Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 21
... 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 be any point on CD , and PA , PB be joined , these lines must be equal ...
... 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 be any point on CD , and PA , PB be joined , these lines must be equal ...
Σελίδα 22
... 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 , and let AD bisect the angle BAC . Every point in AD shall be equally distant from AB 22 ELEMENTARY GEOMETRY .
... 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 , and let AD bisect the angle BAC . Every point in AD shall be equally distant from AB 22 ELEMENTARY GEOMETRY .
Σελίδα 23
... PE . GH < GE . Hence AD is the locus of a point equally distant from AB and from AC . If AD be equally distant from AB and AC , the distance being measured by perpendiculars let fall from a point in THE STRAIGHT LINE . 23.
... PE . GH < GE . Hence AD is the locus of a point equally distant from AB and from AC . If AD be equally distant from AB and AC , the distance being measured by perpendiculars let fall from a point in THE STRAIGHT LINE . 23.
Σελίδα 28
... locus of a point , given 1 . Its distance from a fixed point . 2. Its distance from a fixed line . 3. The sum of its distances from two fixed lines . 4. The difference of its distances from two fixed lines . 30. If two sides of a ...
... locus of a point , given 1 . Its distance from a fixed point . 2. Its distance from a fixed line . 3. The sum of its distances from two fixed lines . 4. The difference of its distances from two fixed lines . 30. If two sides of a ...
Σελίδα 52
... HBF = 0 . ACBABE . 1. Determine the locus of a point which is always equally distant from a given circumference . Discuss the several cases . 2. A line of fixed length remains always parallel to 52 ELEMENTARY GEOMETRY .
... HBF = 0 . ACBABE . 1. Determine the locus of a point which is always equally distant from a given circumference . Discuss the several cases . 2. A line of fixed length remains always parallel to 52 ELEMENTARY GEOMETRY .
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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