A Practical System of Mensuration of Superficies and Solids ... |
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Page 18
... sides parallel and equal ; as , ABCD , ( fig . 1. ) D 1 C A P B 2 2. A Rectangle , or Right Paral - D lelogram has its opposite sides equal , and all its angles right angles ; as ABCD , ( fig . 2. ) C A B 3 D C 3. A Square is a ...
... sides parallel and equal ; as , ABCD , ( fig . 1. ) D 1 C A P B 2 2. A Rectangle , or Right Paral - D lelogram has its opposite sides equal , and all its angles right angles ; as ABCD , ( fig . 2. ) C A B 3 D C 3. A Square is a ...
Page 19
... sides equal , but its angles oblique ; as , ABCD , ( fig . 5. ) A 6. A Trapezoid is a quadrilateral figure , having only two of its sides parallel . The base of a figure is the side on which it stands , and the al- titude is the ...
... sides equal , but its angles oblique ; as , ABCD , ( fig . 5. ) A 6. A Trapezoid is a quadrilateral figure , having only two of its sides parallel . The base of a figure is the side on which it stands , and the al- titude is the ...
Page 20
... side ; as , Cp , ( fig . 7. ) The height of a four - sided figure is the perpendicular distance between two of its parallel sides ; as , Dp , ( fig . 1. ) IV . The area , or superficial contents of any plane figure , is the measure of ...
... side ; as , Cp , ( fig . 7. ) The height of a four - sided figure is the perpendicular distance between two of its parallel sides ; as , Dp , ( fig . 1. ) IV . The area , or superficial contents of any plane figure , is the measure of ...
Page 33
... parallel sides by the perpendicular distance between them , and half the product will be the area . Ex . 1. Required ... sides , and then multi- 321.51 + 214.24 = 535.75 = the ply it by the perpendicu- sum of the parallel sides ...
... parallel sides by the perpendicular distance between them , and half the product will be the area . Ex . 1. Required ... sides , and then multi- 321.51 + 214.24 = 535.75 = the ply it by the perpendicu- sum of the parallel sides ...
Page 38
... parallel sides are 38 and 26 rods , and whose breadth or height is 18 rods ? Ans . 6. Required the area of an octagon , whose side is 22 feet , and the perpendicular , from the centre on one of the sides , 12.478 feet . Ans . 7. What ...
... parallel sides are 38 and 26 rods , and whose breadth or height is 18 rods ? Ans . 6. Required the area of an octagon , whose side is 22 feet , and the perpendicular , from the centre on one of the sides , 12.478 feet . Ans . 7. What ...
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A Practical System of Mensuration of Superficies and Solids: Designed ... J. M. Scribner No preview available - 2017 |
A Practical System of Mensuration of Superficies and Solids J. M. Scribner No preview available - 2022 |
A Practical System of Mensuration of Superficies and Solids: Designed ... J. M. Scribner No preview available - 2017 |
Common terms and phrases
18 feet 18 inches 20 feet 9 feet ABCD ABFD assumed cube avoirdupois axis base 26 breadth chord circle whose diameter Circular Sector circular segment circumfer circumference circumscribed contained convex surface Cube Root cubic ft cubic inches cylinder cylindrical ring decimal diff divide the product ellipse ends entire surface equal extract the square feet 6 inches feet long find the area find the Solidity frustrum gallon half hypotenuse inner diameter inscribed square lateral surface miles Multiply the diameter Multiply the square multiply the sum Nonagon number of degrees number of sides number of square OPERATION parabola parallel sides parallelogram pentagonal pyramid perimeter perpendicular distance perpendicular height plane prism PROBLEM radius regular Polygon Required the area Required the solidity rhombus right angled triangle Rule Rule.-I Rule.-Multiply slant height solid contents sphere spherical segment spheroid square feet square rods square root square yards trapezium zoid zone
Popular passages
Page 53 - RULE. Find the area of the sector which has the same arc, and also the area of the triangle formed by the chord of the segment and the radii of the sector. Then...
Page 35 - Now, since the areas of similar polygons are to each other as the squares of their homologous sides...
Page 79 - A sphere is a solid terminated by a curved surface, all the points of which are equally distant from a point within called the centre.
Page 80 - A zone is a portion of the surface of a sphere included between two parallel planes.
Page 90 - ... to three times the square of the radius of the segment's base, add the square of its height ; then multiply the sum by the height, and the product by .5236 for the contents.
Page 49 - From 8 times the chord of half the arc subtract the chord of the whole arc, and ' of the remainder will be the length of the arc nearly.
Page 72 - RULE.* To the sum of the areas of the two ends add four times the area of a section parallel to and equally distant from both ends, and this last sum multiplied by £ of the height will give the solidity.
Page 51 - As 360 degrees is to the number of degrees in the arc of the sector, so is the area of the circle to the area of the sector.
Page 91 - From three times the diameter of the sphere subtract twice the height of the segment; multiply this remainder by the square of the height and the product by 0.5236.
Page 39 - A Circle is a plane figure bounded by a curve line, called the Circumference, which is everywhere equidistant from a certain point within, called its Centre.