Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα
... length upon a straight line , he requires us to describe five circles , an equi- lateral triangle , one straight line of limited , and two of un- limited length , he condemns his system to a divorce from practice at once and from sound ...
... length upon a straight line , he requires us to describe five circles , an equi- lateral triangle , one straight line of limited , and two of un- limited length , he condemns his system to a divorce from practice at once and from sound ...
Σελίδα 28
... length intercepted between the sides of the triangle is half that of the base . 23 . Converse of 22 . 24. The lines which join the middle points of the sides of any quadrilateral figure form a parallelogram : and the perimeter of this ...
... length intercepted between the sides of the triangle is half that of the base . 23 . Converse of 22 . 24. The lines which join the middle points of the sides of any quadrilateral figure form a parallelogram : and the perimeter of this ...
Σελίδα 32
... length DE , and with centre C and this distance describe an arc intersecting CF in F. Join BF . Then CBF is equal to 4 . [ I. 13 . For if DE and CF were joined the three sides of the triangle EAD would be equal to those of FBC , each to ...
... length DE , and with centre C and this distance describe an arc intersecting CF in F. Join BF . Then CBF is equal to 4 . [ I. 13 . For if DE and CF were joined the three sides of the triangle EAD would be equal to those of FBC , each to ...
Σελίδα 33
... length , and at B make an angle CBA equal to the given angle ; take BA equal to the side not opposite to the given angle , With centre A and radius If equal to the side opposite the given angle describe 3 THE STRAIGHT LINE . 33 B ...
... length , and at B make an angle CBA equal to the given angle ; take BA equal to the side not opposite to the given angle , With centre A and radius If equal to the side opposite the given angle describe 3 THE STRAIGHT LINE . 33 B ...
Σελίδα 35
... 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 LINE . 35 8. To ...
... 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 LINE . 35 8. To ...
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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