Hawney's Complete Measurer: Or, The Whole Art of Measuring: Being a Plain and Comprehensive Treatise on Practical Geometry and MensurationF. Lucas, Jr. J. Robinson, printer., 1820 - 312 σελίδες |
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Σελίδα ix
... zone of a sphere , · To find the convex surface of any segment or zone of a sphere , 12. To find the solidity of a spheroid , To find the solidity of the segment of a sphe- roid , To find the solidity of the middle zone of a spheroid ...
... zone of a sphere , · To find the convex surface of any segment or zone of a sphere , 12. To find the solidity of a spheroid , To find the solidity of the segment of a sphe- roid , To find the solidity of the middle zone of a spheroid ...
Σελίδα 179
... zone of a sphere , is equal to the curve surface of a cylinder , of the same height ; and whose diameter is equal to that of the sphere . For the zone formed by the revolution of FKMH about MH , is equal to the surface of the cylinder ...
... zone of a sphere , is equal to the curve surface of a cylinder , of the same height ; and whose diameter is equal to that of the sphere . For the zone formed by the revolution of FKMH about MH , is equal to the surface of the cylinder ...
Σελίδα 180
... Zone of a Sphere . Call the height of the greater segment H , and the height of the less h ; also R the radius of the greater base , and r that of the less than it is evident the dif- ference between the solidity of these two segments ...
... Zone of a Sphere . Call the height of the greater segment H , and the height of the less h ; also R the radius of the greater base , and r that of the less than it is evident the dif- ference between the solidity of these two segments ...
Σελίδα 181
... zone , and D the diameter of the sphere : then , by the prop- erty of the circle , D - H xH = R2 , and D - kh = 12 ... zone A G m a , then R2 · ab2 + bC3 = r2 + a2 ; 4 hence the lost theorem becomes r2 + 3a2 ; × a × 3.1416 = 4D2-4 ; XaX3 ...
... zone , and D the diameter of the sphere : then , by the prop- erty of the circle , D - H xH = R2 , and D - kh = 12 ... zone A G m a , then R2 · ab2 + bC3 = r2 + a2 ; 4 hence the lost theorem becomes r2 + 3a2 ; × a × 3.1416 = 4D2-4 ; XaX3 ...
Σελίδα 182
... is 4.5 ? Ans . 572.5566 . 5. The diameter of the base of a segment of a sphere is 28 , and the height of the segment 6.5 ; requir ed the solidity ? Ans . 2144.99285 . To find the Solidity of the Frustum , or Zone 182 Mensuration of Solids .
... is 4.5 ? Ans . 572.5566 . 5. The diameter of the base of a segment of a sphere is 28 , and the height of the segment 6.5 ; requir ed the solidity ? Ans . 2144.99285 . To find the Solidity of the Frustum , or Zone 182 Mensuration of Solids .
Άλλες εκδόσεις - Προβολή όλων
Hawney's Complete Measurer, Or, the Whole Art of Measuring: Being a Plain ... Thomas Keith,William Hawney,John D Craig Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 feet 9 inches acres add the square area seg breadth bung-diameter cask centre chord circle circular segment circum circumference cone cube root cylinder cyphers depth diameter divided divisor ellipsis EXAMPLES Extend the compasses extent will reach feet 6 inches feet 9 figure find the area find the Solidity foot frustum gauge-point girt given number greater base greater end head-diameter hence inches broad length less base less end malt bushels mean proportional measure multiplicand parabolic parallel parallelogram pendicular perpendicular height piece of timber places of decimals polygon PROBLEM pyramid quarter-girt quotient radius regular polygons Required the area Required the solidity resolvend rhombus right angles Scale and Compasses segment side slant height Sliding Rule solid content solid feet sphere spheroid square pyramid square root subtract superficial content Suppose surface thickness third trapezium triangle Triple square unit's place vulgar fraction whole numbers wine gallons yards
Δημοφιλή αποσπάσματα
Σελίδα 59 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 29 - Reduce the fraction to its lowest terms, then extract the square root of the numerator for a new numerator, and the square root of the denominator for a new denominator.
Σελίδα 80 - To find the area of a parallelogram (65), whether it be a square, a rectangle, a rhombus, or a rhomboid. RULE. — Multiply the length by the breadth, or perpendicular height, and the product will be the area.
Σελίδα 242 - Windows are sometimes measured by taking the dimensions of one pane, and multiplying its superficies by the number of panes.' But, more generally, they measure the length and breadth of the window over all the panes and their frames for the length and breadth of the glazing. Circular or oval windows, as fan lights...
Σελίδα 41 - ... 2. Multiply each term in the multiplicand, beginning at the lowest, by the feet in the multiplier, and write...
Σελίδα 101 - Or, to take a case yet stronger, when it is affirmed, that " the area of a circle is equal to that of a triangle having the circumference for its base, and the radius for its altitude...
Σελίδα 165 - RULE. To twice the length of the base, add the length of the edge, multiply the sum by the breadth of the base, and this product by the perpendicular height of the wedge ; and | of the last product will be the solidity.
Σελίδα 89 - To the square of the base add the square of the perpendicular ; and the square root of the sum will give the hypothenuse (Prop.
Σελίδα 103 - As 7 is to 22, so is the diameter to the circumference; or, as 22 is to 7, so is the circumference to the diameter.
Σελίδα 105 - ... multiply the square of the diameter by ,7854 and the product will be- the area.