A Complete System of Mensuration ...1851 |
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Página 24
... cosine , coversed sine , cotangent , and cosecant of the arc or angle . Thus BH or CG is the cosine of AB or ACB , DH is its coversed sine , DK its cotangent , and CK its cosecant . Cor . 1. The cosine CG , together with the versed sine ...
... cosine , coversed sine , cotangent , and cosecant of the arc or angle . Thus BH or CG is the cosine of AB or ACB , DH is its coversed sine , DK its cotangent , and CK its cosecant . Cor . 1. The cosine CG , together with the versed sine ...
Página 25
... cosine of an arc is a mean proportional between the sum and the difference of the radius and the sine , or between the coversed sine and the sum of the radius and Cos.2 2 1 + sin . ' sine ; hence cov . = Cos . 2 R + sin . = if radius 1 ...
... cosine of an arc is a mean proportional between the sum and the difference of the radius and the sine , or between the coversed sine and the sum of the radius and Cos.2 2 1 + sin . ' sine ; hence cov . = Cos . 2 R + sin . = if radius 1 ...
Página 26
... cosine remaining as in the second quadrant , they are therefore both negative . And , in the fourth quadrant , the sine still lying below the diameter is negative , while the cosine having resumed its ori- ginal position in regard to ...
... cosine remaining as in the second quadrant , they are therefore both negative . And , in the fourth quadrant , the sine still lying below the diameter is negative , while the cosine having resumed its ori- ginal position in regard to ...
Página 27
... cosine 0-08715574 the sine of 5 degrees . 1.00000000 - - 1 x 2 +224 = -0.00380771 +0.00000241 ..Collecting , cos . x = 0.99619470 the cosine of 5 degrees . This method may be employed for the sines and cosines at the beginning and end ...
... cosine 0-08715574 the sine of 5 degrees . 1.00000000 - - 1 x 2 +224 = -0.00380771 +0.00000241 ..Collecting , cos . x = 0.99619470 the cosine of 5 degrees . This method may be employed for the sines and cosines at the beginning and end ...
Página 28
... cosine from 20 , and the log . cosecant is found by subtracting the log . sine from 20 . 3. Required the nat . sine of 57 ° 26 ′ 20 ′′ . 4 . · 5 . · • • log . cosine of 67 ° 31 ′ 40 ′′ . log . secant of 73 ° 27 ′ 45 ′′ . 6. Nat . cosine ...
... cosine from 20 , and the log . cosecant is found by subtracting the log . sine from 20 . 3. Required the nat . sine of 57 ° 26 ′ 20 ′′ . 4 . · 5 . · • • log . cosine of 67 ° 31 ′ 40 ′′ . log . secant of 73 ° 27 ′ 45 ′′ . 6. Nat . cosine ...
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Términos y frases comunes
18 feet 18 inches 20 feet 9 inches ABCD acres arch arithm axis base base 36 bound breadth central distance centre chord circle circular circumference cosine cubic feet cubic inches curve cylinder diagonal divided double measure draw EDINBURGH ACADEMY ellipse equal feet 6 inches feet long find the area find the solid fleur-de-lis frustum Geom girt given gonal greatest diameter half the sum hyperbola hypotenuse inches broad logarithm mouldings multiply NOTE parabola parallel pentagonal pyramid perches perpendicular perpendicular height poles polygon PROB pyramid quotient radius Required the area Required the content Required the solid Required the surface right angle roods RULE segment side-walls sides solid content spheroid spindle square feet square foot square yard station straight line subtract taken tangent THEODOLITE thickness triangle ABC versed sine
Pasajes populares
Página 74 - To twice the length of the base add the length of the edge ; multiply the sum by the breadth of the base, and by one-sixth of the height.
Página 188 - I would have a square foot cut off parallel to the shorter edge ; I would then have the like quantity divided from the remainder parallel to the longer side...
Página 57 - So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Página 64 - 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 12 - Quadrilateral ; of five sides a Pentagon ; of six sides a Hexagon ; of seven sides a Heptagon ; of eight sides an Octagon ; of nine sides a Nonagon ; of ten sides a Decagon ; of twelve sides a Dodecagon.
Página 71 - To find the solidity of a cone. RULE. Multiply the area of the base by the perpendicular height, and ^ of the product will be the solidity.
Página 36 - Art. 191. THE area or surface of a figure is the number of square inches, feet, yards, &c., which it contains. A square constructed upon a straight line, of which the length is an inch, is called a square inch; and the same is to be understood of a square foot, &c. This is called the measuring unit, and the area of any figure is the number of times it contains the measuring unit. Art. 192. To FIND THE AREA OF A TRIANGLE.
Página 144 - To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.
Página 33 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 88 - A SPHEROID is a solid, generated by the revolution of an ellipse about one of its diameters. If the ellipse revolves about its longer or...