A Course of Mathematics ...: Designed for the Use of the Officers and Cadets of the Royal Military College, Volumen1C. Glendinning, 1807 |
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Página 272
... , and PCB an angle , its measure be- R D W CA ing the arc OB ( 64 , 144 ) . Draw the chord OS and BG perpendicular to the radius CB ; and OD , RP perpendicular to the radius CR . Then , AO is the Sine AC or OD the [ 272 ]
... , and PCB an angle , its measure be- R D W CA ing the arc OB ( 64 , 144 ) . Draw the chord OS and BG perpendicular to the radius CB ; and OD , RP perpendicular to the radius CR . Then , AO is the Sine AC or OD the [ 272 ]
Página 273
... Sine AC or OD the Cosine BG the Tangent of the arc OB , RP the Cotangent or angle PCB . CG the Secant CP the Cosecant 199. The Cosine , Cotangent , & c are the Sine , Tangent , & c . of the complement of the angle PCB to 90 degrees , or ...
... Sine AC or OD the Cosine BG the Tangent of the arc OB , RP the Cotangent or angle PCB . CG the Secant CP the Cosecant 199. The Cosine , Cotangent , & c are the Sine , Tangent , & c . of the complement of the angle PCB to 90 degrees , or ...
Página 274
... sine radius tangent . And , CA : CO : CB : CG . Therefore the radius is a mean proportional between the cosine and secant of an angle . And BG BC :: CR : RP . Hence the radius is also a mean proportional between the tangent and ...
... sine radius tangent . And , CA : CO : CB : CG . Therefore the radius is a mean proportional between the cosine and secant of an angle . And BG BC :: CR : RP . Hence the radius is also a mean proportional between the tangent and ...
Página 275
... sine of 30 or the angle GCP or BCP . And if CO be drawn to bisect the chord BP , R OP will be the sine of 15 ° the angle PCO , & c . R P D B If the radius CB or CG is 1 , then GD is 05 the sine of 30 ° and the cosine CD is equal to the ...
... sine of 30 or the angle GCP or BCP . And if CO be drawn to bisect the chord BP , R OP will be the sine of 15 ° the angle PCO , & c . R P D B If the radius CB or CG is 1 , then GD is 05 the sine of 30 ° and the cosine CD is equal to the ...
Página 277
... sine of 1 ' . And the cosine is 0.9999999577 the square root of the dif- ference of the squares of the radius 1 , and the sine . 209. The sine and cosine of 1 ' being given , the sine of g will be equal to twice the product of that sine ...
... sine of 1 ' . And the cosine is 0.9999999577 the square root of the dif- ference of the squares of the radius 1 , and the sine . 209. The sine and cosine of 1 ' being given , the sine of g will be equal to twice the product of that sine ...
Términos y frases comunes
angle ACB arith arithmetical arithmetical mean base battalions bisect breadth centre chord ciphers circle circumference consequently corol cosine cube root cubic decimal defilé diameter diff difference distance ditch divided dividend division divisor example farthings feet figure frustum give given line half the arc half the perimeter height Hence horizontal improper fraction inches integer intersection isosceles least common multiple length logarithm mean proportional measure miles mixt number multiplied nearly number of terms opposite angles paces parallel parallelogram perpendicular plane polygon prism pyramid quadrilateral quotient radius ratio rectangle Reduce remainder rhombus right angles right line right-angled triangle scale of equal segment shillings sides similar sine square root subtracted Suppose tangent Theodolite toises VULGAR FRACTIONS whole number yards
Pasajes populares
Página 100 - Multiply the whole augmented divisor by this last quotient figure, and subtract the product from the said dividend, bringing down to the next period of the given number, for a new dividend. Repeat the same process over again — viz. find another new divisor, by doubling all the figures now...
Página 95 - If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.
Página 220 - A solid angle is that which is made by the meeting of more than two plane angles, which are not in the same plane, in one point. X. ' The tenth definition is omitted for reasons given in the notes.
Página 180 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Página 114 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Página 189 - A sector, is any part of a circle bounded by an arc, and two radii, drawn to its extremities. A quadrant, or quarter of a circle, is a sector having a quarter part of the circumference for its arc, and the two radii perpendicular to each other.
Página 334 - To find the area of a triangle. RULE.* Multiply the base by the perpendicular height, and half the product will be the area.
Página 165 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Página 211 - If there be any number of proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Página 207 - Similar rectilineal figures are those which have their several angles equal, each to each, and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles and parallelograms, " are such as have their sides about two of their " angles proportionals in such a manner, that a side