 AG into any even number of equal parts, and draw the corresponding ordinates; take the sum of the extreme ordinates, four times the sum of the even ordinates, and twice the sum of the odd ordinates...  Workshop Mathematics - Page 51by Frank Castle - 1900Full view - About this book
 | Industrial arts - 1827 - 600 pages
...mathematicians for this purpose is as follows : — To the sum of the first and last ordinale, add four times the sum of the even ordinates, and twice the sum of the uneven, which being divided by three, and multiplied by the common distance between each ordinale,... | |
 | Industrial arts - 1830 - 522 pages
...may be deduced the following, PERPETUAL MOTION. Rule. — To the sum of the extreme ordinates, add 4 times the sum of the even ordinates, and twice the sum of the remaining odd ordinates, and the sum multiplied by £ of the common distance will he the area required.... | |
 | Mathematics - 1836 - 366 pages
...between the extreme ordinates may be found approximately by adding the first and last ordinates to four times the sum of the even ordinates, and twice the sum of the odd ones, and multiplying by £ their common distance. 1836 45. Find the equation to a straight line drawn... | |
 | Industrial arts - 1844 - 490 pages
...the third of the common distance, multiplied by the sum of the following quantities, viz , the sum of the extreme ordinates, four times the sum of the even...ordinates, and twice the sum of the odd ordinates. Proof. Take cm=cq=$ac, and abn pfe= abnm + mnpq extensive utility, than Thomas Simpson's formula for... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 476 pages
...any portion of a curve, by means of equidistant ordinates. To the sum of the extreme ordinates, add four times the sum of the even ordinates, and twice the sum of the odd ones ; multiply this sum by one-third of the constant distance between the ordinates, and the product... | |
 | John Francis Twisden - 1860 - 380 pages
...— Divide AG into any number of equal parts, and draw the corresponding ordinates ; take the sum of the extreme ordinates, four times the sum of the even...ordinates, and twice the sum of the odd ordinates, add them together, and multiply the sum by one of the parts of the abscissa ; the product will be three... | |
 | Stephen Fenwick - 1861 - 272 pages
...a number of equidistant ordinates of a curvilinear figure, to the sum of the extreme ordinates, add four times the sum of the even ordinates, and twice the sum of the odd ones ; multiply the sum of all these by onethird of the distance between two ordinates, and the product... | |
 | John Francis Twisden - 1863 - 390 pages
...Divide AG into any even number of equal parts, and draw the corresponding ordinates; take the sum of the extreme ordinates, four times the sum of the even...ordinates, and twice the sum of the odd ordinates (ie, excepting the first and last), add them together, and multiply the sum by one of the parts of... | |
 | John Francis Twisden - Mechanics - 1868 - 364 pages
...viz.—Divide AG into any even number of equal parts, and draw the corresponding ordinates; take the sum of the extreme ordinates, four times the sum of the even...ordinates, and twice the sum of the odd ordinates (ie excepting the first and last), add them together, and multiply the sum by one of the parts of the... | |
 | Henry Evers - Steam - 1873 - 426 pages
...steam pressures. To find their sum we have — Simpson-s Jtuk: To the sum of the extreme ordinates add four times the sum of the even ordinates and twice the sum of the odd ordinates. This sum, multiplied by one-third the common distance between the ordinates, will give the area (of... | |
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