Mensuration for Beginners: With Numerous ExamplesMacmillan and Company, 1869 - 296 sider |
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Side
... Frustum of a Pyramid or Cone 155 XXVII . Wedge 159 XXVIII . Prismoid 164 XXIX , Sphere 169 XXX . Zone and Segment of a Sphere 174 XXXI . Irregular Solids 178 XXXII . Similar Solids .. 180 FIFTH SECTION . AREAS OF THE SURFACES OF SOLIDS ...
... Frustum of a Pyramid or Cone 155 XXVII . Wedge 159 XXVIII . Prismoid 164 XXIX , Sphere 169 XXX . Zone and Segment of a Sphere 174 XXXI . Irregular Solids 178 XXXII . Similar Solids .. 180 FIFTH SECTION . AREAS OF THE SURFACES OF SOLIDS ...
Side 123
... frustum of a solid is a slice of it , contained between the base and any plane parallel to the base ; the base and the opposite face are called the ends of the frus- tum . Thus , if a pyramid be cut into two pieces by any plane parallel ...
... frustum of a solid is a slice of it , contained between the base and any plane parallel to the base ; the base and the opposite face are called the ends of the frus- tum . Thus , if a pyramid be cut into two pieces by any plane parallel ...
Side 124
... frustum of a pyramid . If the ends are rectangles , the prismoid is a frustum of a wedge : the term prismoid is by some wri- ters restricted to this solid . 222. A sphere is a solid having every point of its sur- face equally distant ...
... frustum of a pyramid . If the ends are rectangles , the prismoid is a frustum of a wedge : the term prismoid is by some wri- ters restricted to this solid . 222. A sphere is a solid having every point of its sur- face equally distant ...
Side 126
... frustum of a cone , see Art . 219. The slant side or slant height of the frustum of a cone is that portion of the slant side of the cone which is cut off by the frustum ; for example , in the diagram GC is the slant side of the frustum ...
... frustum of a cone , see Art . 219. The slant side or slant height of the frustum of a cone is that portion of the slant side of the cone which is cut off by the frustum ; for example , in the diagram GC is the slant side of the frustum ...
Side 127
... frustum of a solid , is the perpendicular drawn to one end from any point of the other end ; either end may be called a base . The height of a wedge is the perpendicular drawn from any point of the edge to the base . XXI . SOLID MEASURE ...
... frustum of a solid , is the perpendicular drawn to one end from any point of the other end ; either end may be called a base . The height of a wedge is the perpendicular drawn from any point of the edge to the base . XXI . SOLID MEASURE ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 124 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 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
Side 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.
Side 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.
Side 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.
Side 4 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Side 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.
Side 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.
Side 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...