Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα
... application , useless restrictions have been abandoned , and the style of disputation has given place to that of enquiry . Hence that superiority of results which has lately come so prominently before the public . Some change , it is ...
... application , useless restrictions have been abandoned , and the style of disputation has given place to that of enquiry . Hence that superiority of results which has lately come so prominently before the public . Some change , it is ...
Σελίδα
... application of Arithmetic to Geometry . The arbitrary restrictions of Euclid involve him in va- rious inconsistencies , and exclude his constructions from use . When , for instance , in order to mark off a length upon a straight line ...
... application of Arithmetic to Geometry . The arbitrary restrictions of Euclid involve him in va- rious inconsistencies , and exclude his constructions from use . When , for instance , in order to mark off a length upon a straight line ...
Σελίδα
... , and are not mere enigmas but propositions of some importance either in principle or application . The time spent upon them will certainly not be wasted . MODERN METHODS IN ELEMENTARY GEOMETRY . BOOK I. THE STRAIGHT PREFACE . vii.
... , and are not mere enigmas but propositions of some importance either in principle or application . The time spent upon them will certainly not be wasted . MODERN METHODS IN ELEMENTARY GEOMETRY . BOOK I. THE STRAIGHT PREFACE . vii.
Σελίδα 14
... Apply the triangle ABC to the triangle A'B'C ' so that the point B may be on B ' , and BC on B'C ' ; C will coincide with C ' since BC = B'C ' . Join AA ' . Then since the angle B'A ' = B'A , B'AA ' B'A'A ; = I. 11 . and since C'A ' C'A ...
... Apply the triangle ABC to the triangle A'B'C ' so that the point B may be on B ' , and BC on B'C ' ; C will coincide with C ' since BC = B'C ' . Join AA ' . Then since the angle B'A ' = B'A , B'AA ' B'A'A ; = I. 11 . and since C'A ' C'A ...
Σελίδα 15
... Apply the triangle ABC to the triangle A'B'C ' , so that A may be on A ' and AB fall on A'B ' . Then because AB = A'B ' , B will coincide with B ' . And , because the angle B = the angle B ' , BC will take the direction of B'C ' . And ...
... Apply the triangle ABC to the triangle A'B'C ' , so that A may be on A ' and AB fall on A'B ' . Then because AB = A'B ' , B will coincide with B ' . And , because the angle B = the angle B ' , BC will take the direction of B'C ' . And ...
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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