Wentworth & Hills's Exercise Manuals: Geometry, Τεύχος 3Ginn & Company, 1889 |
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Σελίδα 105
... wide round the inside of its perimeter . What will be the expense of gravelling the path at 12 cents per square yard ? 8. What will it cost , at 18 cents per square foot , to tile a walk 2 feet 6 inches wide round the outside of a ...
... wide round the inside of its perimeter . What will be the expense of gravelling the path at 12 cents per square yard ? 8. What will it cost , at 18 cents per square foot , to tile a walk 2 feet 6 inches wide round the outside of a ...
Σελίδα 106
... wide is the street ? 14. How many yards of paper 27 inches wide will be required to paper a room 18 feet long , 12 feet wide , and 11 feet high ? 15. The perimeter of a rectangle is 72 feet , and its length is equal to twice its width ...
... wide is the street ? 14. How many yards of paper 27 inches wide will be required to paper a room 18 feet long , 12 feet wide , and 11 feet high ? 15. The perimeter of a rectangle is 72 feet , and its length is equal to twice its width ...
Σελίδα 107
... wide will be required to pave a path 8 feet wide surrounding a rec- tangular court 60 feet long and 36 feet wide ? 28. A carpenter requires 3 square feet of plank , and he has a plank 14 feet wide from which to cut it off . Find the ...
... wide will be required to pave a path 8 feet wide surrounding a rec- tangular court 60 feet long and 36 feet wide ? 28. A carpenter requires 3 square feet of plank , and he has a plank 14 feet wide from which to cut it off . Find the ...
Σελίδα 109
... wide , 25 feet high to the roof , and 35 feet high to the ridgepole . Find the num- ber of square feet in the entire exterior surface . 61. What must be the length of the hypotenuse of a right triangle in order that its area may be ...
... wide , 25 feet high to the roof , and 35 feet high to the ridgepole . Find the num- ber of square feet in the entire exterior surface . 61. What must be the length of the hypotenuse of a right triangle in order that its area may be ...
Σελίδα 112
... wide ? 90. The dimensions of a triangle are : base , 360 feet ; altitude , 240 feet . Find the altitude of an equivalent parallelogram if its base is 270 feet . 91. A triangle whose base is 50 feet is equivalent 112 GEOMETRY .
... wide ? 90. The dimensions of a triangle are : base , 360 feet ; altitude , 240 feet . Find the altitude of an equivalent parallelogram if its base is 270 feet . 91. A triangle whose base is 50 feet is equivalent 112 GEOMETRY .
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude Analysis apothem Auxiliary triangles base bisectors bisects 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 line parallel median method of loci middle points P₁ parallelogram perimeter perpendicular plane 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 79 - To find the locus of a point such that the sum of the squares of its distances from two given points A, B is constant.
Σελίδα xxiii - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 6 - A pyramid 15 ft. high has a base containing 169 sq. ft. At what distance from the vertex must a plane be passed parallel to the base so that the section may contain 100 sq.ft.?
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 62 - 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 81 - OP= 4 inches, r = 4 inches. 16. 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...
Σελίδα xxiii - AREAS. 175. Definitions. Equivalent figures, area of a figure, units of area, transformation of a figure. 176. Theorem. Two rectangles having equal bases are to each other as their altitudes; and two rectangles having equal altitudes are to each other as their bases. 177. Theorem. Any two rectangles are to each other as the products of their bases and altitudes. 178. Theorem. Area of a rectangle = base X altitude. 179. Theorem. Area of a square = square of one side. 180. Theorem. Area of a parallelogram...
Σελίδα xiv - A straight line drawn parallel to the base of a triangle, bisecting one of the sides, bisects the other also ; and the part intercepted between the two sides is equal to half the base. 72. Theorem. The median of a trapezoid is' parallel to the bases and equal to half their sum. 73. Theorem. Equidistant parallels divide every secant into equal parts. BOOK II. THE CIRCLE. THE CIRCLE AND STRAIGHT LINES. 74. Definitions. Circumference, circle, radius, diameter, arc, chord, semi-circumference, segment,...
Σελίδα 33 - 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 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.