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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. "
Mathematics in the Lower and Middle Commercial and Industrial Schools of ... - Page 18
by Edson Homer Taylor - 1915 - 96 pages
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Elements of Geometry

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

Education - 1890 - 776 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...
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Elements of Synthetic Solid Geometry

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...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 355 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...
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Calendar

University of St. Andrews - 1903 - 764 pages
...triangle exceeds the square on the side opposite the angle by twice the rectangle contained by either of the two sides and the projection on it of the other. In the triangle ABC, BC = 7, CA = 8, AB = 6. D is the projection of A on BC. Calculate AD and CD, and...
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Science Examinations ... Reports, Etc

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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Calendar

University of Allahabad - 1908 - 568 pages
...angle contained by those sides is obtuse, right, or acute. The difference in the case of inequality is twice the rectangle contained by one of the two...perpendicular bisector of the straight line joining the two iixed points. The locus of a point which is equidistant from two intersecting straight lines consists...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...contained by those sides is obtuse, a right angle, or acute ; the difference in cases of inequality being twice the rectangle contained by one of the two sides and the projection on it of the other. EXERCISES. 1. In a triangle ABC, ci=21 cm., b — \l cm., c=10 cm. By howmany square centimetres does...
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...third side, and equal to one half of it. 209' The locus of all points equally distant from two given points is the perpendicular bisector of the straight line joining the two points. 212. The locus of points equally distant from two given intersecting straight lines consists...
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Calendar

University of Allahabad - 1909
...angle contained by those sides is obtuse, right, or acute. The difference in the case of inequality is twice the rectangle contained by one of the two...The locus of a point which is equidistant from two fiied points is the perpendicular bisector of the straight line joining the two fixed points. The locus...
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