A Practical System of Mensuration of Superficies and Solids ... |
From inside the book
Results 1-5 of 14
Page vi
... nearly completed , to find that the views which guided me in its execution har- monized with the opinions of others distinguished as mathe- maticians and experienced as teachers . The author has aimed to present this treatise in the ...
... nearly completed , to find that the views which guided me in its execution har- monized with the opinions of others distinguished as mathe- maticians and experienced as teachers . The author has aimed to present this treatise in the ...
Page xii
... reckoned for a quarter , making 112 pounds to the hundred , but the law and practice have made it nearly obsolete . TROY WEIGHT . By this weight are weighed Gold , xii , WEIGHTS AND MEASURES . Tables of Weights and Measures, 9-15.
... reckoned for a quarter , making 112 pounds to the hundred , but the law and practice have made it nearly obsolete . TROY WEIGHT . By this weight are weighed Gold , xii , WEIGHTS AND MEASURES . Tables of Weights and Measures, 9-15.
Page xiii
... nearly more . The Winchester bushel ( so called because the standard measure was kept at Winchester ) is 18 inches diameter , and 8 inches deep . But if the corr . gallon con- tains only 268.8 cubic inches , the measure will be as ...
... nearly more . The Winchester bushel ( so called because the standard measure was kept at Winchester ) is 18 inches diameter , and 8 inches deep . But if the corr . gallon con- tains only 268.8 cubic inches , the measure will be as ...
Page 42
... nearly half their sum , which is 6.2831858 . Hence , the circumference being 6,2831858 , when the diameter is 2 , it will be the half of that , or 3,1415928 , when it is 1 ; to which the ratio , in the Rule , viz : 1 to 3,14159 very nearly ...
... nearly half their sum , which is 6.2831858 . Hence , the circumference being 6,2831858 , when the diameter is 2 , it will be the half of that , or 3,1415928 , when it is 1 ; to which the ratio , in the Rule , viz : 1 to 3,14159 very nearly ...
Page 44
... into the circumference . Now , we have just seen , ( Art . 18 , ) that if the diameter be 1 , the circumference will be 3.14159 , and one fourth of 45 this is 0.7854 , nearly . Consequently , the 44 MENSURATION Area of a Circle, 44-47.
... into the circumference . Now , we have just seen , ( Art . 18 , ) that if the diameter be 1 , the circumference will be 3.14159 , and one fourth of 45 this is 0.7854 , nearly . Consequently , the 44 MENSURATION Area of a Circle, 44-47.
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.