Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 36
... chord is called a segment . It will be seen that every chord divides the circumference into two arcs ACB , ADB ; and the circle into two segments denoted by the same letters . THEOREM I. The diameter EOC , drawn per- pendicular to.
... chord is called a segment . It will be seen that every chord divides the circumference into two arcs ACB , ADB ; and the circle into two segments denoted by the same letters . THEOREM I. The diameter EOC , drawn per- pendicular to.
Σελίδα 37
... diameter , and if one semi - circumference be turned about the diameter till it fall on the other , the two will coincide throughout , each point coinciding with its corresponding point . THEOREM II . The shortest line that can be drawn ...
... diameter , and if one semi - circumference be turned about the diameter till it fall on the other , the two will coincide throughout , each point coinciding with its corresponding point . THEOREM II . The shortest line that can be drawn ...
Σελίδα 38
... diameter ; and as be- fore is greater than any other line AE . Thus the diameter is the greatest line that can be drawn in a circle . B 31 THEOREM III . Of two straight lines AD , AE 38 ELEMENTARY GEOMETRY .
... diameter ; and as be- fore is greater than any other line AE . Thus the diameter is the greatest line that can be drawn in a circle . B 31 THEOREM III . Of two straight lines AD , AE 38 ELEMENTARY GEOMETRY .
Σελίδα 45
... diameter through A , and would therefore be greater than CD ; and if the arc AB were less than the arc CD , the chord AB would be less than the chord CD . [ II . 4. Cor . 2 . Conversely ; if AOB be greater than , equal to , or less than ...
... diameter through A , and would therefore be greater than CD ; and if the arc AB were less than the arc CD , the chord AB would be less than the chord CD . [ II . 4. Cor . 2 . Conversely ; if AOB be greater than , equal to , or less than ...
Σελίδα 53
... diameter through that point , shew that they are equal . 5. The same if the point be without the circumference . 6. Find the longest and shortest lines that can be drawn between two given circumferences . 7. If two equal circumferences ...
... diameter through that point , shew that they are equal . 5. The same if the point be without the circumference . 6. Find the longest and shortest lines that can be drawn between two given circumferences . 7. If two equal circumferences ...
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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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