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, Volum 2Printed at the University Press, by WilliamHilliard, 1801 |
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Side 40
... four sides together , and take half the sum , and subtract each side separately from the half sum ; then multiply * DEMONSTRATION . BEX DF The area of the triangle BDE is = BEXAC ; and the area of the triangle BAE is = 2 2 and therefore ...
... four sides together , and take half the sum , and subtract each side separately from the half sum ; then multiply * DEMONSTRATION . BEX DF The area of the triangle BDE is = BEXAC ; and the area of the triangle BAE is = 2 2 and therefore ...
Side 41
... four remainders continually together , and the square root of the last product will be the area of the tra pezium . EXAMPLES . In order to facilitate the demonstration of the rule , it is thought expedient to premise the following LEMMA ...
... four remainders continually together , and the square root of the last product will be the area of the tra pezium . EXAMPLES . In order to facilitate the demonstration of the rule , it is thought expedient to premise the following LEMMA ...
Side 42
... four sides . QE . D. * Parenthesis is sometimes used for a vinculum . COR . I. The expression marked is a very pretty theorem , and may be useful on many occasions . COR . 2. In the trapezium ABDE , the side BD is 42 MENSURATION OF ...
... four sides . QE . D. * Parenthesis is sometimes used for a vinculum . COR . I. The expression marked is a very pretty theorem , and may be useful on many occasions . COR . 2. In the trapezium ABDE , the side BD is 42 MENSURATION OF ...
Side 44
... four sides 24 , 26 , 28 , 30 ; required its area . 24 26 28 39 2 ) 108 54 54 54 54 half sum . 24 26 28 30 30 28 26 24 1 . 8886 28 24 840 104 52 624 840 24969 4992 524160 ( 7239889488 the answer . 4. How many square yards of paving are ...
... four sides 24 , 26 , 28 , 30 ; required its area . 24 26 28 39 2 ) 108 54 54 54 54 half sum . 24 26 28 30 30 28 26 24 1 . 8886 28 24 840 104 52 624 840 24969 4992 524160 ( 7239889488 the answer . 4. How many square yards of paving are ...
Side 45
... four sides being 12 , 13 , 14 , 15 ? Ans . 180 9972372 . PROBLEM VI , To find the area of an irregular polygon , RULE , Draw diagonals , dividing the figure into trapeziums and triangles . Then find the areas of all these separately ...
... four sides being 12 , 13 , 14 , 15 ? Ans . 180 9972372 . PROBLEM VI , To find the area of an irregular polygon , RULE , Draw diagonals , dividing the figure into trapeziums and triangles . Then find the areas of all these separately ...
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Mathematics: Compiled from the Best Authors and Intended to be the Text-book ... Samuel Webber Uten tilgangsbegrensning - 1801 |
Mathematics: Compiled from the Best Authors, and Intended to be the ..., Volum 2 Uten tilgangsbegrensning - 1808 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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...
Side 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.
Side 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...
Side 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.
Side 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.
Side 83 - The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
Side 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...
Side 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.
Side 38 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.