Euclidian Geometry |
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Page vii
... polygons . In the Fourth Book the areas and perimeters of regular polygons inscribed in and circumscribed about a circle have been discussed , and the groundwork laid for a comparison not only of the areas but also of the circumferences ...
... polygons . In the Fourth Book the areas and perimeters of regular polygons inscribed in and circumscribed about a circle have been discussed , and the groundwork laid for a comparison not only of the areas but also of the circumferences ...
Page 44
... polygons , by more than four straight lines . A parallelogram is a four - sided figure , of which the opposite sides are parallel . The straight line joining the opposite angles of a quad- rilateral figure is called a diagonal ...
... polygons , by more than four straight lines . A parallelogram is a four - sided figure , of which the opposite sides are parallel . The straight line joining the opposite angles of a quad- rilateral figure is called a diagonal ...
Page 47
... its adjacent sides respectively = a , b will be spoken of as the " rectangle contained by ( a , b ) , " which will be written thus , " rect . ( a , b ) . " PROPOSITION XXX . If the sides of a polygon be QUADRILATERALS AND MULTILATERALS .
... its adjacent sides respectively = a , b will be spoken of as the " rectangle contained by ( a , b ) , " which will be written thus , " rect . ( a , b ) . " PROPOSITION XXX . If the sides of a polygon be QUADRILATERALS AND MULTILATERALS .
Page 48
... polygon NOPQRS be produced in order . Then shall the exterior angles be together = 4 right 2 s . Through any point K draw Ku , Kv , Kw , & c . || to OU , PV , QW , & c . Then the exterior s UOV , VPW , WQX , & c . of the polygon are ...
... polygon NOPQRS be produced in order . Then shall the exterior angles be together = 4 right 2 s . Through any point K draw Ku , Kv , Kw , & c . || to OU , PV , QW , & c . Then the exterior s UOV , VPW , WQX , & c . of the polygon are ...
Page 49
... polygon together with the ex- terior 4 UOV makes up two right 4 s . ( Ι . 9 ) Hence all the interior 2 s of the polygon together with the adjacent exterior 2 s are equal to twice as many right 2 s as the figure has sides ; but all ...
... polygon together with the ex- terior 4 UOV makes up two right 4 s . ( Ι . 9 ) Hence all the interior 2 s of the polygon together with the adjacent exterior 2 s are equal to twice as many right 2 s as the figure has sides ; but all ...
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Common terms and phrases
Algebra ATHENĈUM base Cambridge centre chord Christ's College circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater Hence inscribed intersecting isosceles triangle LAPB Latin Let ABC line bisecting locus Mathematical meet Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively rhombus right angles Schools Second Edition segment Similarly squares on AC straight line drawn straight line joining student tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex