 | 352 pages
...point moving along the line. Experimentally, plot the locus of the mid-point of OP. LOCI THEOREM 25. The locus of a point which is equidistant from two...of the straight line joining the two fixed points. .P NB fig. 111. Data P is any one position of a point which is always equidistant from two fixed points... | |
 | University of Bombay - 1907 - 328 pages
...£',Q,R respectively. Prove that the area of the triangle I'QJH, is double that of the triangle ABC. 4: The locus of a point which Is equidistant from two...of the straight line joining the two fixed points. SECTION II. 5. In any triangle the sum of the squares on two sides is equal to twice the square on... | |
 | 460 pages
...Alternatively, the locus is the set of all those points which satisfy the given geometrical condtions. Theorem I The locus of a point which is equidistant from two...perpendicular bisector of the straight line joining the two points. Converse of Theorem 1 Any point on the perpendicular bisector of a line segment joining two... | |
 | Mathematics - 1965 - 232 pages
...14. If two angles of a triangle are equal, the sides opposite to these angles are equal. Loci. A 15. The locus of a point which is equidistant from two...perpendicular bisector of the straight line joining the two points. A 16. The locus of a point which moves within a given angle and is equidistant from the two... | |
 | Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...a given point outside it, the perpendicular is the shortest , 28 Loci. Note on loci 28 THEOREM 22. The locus of a point which is equidistant from two...points is the perpendicular bisector of the straight Hue joining the two fixed points , 29 PROPORTIONAL DIVISION OF STRAIGHT LINES. PAGE THEOREM 24. If... | |
 | University of Bombay - 1907 - 940 pages
...angle contained by those sides is obtuse, right or acute. The difference in the cases of inequality is twice the rectangle contained by one of the two sides and the projection on it of the other. In any triangle the sum of the squares on two sides is equal to twice the square on half the base,... | |
 | James McMahon - 2018 - 244 pages
...point moving along the line. Experimentally, plot the locus of the mid-point of OP. BOOK I THEOREM 25. The locus of a point which is equidistant from, two...points is the perpendicular bisector of the straight lino Joining the two fixed points. fig. 155. Data P is any one position of a point which is always... | |
 | G. P. West - Geometry - 1965 - 362 pages
...together with twice the square on half the third side. 263 Loci THEOREM 32. The locus of points which are equidistant from two fixed points is the perpendicular...of the straight line joining the two fixed points. 264 THEOREM 33. The locus of points which are equidistant from two intersecting straight lines consists... | |
 | University of Bombay - 1916 - 654 pages
...twice the square on half the base, together with twice the square on the median which hisects the hase. loci. The locus of a point which is equidistant from two fixed points is the perpendicular hisector of the straight line joining the two fixed points. The locus of a point which is equidistant... | |
 | University of New Zealand - 1904 - 362 pages
...that plane. The plane angles which contain any solid angle are together less than four right angles. The locus of a point which is equidistant from two fixed points is the plane bisecting at right angles the join of the two fixed points. The locus of a straight line perpendicular... | |
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The square on a side of a triangle is greater than, equal to, or less than, the sum of the squares on the other two sides, according as the angle contained by those sides is obtuse, right or acute. 
