circle whose centre is P , be circumscribed by the square CDEG : it is required to find a regular circumscribed octagon . G Bisect the arcs AH , HB , BF , FA , and through the ...
Page 116
... regular polygon ( Def . ) . The construction which has been made in the case of the square and the octagon , is equally applicable to other polygons . Cor . It is evident that the circumscribed square is greater than the circumscribed ...
... regular polygon ( Def . ) . The construction which has been made in the case of the square and the octagon , is equally applicable to other polygons . Cor . It is evident that the circumscribed square is greater than the circumscribed ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex