An Introduction to Mensuration and Practical GeometryKimber & Sharpless, 1829 - 252 pages |
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Page 66
... double the number of places , by the late inge- nious Mr. Abraham Sharp , of Little Horton , near Bedford , in York- shire . But since the invention of Fluxions , and the Summation of Infi- nite Series , there have been several methods ...
... double the number of places , by the late inge- nious Mr. Abraham Sharp , of Little Horton , near Bedford , in York- shire . But since the invention of Fluxions , and the Summation of Infi- nite Series , there have been several methods ...
Page 101
... double ordinate parallel to the conjugate axe , at the dis- tance of 36 from the centre , the axes being 120 and 40 ? Ans . 536.7504 . 3. What is the area of a segment cut off by an ordinate parallel to the transverse diameter , whose ...
... double ordinate parallel to the conjugate axe , at the dis- tance of 36 from the centre , the axes being 120 and 40 ? Ans . 536.7504 . 3. What is the area of a segment cut off by an ordinate parallel to the transverse diameter , whose ...
Page 102
... double ordinates SrS , & c . of an indefinite length . * Since Vmn is a right - angled triangle , and mR is perpendicular to vn , VXRRN VRX VF = Rm2 = RS2 , which is a known property of the parabola when F is the focus . And , because ...
... double ordinates SrS , & c . of an indefinite length . * Since Vmn is a right - angled triangle , and mR is perpendicular to vn , VXRRN VRX VF = Rm2 = RS2 , which is a known property of the parabola when F is the focus . And , because ...
Page 104
... double ordinate . RULE . * To the square of the ordinate add of the square of the abscissa , and twice the square root of the sum will be the length of the curve required . * Demon . Let x = any abscissa , y = its ordinate , a = the ...
... double ordinate . RULE . * To the square of the ordinate add of the square of the abscissa , and twice the square root of the sum will be the length of the curve required . * Demon . Let x = any abscissa , y = its ordinate , a = the ...
Page 106
... double ordinate GK 16 ? V G H K 16 × 12 × 2 = 16 × 4 × 2 = 3 * Here 16 ( GK ) × 12 ( VH ) × 3 = 128 = area required . 1. The abscissa is 12 , and the double ordinate or base 38 ; what is the area ? Ans . 304 . 3. What is the area of a ...
... double ordinate GK 16 ? V G H K 16 × 12 × 2 = 16 × 4 × 2 = 3 * Here 16 ( GK ) × 12 ( VH ) × 3 = 128 = area required . 1. The abscissa is 12 , and the double ordinate or base 38 ; what is the area ? Ans . 304 . 3. What is the area of a ...
Common terms and phrases
9 inches ABCD adba altitude arch axis base Bisect breadth bung cask centre chord of half circle whose diameter circular circular segment circumference cone CONIC SECTIONS conjugate diameter convex surface cube curve cylinder Demon describe arcs cutting describe the arc diagonal distance divided draw the line ellipse equal EXAMPLES feet 6 inches feet 9 figure find the area find the solidity fluxion foot girt give the solidity given line greater end half the arc hexagon hyperbola hypothenuse length less abscissa less end linear side measure multiply the sum ordinate parabola parallel pentagon perpendicular PROBLEM prolate spheroid pyramid quotient radius rectangle regular polygon Required the area Required the solidity rhombus right line roof segment semicircle sine of half slant height SLIDING RULE solid content solidity required specific gravity sphere spheroid square root thickness transverse diameter trapezium ullage versed sine Whence wine gallons yard
Popular passages
Page ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Page 50 - The areas of circles are to each other as the squares of their diameters.
Page 19 - Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet.
Page 125 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.
Page 21 - 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.
Page 56 - Multiply the half sum and the three remainders continually together, and the square root of the product will be the area...
Page 54 - To find the area of a rectangular board, whose length is 12-^ feet, and breadth 9 inches. Ans. 9f feet.
Page 96 - As the conjugate diameter is to the transverse, So is the square root of the difference of the squares of the ordinate and semi-conjugate, To the distance between the ordinate and centre.
Page 16 - A sector is any part of a circle bounded by an arc, and two radii drawn to its extremities. A quadrant, or quarter of a circle...
Page 54 - To find the Area of a Triangle. Rule ] . Multiply the base by the perpendicular height, and half the product will be the area.