A Course of Mathematics ...: Designed for the Use of the Officers and Cadets of the Royal Military College, Volume 1C. Glendinning, 1807 - Mathematics |
From inside the book
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Page 13
... divisor.And the number of times the latter is contained in the former is called the quotient . Dividend . Divisor 2 ) 10 ( 5 Quotient . 24. To perform Division . Find how often the divisor is con- tained in as many of the left hand ...
... divisor.And the number of times the latter is contained in the former is called the quotient . Dividend . Divisor 2 ) 10 ( 5 Quotient . 24. To perform Division . Find how often the divisor is con- tained in as many of the left hand ...
Page 14
... divisor is contained in the remainder so increased , for the second figure of the quotient , but if it be o times , put a cipher , and bring down another figure ; then pro- ceed as before till all the figures are brought down . Examp ...
... divisor is contained in the remainder so increased , for the second figure of the quotient , but if it be o times , put a cipher , and bring down another figure ; then pro- ceed as before till all the figures are brought down . Examp ...
Page 15
... divisor 9 , the remainder 4 added to the product , the sum is the dividend , as in the proof . When the divisor however , is only one figure , it is usual to perform the subtraction mentally and set down the quotient under the dividend ...
... divisor 9 , the remainder 4 added to the product , the sum is the dividend , as in the proof . When the divisor however , is only one figure , it is usual to perform the subtraction mentally and set down the quotient under the dividend ...
Page 16
... divisor ( 211 ) is contained in the numbers of the several steps of the operation , first enquire how many times 2 ( the left figure of the divisor ) is contained in 6 ( the left figure of the dividend ) ; this gives 3 for the first ...
... divisor ( 211 ) is contained in the numbers of the several steps of the operation , first enquire how many times 2 ( the left figure of the divisor ) is contained in 6 ( the left figure of the dividend ) ; this gives 3 for the first ...
Page 17
... divisor is a number with ciphers on the right , cut them off , and also the like number of figures from the right of the dividend , then divide the remainder of the dividend by that of the divisor in the usual manner , and bring down ...
... divisor is a number with ciphers on the right , cut them off , and also the like number of figures from the right of the dividend , then divide the remainder of the dividend by that of the divisor in the usual manner , and bring down ...
Common terms and phrases
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
Popular passages
Page 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...
Page 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.
Page 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.
Page 180 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Page 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.
Page 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.
Page 334 - To find the area of a triangle. RULE.* Multiply the base by the perpendicular height, and half the product will be the area.
Page 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.
Page 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.
Page 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