Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 58
... ratio and proportion , and most questions as to the area of figures . It is therefore most important to acquire clear ideas as to the way in which the different geometrical magnitudes are measured . A straight line is measured by ...
... ratio and proportion , and most questions as to the area of figures . It is therefore most important to acquire clear ideas as to the way in which the different geometrical magnitudes are measured . A straight line is measured by ...
Σελίδα 88
... ratio of their homologous sides ) . A Α ' B C B Let ABC , A'B'C ' , be similar triangles , they shall be to one ... ratio is thus defined : When three magnitudes are proportionals , the first is said to have to the third the duplicate ...
... ratio of their homologous sides ) . A Α ' B C B Let ABC , A'B'C ' , be similar triangles , they shall be to one ... ratio is thus defined : When three magnitudes are proportionals , the first is said to have to the third the duplicate ...
Σελίδα 89
... ratio of their homologous sides ) . D D ! B For they can be divided into similar triangles . B THEOREM IX . Similar polygons are to one another in the duplicate ratio of their homologous sides . For they may always be divided into a ...
... ratio of their homologous sides ) . D D ! B For they can be divided into similar triangles . B THEOREM IX . Similar polygons are to one another in the duplicate ratio of their homologous sides . For they may always be divided into a ...
Σελίδα 90
... ratio of their homologous sides " is true of curvilinear figures as well as of rectilinear . Thus two circles are to one another as the squares on their diameters , or on their radii . The proof of this is too difficult to be given here ...
... ratio of their homologous sides " is true of curvilinear figures as well as of rectilinear . Thus two circles are to one another as the squares on their diameters , or on their radii . The proof of this is too difficult to be given here ...
Σελίδα 103
... BC be divided in any ratio not equal to unity in the point D , another point E may be found in BC produced such that BE : EC - BD : DC . F D B H Draw any line BF . Join FD and produce it PROPORTIONAL LINES . SIMILAR FIGURES . 103.
... BC be divided in any ratio not equal to unity in the point D , another point E may be found in BC produced such that BE : EC - BD : DC . F D B H Draw any line BF . Join FD and produce it PROPORTIONAL LINES . SIMILAR FIGURES . 103.
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A'BC Algebra alternate angle altitude angle equal arc CD ARITHMETIC bisect BROOKE FOSS WESTCOTT Cambridge centre circle touching circumference Clifton College cloth coincide congruent CONIC SECTIONS contain convex angle convex polygon Crown 8vo diagonals diameter dicular divide EDUCATIONAL BOOKS Edward Thring ELEMENTARY TREATISE equal angles equally distant equally remote equiangular equilateral triangle Examples exterior angle Extra fcap Fcap Find the locus GEOMETRY given angle given circle given line given point given straight line Grammar greater Head Master Hence intersect isosceles John's College late Fellow Let ABCD line drawn measure meet middle point opposite sides parallel to CD parallelogram perpen perpendicular polygon produced quadrilateral figure radius rectangle right-angled triangle Schools Second Edition segments Shew shortest line similar triangles square on BC student tangent THEOREM THEOREM VII trapezium triangle ABC vertex