A Complete System of Mensuration ...1851 |
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Página 64
... AXIS or DIAMETER of a Sphere is a straight line passing through the centre , and both ends terminating at the surface . 11. A CIRCULAR SPINDLE is a solid generated by the re- volution of a segment of a circle about its chord . 12. An ...
... AXIS or DIAMETER of a Sphere is a straight line passing through the centre , and both ends terminating at the surface . 11. A CIRCULAR SPINDLE is a solid generated by the re- volution of a segment of a circle about its chord . 12. An ...
Página 67
... axis of which makes an angle of 75 ° with the base , the axis and the circumference of the base being each 20 feet . 965926 × 20 Sin . 75 ° = 19.31852 the perpendicular height . Ans . 614-9278 cubic feet . • This is proved the same way ...
... axis of which makes an angle of 75 ° with the base , the axis and the circumference of the base being each 20 feet . 965926 × 20 Sin . 75 ° = 19.31852 the perpendicular height . Ans . 614-9278 cubic feet . • This is proved the same way ...
Página 68
... axis , and 12 inches from it . Required the content of each of its segments . Ans . 15 48738 and 125 · 88462 cubic feet . 5. Required the solid content of an upright cylinder 24 feet high , and the diameter of the base 27.713 inches ...
... axis , and 12 inches from it . Required the content of each of its segments . Ans . 15 48738 and 125 · 88462 cubic feet . 5. Required the solid content of an upright cylinder 24 feet high , and the diameter of the base 27.713 inches ...
Página 69
... axis of the pyra- mid be given , make BC equal to it ; or if the slant perpen- dicular be given , make PC equal to ... axis is 9 feet , and each side of the base 29 inches . Ans . 2.5980762 × 29 × 29 × 9 × ÷ 144 = 45.52046 cub . feet . 4 ...
... axis of the pyra- mid be given , make BC equal to it ; or if the slant perpen- dicular be given , make PC equal to ... axis is 9 feet , and each side of the base 29 inches . Ans . 2.5980762 × 29 × 29 × 9 × ÷ 144 = 45.52046 cub . feet . 4 ...
Página 71
... axis is 9 feet , and the circumference of the base 7 feet 10 inches . Ans . 14-6488914 cubic feet . 3. Required the content of a cone , the slant side 15 feet , and the radius of the base 19 inches . The axis is 178-994413 inches . Ans ...
... axis is 9 feet , and the circumference of the base 7 feet 10 inches . Ans . 14-6488914 cubic feet . 3. Required the content of a cone , the slant side 15 feet , and the radius of the base 19 inches . The axis is 178-994413 inches . Ans ...
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Términos y frases comunes
18 feet 18 inches 20 feet 9 inches ABCD acres arch arithm axis base base 36 bound breadth central distance centre chord circle circular circumference cosine cubic feet cubic inches curve cylinder diagonal divided double measure draw EDINBURGH ACADEMY ellipse equal feet 6 inches feet long find the area find the solid fleur-de-lis frustum Geom girt given gonal greatest diameter half the sum hyperbola hypotenuse inches broad logarithm mouldings multiply NOTE parabola parallel pentagonal pyramid perches perpendicular perpendicular height poles polygon PROB pyramid quotient radius Required the area Required the content Required the solid Required the surface right angle roods RULE segment side-walls sides solid content spheroid spindle square feet square foot square yard station straight line subtract taken tangent THEODOLITE thickness triangle ABC versed sine
Pasajes populares
Página 74 - To twice the length of the base add the length of the edge ; multiply the sum by the breadth of the base, and by one-sixth of the height.
Página 188 - I would have a square foot cut off parallel to the shorter edge ; I would then have the like quantity divided from the remainder parallel to the longer side...
Página 57 - So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Página 64 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Página 12 - Quadrilateral ; of five sides a Pentagon ; of six sides a Hexagon ; of seven sides a Heptagon ; of eight sides an Octagon ; of nine sides a Nonagon ; of ten sides a Decagon ; of twelve sides a Dodecagon.
Página 71 - To find the solidity of a cone. RULE. Multiply the area of the base by the perpendicular height, and ^ of the product will be the solidity.
Página 36 - Art. 191. THE area or surface of a figure is the number of square inches, feet, yards, &c., which it contains. A square constructed upon a straight line, of which the length is an inch, is called a square inch; and the same is to be understood of a square foot, &c. This is called the measuring unit, and the area of any figure is the number of times it contains the measuring unit. Art. 192. To FIND THE AREA OF A TRIANGLE.
Página 144 - To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.
Página 33 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 88 - A SPHEROID is a solid, generated by the revolution of an ellipse about one of its diameters. If the ellipse revolves about its longer or...