Mathematics: Compiled from the Best Authors and Intended to be the Text-book of the Course of Private Lectures on These Sciences in the University at Cambridge, Volumen2Printed at the University Press, by WilliamHilliard, 1801 |
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Página 83
... altitude , and divide the product by triple the difference of their squares , for the area . EXAMPLES . 1. Required the area of the parabolic frustum ACFD , AC being 6 , DF 10 , and the altitude BE 4 . Ends . " * 10 6 Squares . 100 36 ...
... altitude , and divide the product by triple the difference of their squares , for the area . EXAMPLES . 1. Required the area of the parabolic frustum ACFD , AC being 6 , DF 10 , and the altitude BE 4 . Ends . " * 10 6 Squares . 100 36 ...
Página 84
... altitude 3 ? " Ans . 24 . I. To PROBLEM XXIII . To find the length of a hyperbolic curve . RULE . * 19 times the transverse add 21 times the parame ter of the axe , and multiply the sum by the quotient of the abscissa divided by the ...
... altitude 3 ? " Ans . 24 . I. To PROBLEM XXIII . To find the length of a hyperbolic curve . RULE . * 19 times the transverse add 21 times the parame ter of the axe , and multiply the sum by the quotient of the abscissa divided by the ...
Página 93
... altitude of a solid is a line , drawn from its vertex , or top , perpendicular to its base . This is equal to the axis in a right prism or pyramid ; but in an oblique one , the height is the perpendicular side of a right - angled ...
... altitude of a solid is a line , drawn from its vertex , or top , perpendicular to its base . This is equal to the axis in a right prism or pyramid ; but in an oblique one , the height is the perpendicular side of a right - angled ...
Página 98
... altitude , all continually together for the solid content ; that is , multi- ply the length by the breadth , and that product by the depth . EXAMPLES . * The reason of this rule , as well as of the following one for the solidity of the ...
... altitude , all continually together for the solid content ; that is , multi- ply the length by the breadth , and that product by the depth . EXAMPLES . * The reason of this rule , as well as of the following one for the solidity of the ...
Página 99
... altitude BD 12 feet . 1'75 BD 6 AB 10.50 25 AC 5250 2100 26.250 answer . D A. B 2. Required the content of a parallelopipedon , whose length is 105 , breadth 4.2 , and height 3'4 Ans . 149'94 . 3. How many cubic feet are in a block of ...
... altitude BD 12 feet . 1'75 BD 6 AB 10.50 25 AC 5250 2100 26.250 answer . D A. B 2. Required the content of a parallelopipedon , whose length is 105 , breadth 4.2 , and height 3'4 Ans . 149'94 . 3. How many cubic feet are in a block of ...
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Términos y frases comunes
abscisses ADBA altitude angle answer axes axis azimuth base breadth bung diameter cask centre chord circumference cone conjugate cosine course curve declination departure dial diff difference of latitude difference of longitude distance divided draw drawn ecliptic ellipse equal equinoctial EXAMPLES feet figure find the area find the solidity frustum given head diameter height Hence horizon hour angle hour lines hyperbola hypotenuse intersection latit measure meridian middle latitude miles multiply the sum NOTE oblique circle opposite ordinate parabola parallel of latitude parallel sailing parallelogram perpendicular plane sailing pole primitive PROBLEM PROBLEM projection proportion quadrant radius rectangle Required the area Required the content right ascension right line RULE secant segment side sphere spherical triangle spindle square star station stile subtract sun's tance tang tangent THEOREM transverse trapezium triangle ABC ullage wine gallons yards
Pasajes populares
Página 21 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Página 17 - To find the other side: — as the sum of the two given sides is to their difference, so is the tangent of half the sum of their opposite angles to the tangent of half their difference...
Página 83 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Página 328 - The conjugate to any diameter is the line drawn through the centre, and parallel to the tangent of the curve at the vertex of the diameter. So...
Página 28 - But if the hypothenuse be made radius -, then each leg "will represent the sine of its opposite angle ; namely, the leg AB the sine of the arc AE or angle c, and the leg BC the sine of the arc CD or angle A.
Página 83 - The axis of a solid is a line drawn from the middle of one end to the middle of the opposite end ; as between the opposite ends of a prism.
Página 83 - The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
Página 130 - Between these, in a right line, stands an ancient statue, the head whereof is 97 feet from the summit of the higher, and 86 feet from the top of the lower column, and the distance between the...
Página 205 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 38 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.