Wentworth & Hill's Exercise Manuals: Geometry, Issue 3Ginn, Heath,, 1884 |
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WENTWORTH & HILLS EXERCISE MAN G. a. (George Albert) 1835-1 Wentworth,G. a. (George Anthony) 1842-1916 Hill No preview available - 2016 |
"Wentworth & Hill's. Exercise Manuals, No.3 - Geometry G. A. Wentworth,G. A. Hill No preview available - 2017 |
Wentworth & Hill's Exercise Manuals.(: Geometry, Issue 3 George Albert Wentworth,George Anthony Hill No preview available - 2016 |
Common terms and phrases
ABCD altitude apothem Auxiliary triangles base bisectors bisects centre chord circumference circumscribed construct a circle construct a triangle decagon denote diagonals distance divide a given draw a line equation equidistant equilateral triangle equivalent find a point Find the area Find the length find the locus Find the radius Find the volume frustum given circle given length given line given point given square given triangle hypotenuse inches intersection isosceles trapezoid isosceles triangle join L₁ legs line drawn line parallel middle points P₁ parallelogram perimeter perpendicular plane problem produced pyramid quadrilateral radii radius rectangle regular hexagon regular octagon regular pentagon regular polygon rhombus right cone right cylinder right triangle secant segment similar slant height sphere square feet straight line tangent tangents drawn Theorem touch trapezoid triangle ABC vertex vertices
Popular passages
Page 85 - To find the locus of points from which two given circles will be seen under equal angles. Show that the distances from any point in the locus to the centres of the two circles are as the radii of the circles; this reduces the problem to Ex. 12. 17. To find the locus of the points from which a given straight line is seen under a given angle. 18. To find the locus of the vertex of a triangle, having given the. base and the ratio of the other two sides. 19. To find the locus of the points in a plane...
Page xiv - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Page 81 - Find the locus of a point such that the sum of the squares of its distances from two fixed points shall be equivalent to the square of the distance between the fixed points.
Page 64 - In any triangle, the product of two sides is equal to the square of the bisector of the included angle plus the product of the segments of the third side. Hyp. In A abc, the bisector t divides c into the segments, p and q. To prove ab = t
Page 81 - Find the locus of a point such that the difference of the squares of its distances from two given points is equal to a given constant k-.
Page 35 - A cone, whose slant height is equal to the diameter of its base, is inscribed in a given sphere, and a similar cone is circumscribed about the same sphere.
Page 8 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Page xiv - An isosceles trapezoid is a trapezoid whose non-parallel sides are equal. A pair of angles including only one of the parallel sides is called a pair of base angles. Pairs of base angles The median of a trapezoid is parallel to the bases and equal to onehalf their sum.
Page 64 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Page xv - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.