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" ... points. The locus of a point which is equidistant from two intersecting straight lines consists of the pair of straight lines which bisect the angles between the two given lines. "
The Calendar - Σελίδα 71
των University of South Africa - 1913
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Elements of Geometry

Simon Newcomb - 1881 - 418 σελίδες
...of the point which is equally distant from A and B. Therefore the locus of a point equally distant from two fixed points is the perpendicular bisector of the straight line joining the points. PROBLEM IV 503. To find the locus of the point which is at a given distance from a given point....

The Ohio Educational Monthly and the National Teacher: A Journal ..., Τόμος 39

1890 - 770 σελίδες
...touching a given straight line. The locus of all the centers of all the circles passing through two given points is the perpendicular bisector of the straight line joining the two points; and the locus of the centers of all the circles touching a given straight line is a parallel...

A Text-book of Geometrical Deductions

James Andrew Blaikie, William Thomson - 1891 - 154 σελίδες
...PH, GK ± PG. PH and GK produced both ways form the locus. Prove this by means of Euc. I. 34. 4. Find the locus of a point which is equidistant from two intersecting straight lines. (A Standard Locus.) B Let AB, CD be the given lines, P a point which satisfies the condition. Join...

Elements of Synthetic Solid Geometry

Nathan Fellowes Dupuis - 1893 - 268 σελίδες
...given line-segment is upon the right-bisector plane of the segment. Cor. From this it appears that the locus of a point which is equidistant from two fixed points is the rightbisector plane of the join of the points. 26. Def. The planes which pass through the edge of a...

Plane Geometry

William James Milne - 1899 - 258 σελίδες
...given conditions. 2. That any point not in the lines cannot satisfy the given conditions. Ex. 369. Find the locus of a point which is equidistant from two intersecting straight lines. Data : Any two straight lines, as AB and CD, intersecting at the point K. Required to find the locus...

Plane and Solid Geometry

William James Milne - 1899 - 398 σελίδες
...given conditions. 2. That any point not in the lines cannot satisfy the given conditions. Ex. 369. Find the locus of a point which is equidistant from two intersecting straight lines. Data: Any two straight lines, as AB and CD, intersecting at the point K. Required to find the locus...

The Student's Handbook to the University and Colleges of Cambridge

1902 - 716 σελίδες
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The School World: A Monthly Magazine of Educational Work and Progress, Τόμος 5

1903 - 692 σελίδες
...twice the rectangle contained by one of the two sides and the projection on it of the other. Loci. — The locus of a point which is equidistant from two...straight lines consists of the pair of straight lines which bisect the angles between the two given lines. The Circle. — The straight line, drawn from...

Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 384 σελίδες
...the locus of the mid.point of OP, when P moves round the circumference of the circle. 10 THEOREM 25. The locus of a point which is equidistant from two...of the straight line joining the two fixed points. fig. 155. Data P is any one position of a point which is always equidistant from two fixed points A...

School: A Monthly Record of Educational Thought and Progress, Τόμος 4

1905 - 272 σελίδες
...quadrilateral in which AB = CD and AD = BC, show that AB is parallel to CD and AD to BC. (3) Show that the locus of a point which is equidistant from two intersecting straight lines consists of a pair of straight lines which bisect the angles between the two given lines. Draw a triangle whose...




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