Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα
... Hence that superiority of results which has lately come so prominently before the public . Some change , it is evident , in our English ways of teach- ing can now no longer be postponed , and this little book , mainly derived from ...
... Hence that superiority of results which has lately come so prominently before the public . Some change , it is evident , in our English ways of teach- ing can now no longer be postponed , and this little book , mainly derived from ...
Σελίδα 9
... Hence HC is situated with regard to GA precisely as GB with regard to HD . Therefore if GB , HD being produced meet towards B and D , HC , GA being produced must meet towards C and A , In which case two straight lines would enclose a ...
... Hence HC is situated with regard to GA precisely as GB with regard to HD . Therefore if GB , HD being produced meet towards B and D , HC , GA being produced must meet towards C and A , In which case two straight lines would enclose a ...
Σελίδα 12
... Hence in an isosceles tri angle the perpendicular bisects the base and the angle at the vertex . COR . 2. All the angles of an equilateral triangle are equal . THEOREM XII . If in any triangle ABC the side ELEMENTARY GEOMETRY .
... Hence in an isosceles tri angle the perpendicular bisects the base and the angle at the vertex . COR . 2. All the angles of an equilateral triangle are equal . THEOREM XII . If in any triangle ABC the side ELEMENTARY GEOMETRY .
Σελίδα 13
... Hence if ADC be turned about AD , C will fall between D and B , as at C ' . Then the exterior angle AC'D is greater than ABD ; that is , C > B. Conversely , if the angle C be greater than the angle B , then shall AB be greater than AC ...
... Hence if ADC be turned about AD , C will fall between D and B , as at C ' . Then the exterior angle AC'D is greater than ABD ; that is , C > B. Conversely , if the angle C be greater than the angle B , then shall AB be greater than AC ...
Σελίδα 17
... perpendicular to B'C ' produced , if necessary , and take DE DC ' . Then because AC = A'C ' , these lines must be equally remote from the perpendicular A'D . Hence AC must meet B'C ' either in C ' 2 THE STRAIGHT LINE . 17.
... perpendicular to B'C ' produced , if necessary , and take DE DC ' . Then because AC = A'C ' , these lines must be equally remote from the perpendicular A'D . Hence AC must meet B'C ' either in C ' 2 THE STRAIGHT LINE . 17.
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Algebra alternate angle altitude ARITHMETIC base BC² BEGINNERS bisect BROOKE FOSS WESTCOTT Cambridge centre chord Christ's College circle touching circumference Clifton College cloth coincide congruent CONIC SECTIONS construct contains convex angle Crown 8vo describe a circle diagonals diameter dicular distance divide Edward Thring ELEMENTARY TREATISE equal angles equally distant equiangular equilateral triangle Examination Papers Exercises exterior angle Fcap Fellow of St GEOMETRY given circle given line given point given square given straight line greater Greek Text Head Master Hence inscribe intersect John's College Join JOSEPH WOLSTENHOLME Jugurtha late Fellow Latin Let ABCD line drawn locus Mathematical Lecturer measure meet middle point MIXED MATHEMATICS numerous parallel to BC parallelogram perpen perpendicular polygon problems quadrilateral figure radius rectangle right angles Second Edition Shew similar triangles student tangent THEOREM VII Third Edition trapezium triangle ABC vertex
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