Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα
... REYNOLDS , M. A. MATHEMATICAL MASTER IN CLIFTON COLLEGE , MODERN SIDE . London and Cambridge : MACMILLAN AND CO . 1868 . [ All Rights reserved . ] PREFACE . GEOMETRY has received extensive developments in modern times MODERN METHODS.
... REYNOLDS , M. A. MATHEMATICAL MASTER IN CLIFTON COLLEGE , MODERN SIDE . London and Cambridge : MACMILLAN AND CO . 1868 . [ All Rights reserved . ] PREFACE . GEOMETRY has received extensive developments in modern times MODERN METHODS.
Σελίδα 1
... sides of the angle , and the point A the vertex . An angle is usually distin- guished by three letters , as BAC , CAD , DAB , of which the one at the vertex must be placed between the other two . When an angle stands alone one letter ...
... sides of the angle , and the point A the vertex . An angle is usually distin- guished by three letters , as BAC , CAD , DAB , of which the one at the vertex must be placed between the other two . When an angle stands alone one letter ...
Σελίδα 2
... sides OB about the end 0 of the other OA , which remains fixed . When OB has revolved so far as to be in the same line as OA but not in the same direction it has passed over two right angles . When OB again coincides with OA , it has ...
... sides OB about the end 0 of the other OA , which remains fixed . When OB has revolved so far as to be in the same line as OA but not in the same direction it has passed over two right angles . When OB again coincides with OA , it has ...
Σελίδα 9
... side of EF . THEOREM VII . If the exterior angle EGB be equal to the interior angle GHD ; then shall AB be paral- lel to CD . then For if EGB = GHD , FHCHGA . E A B H C- D F Hence HC is situated with regard to GA precisely as GB with ...
... side of EF . THEOREM VII . If the exterior angle EGB be equal to the interior angle GHD ; then shall AB be paral- lel to CD . then For if EGB = GHD , FHCHGA . E A B H C- D F Hence HC is situated with regard to GA precisely as GB with ...
Σελίδα 12
... side AB be equal to the side AC , then shall the angle C be equal to the angle B. Let AD be the perpendicular drawn from A to BC . Then since AB = AC , these lines are equally remote from the perpen- dicular . A A B D Therefore and BD ...
... side AB be equal to the side AC , then shall the angle C be equal to the angle B. Let AD be the perpendicular drawn from A to BC . Then since AB = AC , these lines are equally remote from the perpen- dicular . A A B D Therefore and BD ...
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A'BC Algebra alternate angle altitude angle equal arc CD ARITHMETIC BC² bisect BROOKE FOSS WESTCOTT CA² Cambridge centre chord circle touching circumference cloth coincide congruent CONIC SECTIONS contain convex angle convex polygon Crown 8vo diagonals diameter dicular divide Edward Thring ELEMENTARY TREATISE equal angles equally distant equally remote equiangular equiangular and similar equilateral triangle Examples exterior angle Fcap Find the locus GEOMETRY given angle given circle given line given point given straight line greater Hence intersect isosceles John's College late Fellow Let ABCD line drawn MATHEMATICAL measure meet middle point opposite sides parallel to CD parallelogram perpen perpendicular polygon produced quadrilateral figure radius rectangle right angles right-angled triangle Schools Second Edition segments Shew shortest line similar triangles student tangent THEOREM THEOREM VII Third Edition trapezium triangle ABC vertex