Euclidian GeometryMacmillan, 1874 - 349 sider |
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Side 149
... and circumscribed regular figures , the constructions in the case of squares having been given separately on account of their simplicity . PROBLEM IO . To inscribe a regular polygon having a SQUARES AND CIRCLES . 149.
... and circumscribed regular figures , the constructions in the case of squares having been given separately on account of their simplicity . PROBLEM IO . To inscribe a regular polygon having a SQUARES AND CIRCLES . 149.
Side 150
... polygon . For if the figure be turned about its centre C , so that P may coincide with the former position of Q , and . Q with that of R , R with that of S and so on , · . · the arcs PXQ , QYR , RZS , & c . are all equal ; • then PQ ...
... polygon . For if the figure be turned about its centre C , so that P may coincide with the former position of Q , and . Q with that of R , R with that of S and so on , · . · the arcs PXQ , QYR , RZS , & c . are all equal ; • then PQ ...
Side 151
... polygon will coincide with its former position ; .. AB = BC = CD = DE & c . ; also ABC = L BCD = L CDE , & c . , .. the polygon is equilateral and also equiangular , i.e. it is a regular polygon and it is circumscribed about the given ...
... polygon will coincide with its former position ; .. AB = BC = CD = DE & c . ; also ABC = L BCD = L CDE , & c . , .. the polygon is equilateral and also equiangular , i.e. it is a regular polygon and it is circumscribed about the given ...
Side 152
... polygon ; .. LAED is bisected . Similarly it may be proved that all the 4s of the polygon are bisected . Then . △ OAB = LOBA , .. OA = OB : ( 1.4 ) similarly OB OC , & c . ; = .. the circle passes through B , C , D , & c . , and is ...
... polygon ; .. LAED is bisected . Similarly it may be proved that all the 4s of the polygon are bisected . Then . △ OAB = LOBA , .. OA = OB : ( 1.4 ) similarly OB OC , & c . ; = .. the circle passes through B , C , D , & c . , and is ...
Side 153
... polygon . It is required to inscribe a circle within it . Bisect the 4s ABC , BCD by BO , CO intersecting in O. Then ... POLYGONS . PROBLEM 14 . To find the difference REGULAR POLYGONS AND CIRCLES . 153.
... polygon . It is required to inscribe a circle within it . Bisect the 4s ABC , BCD by BO , CO intersecting in O. Then ... POLYGONS . PROBLEM 14 . To find the difference REGULAR POLYGONS AND CIRCLES . 153.
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Algebra base Cambridge centre chord circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle Latin Let ABC line bisecting locus Mathematical meet opposite angles Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively revised rhombus right angles Schools Second Edition segment similar Similarly squares on AC straight line drawn straight line joining tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex