Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 22
... centre of any circle passing through A and B , P must be equally distant from A and B ; therefore it must lie somewhere on CD . In such a case CD is called the locus of P. THEOREM XX . Let AB , AC be two straight lines which meet in A ...
... centre of any circle passing through A and B , P must be equally distant from A and B ; therefore it must lie somewhere on CD . In such a case CD is called the locus of P. THEOREM XX . Let AB , AC be two straight lines which meet in A ...
Σελίδα 29
... centre of the circle . 1. To draw a straight line bisecting a given finite straight line at right angles . Let AB be the given finite straight line . With centre A and distance greater than half AB describe a circumference ; with centre ...
... centre of the circle . 1. To draw a straight line bisecting a given finite straight line at right angles . Let AB be the given finite straight line . With centre A and distance greater than half AB describe a circumference ; with centre ...
Σελίδα 30
... centre A and any distance describe the arc BC . With centre B and any distance describe an arc . With centre C and the same distance describe an arc 30 ELEMENTARY GEOMETRY .
... centre A and any distance describe the arc BC . With centre B and any distance describe an arc . With centre C and the same distance describe an arc 30 ELEMENTARY GEOMETRY .
Σελίδα 31
... centre C and a distance greater than the distance of C from AB describe a circumference cutting AB in D and E. C is equally distant from D and E , and must therefore lie on the line A D [ I. 13 4 B F B E D bisecting DE at right angles ...
... centre C and a distance greater than the distance of C from AB describe a circumference cutting AB in D and E. C is equally distant from D and E , and must therefore lie on the line A D [ I. 13 4 B F B E D bisecting DE at right angles ...
Σελίδα 32
... centre A and any distance AD describe the arc DE . With centre B and the same distance describe the arc CF. Take off with the compass the length DE , and with centre C and this distance describe an arc intersecting CF in F. Join BF ...
... centre A and any distance AD describe the arc DE . With centre B and the same distance describe the arc CF. Take off with the compass the length DE , and with centre C and this distance describe an arc intersecting CF in F. Join BF ...
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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