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 102
... cube of 2 . 16 is the 4th power or biquadrate . 32 is the 5th power or sursolid . & c . Roots 1 2 3 Squares 1 4 9 16 Cubes I 8 27 4 64 5 6 ช 8 9 25 36 49 64 81 125 216 343 512 729 111. The power to which a number is to be raised is ...
... cube of 2 . 16 is the 4th power or biquadrate . 32 is the 5th power or sursolid . & c . Roots 1 2 3 Squares 1 4 9 16 Cubes I 8 27 4 64 5 6 ช 8 9 25 36 49 64 81 125 216 343 512 729 111. The power to which a number is to be raised is ...
Página 103
... cube ; therefore 4 × 832 the 5th power . Hence 2 × 2325 ; consequently the addition of the in- dices 2 and 3 answer to the multiplication of powers ; viz . 22 × 23 = 22+ 3 . Also 33 x 34 37. For 33 is 27 ; and 34 is 81 ; and 27 × 81 is ...
... cube ; therefore 4 × 832 the 5th power . Hence 2 × 2325 ; consequently the addition of the in- dices 2 and 3 answer to the multiplication of powers ; viz . 22 × 23 = 22+ 3 . Also 33 x 34 37. For 33 is 27 ; and 34 is 81 ; and 27 × 81 is ...
Página 104
... cube root of tract the SQUARE ROOT . Rule . Begin at the units place and point the number into periods of two figures each . Find the greatest square in the first period on the left hand and set its root on the right of the given number ...
... cube root of tract the SQUARE ROOT . Rule . Begin at the units place and point the number into periods of two figures each . Find the greatest square in the first period on the left hand and set its root on the right of the given number ...
Página 108
... CUBE ROOT . 117. Rule . Point the number into periods of three figures each ( beginning at the units ) and find the greatest cube in the first period on the left hand , and set its root in the quotient for the first figure of the ...
... CUBE ROOT . 117. Rule . Point the number into periods of three figures each ( beginning at the units ) and find the greatest cube in the first period on the left hand , and set its root in the quotient for the first figure of the ...
Página 109
... cube root of 4973940-243 . 4973940-243 ( 170-7 rcot . 1 divisor 12 300 300 ) 3973 ( 7 divisor 172 x 300 divisor 170 x 300 4973 two first periods , 173 4913 .... 86700 ) 60940 ( 0 8670000 ) 60940243 ( 7 4973940243 four periods ...
... cube root of 4973940-243 . 4973940-243 ( 170-7 rcot . 1 divisor 12 300 300 ) 3973 ( 7 divisor 172 x 300 divisor 170 x 300 4973 two first periods , 173 4913 .... 86700 ) 60940 ( 0 8670000 ) 60940243 ( 7 4973940243 four periods ...
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