Wentworth & Hill's Exercise Manuals, Τεύχος 3Ginn & Company, 1886 - 228 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
"Wentworth & Hill's Exercise Manuals: Geometry, Τεύχος 3 George Albert Wentworth Πλήρης προβολή - 1904 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude Analysis apothem Auxiliary triangles base bisectors bisects centre chord circumference circumscribed construct a circle construct a triangle cubic decagon denote diagonals diameter distance draw a line 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 inscribed regular intersection isosceles trapezoid isosceles triangle join K₁ L₁ legs line drawn median method of loci middle points P₁ parallelogram perimeter perpendicular plane parallel problem produced quadrilateral radii rectangle regular hexagon regular polygon rhombus right cone right cylinder right triangle secant segment similar slant height sphere square feet straight line tangent tangents drawn Theorem trapezoid triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα xxiii - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 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.
Σελίδα 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
Σελίδα 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...
Σελίδα 65 - The sum of the squares of the four sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the mid-points of the diagonals.
Σελίδα 14 - ... is less than the difference of the radii. Illustrate each case by a figure.
Σελίδα 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.
Σελίδα 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.
Σελίδα 10 - Lines drawn through the vertices of a quadrilateral, parallel to the diagonals, form a parallelogram twice as large as the quadrilateral.