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, Τόμος 2Printed at the University Press, by WilliamHilliard, 1801 |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 30
... height , that is , equal to the length multiplied by the height , which is the 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 ...
... height , that is , equal to the length multiplied by the height , which is the 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 ...
Σελίδα 32
... height 5'45 . 5.45 6:20 10900 3270 5.45 . Ans . 33 7900 square chains . 6.20 4. To find the area of the rhomboid , whose length is 12 feet 3 inches , and breadth 5 feet 4 inches . ft . in . 12 3 5 4 613 4 I 65 4 Answer 65+ square feet ...
... height 5'45 . 5.45 6:20 10900 3270 5.45 . Ans . 33 7900 square chains . 6.20 4. To find the area of the rhomboid , whose length is 12 feet 3 inches , and breadth 5 feet 4 inches . ft . in . 12 3 5 4 613 4 I 65 4 Answer 65+ square feet ...
Σελίδα 33
... 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 side separately ; multiply the half sum and the three ...
... 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 side separately ; multiply the half sum and the three ...
Σελίδα 34
... DEMONSTRATION . This follows from Rule 2 , mentioned in the note under Prob . I. for a triangle is half of a parallelogram of the same base and height . EXAMPLES . 1. Required the area of the triangle , 34 MENSURATION OF SUPERFICIES ,
... DEMONSTRATION . This follows from Rule 2 , mentioned in the note under Prob . I. for a triangle is half of a parallelogram of the same base and height . EXAMPLES . 1. Required the area of the triangle , 34 MENSURATION OF SUPERFICIES ,
Σελίδα 35
... height 5'20 chains . 6.25 5'20 12500 3125 2 ) 32 ° 5000 16.25 square chains , the answer . 2. To find the number of square yards in the triangle , whose three sides are 13 , 14 , 15 feet . 13 14 15 2 ) 42 sum 21 21 21 21 13 14 15 16 23 ...
... height 5'20 chains . 6.25 5'20 12500 3125 2 ) 32 ° 5000 16.25 square chains , the answer . 2. To find the number of square yards in the triangle , whose three sides are 13 , 14 , 15 feet . 13 14 15 2 ) 42 sum 21 21 21 21 13 14 15 16 23 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 83 - The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
Σελίδα 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...
Σελίδα 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.
Σελίδα 38 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.