A Practical System of Mensuration of Superficies and Solids ... |
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Page 34
... centre , on one of the sides , is 13.76382 ; required the area . Ans . 688.191 sq . yds . Ex . 3. What is the area of a regular decagon whose sides are each 102 rods , and perpendicular from the centre 60 rods ? Ans . 30600 . Ex . 4 ...
... centre , on one of the sides , is 13.76382 ; required the area . Ans . 688.191 sq . yds . Ex . 3. What is the area of a regular decagon whose sides are each 102 rods , and perpendicular from the centre 60 rods ? Ans . 30600 . Ex . 4 ...
Page 38
... centre on one of the sides , 12.478 feet . Ans . 7. What is the area of a pentagon , whose side is 8 feet 4 inches , and the perpendicular , from the centre on one of the sides , 4 feet ? Ans . and 8. If the length of an irregular ...
... centre on one of the sides , 12.478 feet . Ans . 7. What is the area of a pentagon , whose side is 8 feet 4 inches , and the perpendicular , from the centre on one of the sides , 4 feet ? Ans . and 8. If the length of an irregular ...
Page 39
... centre ; AEBD ( fig . 1 ) is a circle . 1 D A B E 2. A Diameter of a circle is a straight line , passing through the centre and terminating at the circumference ; as AB ( fig . 1. ) 3. A Radius or Semi - Diameter is a straight line ...
... centre ; AEBD ( fig . 1 ) is a circle . 1 D A B E 2. A Diameter of a circle is a straight line , passing through the centre and terminating at the circumference ; as AB ( fig . 1. ) 3. A Radius or Semi - Diameter is a straight line ...
Page 40
... space between the circumferen- ces of two concentric circles ; thus , AB and DE ( fig . 6 ) is a A circular ring , having a common centre , C. A D 6 A 4 5 B B D B E the 7 D 12. A Lune or Crescent is space. 40 MENSURATION.
... space between the circumferen- ces of two concentric circles ; thus , AB and DE ( fig . 6 ) is a A circular ring , having a common centre , C. A D 6 A 4 5 B B D B E the 7 D 12. A Lune or Crescent is space. 40 MENSURATION.
Page 62
... centre of the pyramid from the centres of the two parallel planes . The slant height is a line passing on the surface of the frustrum through the middle of either of its sides . D C E 6. A Wedge is a solid of five sides , 62 MENSURATION .
... centre of the pyramid from the centres of the two parallel planes . The slant height is a line passing on the surface of the frustrum through the middle of either of its sides . D C E 6. A Wedge is a solid of five sides , 62 MENSURATION .
Other editions - View all
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
12 feet 18 inches 20 feet 9 feet ABCD ABFD assumed cube avoirdupois axis base 26 breadth centre chord circle whose diameter Circular Sector circular segment circumfer circumference circumscribed contained convex surface Cube Root cubic feet 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 length miles multiply the sum Nonagon number of degrees number of sides number of square OPERATION parabola parallel sides parallelogram pentagonal pyramid perpendicular distance perpendicular height plane prism PROBLEM radius regular pentagonal regular Polygon Required the area Required the solidity rhombus right angled triangle Rule Rule.-I slant height solid contents sphere spherical segment spheroid square feet square rods square root square yards thickness 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.