Mensuration for Beginners: With Numerous ExamplesMacmillan and Company, 1869 - 296 σελίδες |
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Σελίδα 126
... the cone , and some- times the slant height of the cone . If a cone be cut by any plane parallel to the base , the intersection of the plane and the cone is a circle ; for example , GH in the diagram represents such a circle . When a ...
... the cone , and some- times the slant height of the cone . If a cone be cut by any plane parallel to the base , the intersection of the plane and the cone is a circle ; for example , GH in the diagram represents such a circle . When a ...
Σελίδα 151
... height of the pyramid . Using the same figure as in the preceding Exercise , let G be the middle point of AD . Then ... slant height of the pyramid . ( 3 ) A corner of a cube is cut off by a plane which meets the edges at distances 3 , 4 ...
... height of the pyramid . Using the same figure as in the preceding Exercise , let G be the middle point of AD . Then ... slant height of the pyramid . ( 3 ) A corner of a cube is cut off by a plane which meets the edges at distances 3 , 4 ...
Σελίδα 153
With Numerous Examples Isaac Todhunter. 19. Volume 60.7 cubic feet ; height 5'45 feet . 20. Volume 120 cubic feet ; height 6.24 feet . 21. The faces of a pyramid on a square ... The slant side of a right circular cone is EXAMPLES . XXV . 153.
With Numerous Examples Isaac Todhunter. 19. Volume 60.7 cubic feet ; height 5'45 feet . 20. Volume 120 cubic feet ; height 6.24 feet . 21. The faces of a pyramid on a square ... The slant side of a right circular cone is EXAMPLES . XXV . 153.
Σελίδα 154
... the base being 8 feet , and the slant side 17 feet . 34. A conical wine glass is 2 inches wide at the top and 3 inches deep : find how many cubic inches of wine it will hold . 35. Find the volume of a circular cone , the height of which ...
... the base being 8 feet , and the slant side 17 feet . 34. A conical wine glass is 2 inches wide at the top and 3 inches deep : find how many cubic inches of wine it will hold . 35. Find the volume of a circular cone , the height of which ...
Σελίδα 156
... 10 inches respectively ; and the slant height of the frustum is 5 inches . We must determine the height of the frus- tum . Let the diagram re- present a section of the frustum made by a plane , containing the axis of the cone . We see that ...
... 10 inches respectively ; and the slant height of the frustum is 5 inches . We must determine the height of the frus- tum . Let the diagram re- present a section of the frustum made by a plane , containing the axis of the cone . We see that ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
12 feet 12 inches 20 inches 24 feet 9 inches ABCD acres breadth centre chains chord of half circle circumference cubic feet cubic foot cubic inches curved surface diagonal distance divided edge ends Examples feet 6 inches feet 9 feet long feet respectively find the area find the cost find the height find the length Find the number find the radius find the volume following dimensions frustum half the arc height 2 feet hypotenuse inches long inches wide multiply number of cubic parallel sides parallelogram perimeter perpendicular plane parallel polygon prism prismoid pyramid radii radius of base rectangle rectangular parallelepiped rectilineal figure regular polygon rhombus right angles right circular cone right circular cylinder Rule of Art sector segment shew slant height solid solve some exercises sphere square feet square inches square root square yard superficial primes Suppose trapezoid wedge whole surface yards 1 foot yards 2 feet
Δημοφιλή αποσπάσματα
Σελίδα 4 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 124 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 17 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw a straight line through the point A parallel to the straight line BC. In BC take any point g D, and join AD ; at the point A in the straight line AD, make the angle DAE equal to the angle
Σελίδα 74 - RULE. — From half the sum of the three sides, subtract each side separately; multiply the half -sum and the three remainders together; the square root of the product is the area.
Σελίδα 18 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it. Let AB be the given straight line, which may be produced to any length both ways, and let c be a point without it.
Σελίδα 7 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Σελίδα 4 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Σελίδα 272 - The content of a cistern is the sum of two cubes whose edges are 10 inches and 2 inches, and the area of its base is the difference of two squares whose sides are 1¿ and If feet.
Σελίδα 155 - To the areas of the two ends of the frustum add the square root of their product ; multiply the sum by the height of the frustum ; and one-third of the product will be the volume.
Σελίδα 230 - Add into one sum 39 times the square of the bung diameter, 25 times the square of the head diameter, and 26 times the product of the...