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, Band 2Printed at the University Press, by WilliamHilliard, 1801 |
Im Buch
Ergebnisse 1-5 von 100
Seite 11
... rule , resolve it like all other pro- portions , in which a fourth term is to be found from three given terms , by multiplying the second and third together , and dividing the product by the first , in working with the natural natural ...
... rule , resolve it like all other pro- portions , in which a fourth term is to be found from three given terms , by multiplying the second and third together , and dividing the product by the first , in working with the natural natural ...
Seite 18
... rule , from their sum and difference , may be proved thus . Let CN represent the less and NL the greater of any two quantities ; and let B be the middle of the right line CL . Then it is evident , that BLBC is the half sum , and BN the ...
... rule , from their sum and difference , may be proved thus . Let CN represent the less and NL the greater of any two quantities ; and let B be the middle of the right line CL . Then it is evident , that BLBC is the half sum , and BN the ...
Seite 30
... rule . And since a rectangle is equal to an oblique parallelogram standing upon the same base , and between the same parallels ; ( Euc . I. 35 ) therefore the rule is true for any parallelogram in . general . Q. E. D. RULE EXAMPLES . 1 ...
... rule . And since a rectangle is equal to an oblique parallelogram standing upon the same base , and between the same parallels ; ( Euc . I. 35 ) therefore the rule is true for any parallelogram in . general . Q. E. D. RULE EXAMPLES . 1 ...
Seite 31
... RULE 2. If any two sides of a parallelogram be multiphed together , and the product again by the natural sine of their in- cluded angle , the last product will give the area of the par allelogram . DEMONSTRATION . For having drawn the ...
... RULE 2. If any two sides of a parallelogram be multiphed together , and the product again by the natural sine of their in- cluded angle , the last product will give the area of the par allelogram . DEMONSTRATION . For having drawn the ...
Seite 33
... RULE I. *** Multiply the base by the perpendicular height , and half the product will be the area . RULE 2 . When the three sides only are given add the three sides together , and take half the sum ; from the half sum sub- tract each ...
... RULE I. *** Multiply the base by the perpendicular height , and half the product will be the area . RULE 2 . When the three sides only are given add the three sides together , and take half the sum ; from the half sum sub- tract each ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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...
Seite 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.
Seite 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...
Seite 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.
Seite 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.
Seite 83 - The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
Seite 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...
Seite 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.
Seite 38 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.