 ... 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 - Page 71by University of South Africa - 1913Full view - About this book
 | Simon Newcomb - Geometry - 1881 - 418 pages
...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.... | |
 | Education - 1890 - 770 pages
...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... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1891 - 154 pages
...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... | |
 | Nathan Fellowes Dupuis - Geometry, Solid - 1893 - 268 pages
...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... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...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... | |
 | William James Milne - Geometry - 1899 - 398 pages
...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... | |
 | Education - 1903 - 692 pages
...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... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...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... | |
 | Ed - 1905 - 272 pages
...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... | |
 | 1906 - 502 pages
...to a given straight line from a given point outside it, the perpendicular is the shortest. Show that the locus of a point which is equidistant from two...straight line joining the two fixed points. The locus in the second part was seldom completely made out. Q. 10. Define parallel straight lines, parallelogram,... | |
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