Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 21
... regular polygon of n sides is equal to one nth part of four right angles . LOCI . THEOREM XIX . Through the middle point of AB let CD be drawn perpendicular to AB . Then every point on CD is equally distant from A and from B. For if P ...
... regular polygon of n sides is equal to one nth part of four right angles . LOCI . THEOREM XIX . Through the middle point of AB let CD be drawn perpendicular to AB . Then every point on CD is equally distant from A and from B. For if P ...
Σελίδα 28
... regular figure . Shew that the only figures which can be used are the equilateral triangle , the square , and the regular hexagon . 27. Shew that admitting two sorts of regular figures of the same sides , the pavement may be formed of 1 ...
... regular figure . Shew that the only figures which can be used are the equilateral triangle , the square , and the regular hexagon . 27. Shew that admitting two sorts of regular figures of the same sides , the pavement may be formed of 1 ...
Σελίδα 35
... regular hexagon on a given line . 13. To construct a regular octagon on a given line . BOOK II . THE CIRCLE . THE radius of a 3-2 THE STRAIGHT LINE . 35 8. To construct a parallelogram, knowing, ...
... regular hexagon on a given line . 13. To construct a regular octagon on a given line . BOOK II . THE CIRCLE . THE radius of a 3-2 THE STRAIGHT LINE . 35 8. To construct a parallelogram, knowing, ...
Σελίδα 54
... its middle point . 24. Shew that a circle may be described about any regular polygon ; i . e . any polygon having equal sides and angles . 25. Can a circle be described about any quadrilateral figure 54 ELEMENTARY GEOMETRY .
... its middle point . 24. Shew that a circle may be described about any regular polygon ; i . e . any polygon having equal sides and angles . 25. Can a circle be described about any quadrilateral figure 54 ELEMENTARY GEOMETRY .
Σελίδα 57
... regular hexagon . [ II . 16 . [ II . 15. COR . 2 . 20. Construct a circle touching a given line in a given point , and 1. Passing through a given point . 2. Having a given radius . 3. Touching another given line . BOOK III . AREA OF ...
... regular hexagon . [ II . 16 . [ II . 15. COR . 2 . 20. Construct a circle touching a given line in a given point , and 1. Passing through a given point . 2. Having a given radius . 3. Touching another given line . BOOK III . AREA OF ...
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A'BC Algebra alternate angle altitude angle equal arc CD ARITHMETIC bisect BROOKE FOSS WESTCOTT Cambridge centre circle touching circumference cloth coincide congruent CONIC SECTIONS contain convex angle convex polygon Crown 8vo diagonals diameter dicular divide duplicate ratio 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 BC parallelogram perpen perpendicular polygon produced quadrilateral figure radius rectangle right angles right-angled triangle Schools Second Edition segments Shew shortest line similar triangles student subtend tangent THEOREM THEOREM VII Third Edition trapezium triangle ABC vertex