Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 12
... third angle of the first is equal to the third angle of the second . COR . 2. The exterior angle is greater than either of the interior and opposite angles . THEOREM XI . If in any triangle ABC the side AB be equal to the side AC , then ...
... third angle of the first is equal to the third angle of the second . COR . 2. The exterior angle is greater than either of the interior and opposite angles . THEOREM XI . If in any triangle ABC the side AB be equal to the side AC , then ...
Σελίδα 28
... third interior angle meet all in one point . 31. CX , CY are two straight lines at right angles . AB a straight line of fixed length moves so that its extremi- ties are always on CX , CY . Find the locus of the middle point of AB ...
... third interior angle meet all in one point . 31. CX , CY are two straight lines at right angles . AB a straight line of fixed length moves so that its extremi- ties are always on CX , CY . Find the locus of the middle point of AB ...
Σελίδα 32
... lines . With centre B and radius equal to the second given line describe an arc . With centre C and radius equal to the third given line describe an arc intersecting the former one in A. Join BA , AC . ABC 32 ELEMENTARY GEOMETRY .
... lines . With centre B and radius equal to the second given line describe an arc . With centre C and radius equal to the third given line describe an arc intersecting the former one in A. Join BA , AC . ABC 32 ELEMENTARY GEOMETRY .
Σελίδα 35
... third part of its length . 11. To construct a square on a given line . 12. To construct a 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 ...
... third part of its length . 11. To construct a square on a given line . 12. To construct a 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 ...
Σελίδα 38
... Third case . Let A be upon the circumference . AB is now nothing . AC is the 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 . E E A THEOREM III . Of ...
... Third case . Let A be upon the circumference . AB is now nothing . AC is the 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 . E E A THEOREM III . 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