Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 25
... intersect in O. Then since O is a point on DG , it is equally distant from B and C. [ I. 19 . And since O is a point on EH , it is equally distant from C and A. [ I. 19 . Therefore O is equally distant from B and A. Therefore is a point ...
... intersect in O. Then since O is a point on DG , it is equally distant from B and C. [ I. 19 . And since O is a point on EH , it is equally distant from C and A. [ I. 19 . Therefore O is equally distant from B and A. Therefore is a point ...
Σελίδα 29
... straight line . With centre A and distance greater than half AB describe a circumference ; with centre B and same distance describe a circumference . These circumferences must intersect in two points as CONSTRUCTIONS. ...
... straight line . With centre A and distance greater than half AB describe a circumference ; with centre B and same distance describe a circumference . These circumferences must intersect in two points as CONSTRUCTIONS. ...
Σελίδα 30
... intersect below AB , should be the same as that of those which intersect above . 2. To bisect a given angle , as A. With centre A and any distance describe the arc BC . With centre B and any distance describe an arc . With centre C and ...
... intersect below AB , should be the same as that of those which intersect above . 2. To bisect a given angle , as A. With centre A and any distance describe the arc BC . With centre B and any distance describe an arc . With centre C and ...
Σελίδα 31
E. M. Reynolds. With centre C and the same distance describe an arc intersecting the first in D. A B Join AD . AD bisects BAC 3. To draw a line perpendicular to a given line AB . First . From a given point within it as C. In CA take any ...
E. M. Reynolds. With centre C and the same distance describe an arc intersecting the first in D. A B Join AD . AD bisects BAC 3. To draw a line perpendicular to a given line AB . First . From a given point within it as C. In CA take any ...
Σελίδα 32
... intersecting CF in F. Join BF . Then CBF is equal to A. [ 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 each . 5. Through a given point to draw a straight line parallel ...
... intersecting CF in F. Join BF . Then CBF is equal to A. [ 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 each . 5. Through a given point to draw a straight line parallel ...
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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