A Course of Mathematics ...: Designed for the Use of the Officers and Cadets of the Royal Military College, Volume 1C. Glendinning, 1807 - Mathematics |
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Page 25
... , ( or of a penny ) , and the respective products of 3 fraction will beof ( 3 X 1 the numerators , and the denominators give ог - the simple fraction . 4 X 12 VOL . I. I 48 .5 7 3 Or more generally thus : let of VULGAR FRACTIONS . 25.
... , ( or of a penny ) , and the respective products of 3 fraction will beof ( 3 X 1 the numerators , and the denominators give ог - the simple fraction . 4 X 12 VOL . I. I 48 .5 7 3 Or more generally thus : let of VULGAR FRACTIONS . 25.
Page 26
... respectively equal to the fractions and Next , taking and , and multiplying the terms of the former frac 15 21 tion by 11 , and those of the latter by 21 , we get = 15 X 11 15 21 x 11 21 ' and 1 x 21 IT X 21 = Therefore the fractions 15 ...
... respectively equal to the fractions and Next , taking and , and multiplying the terms of the former frac 15 21 tion by 11 , and those of the latter by 21 , we get = 15 X 11 15 21 x 11 21 ' and 1 x 21 IT X 21 = Therefore the fractions 15 ...
Page 27
... X 6 and 9 ; therefore if 6 in the first and third fractions , and 6 , 4 and 9 in now 2 , and 3 , are the respective divisors of 4 and 6 , and the second , are resolved into the factors 2 and E 2 VULGAR FRACTIONS . 27.
... X 6 and 9 ; therefore if 6 in the first and third fractions , and 6 , 4 and 9 in now 2 , and 3 , are the respective divisors of 4 and 6 , and the second , are resolved into the factors 2 and E 2 VULGAR FRACTIONS . 27.
Page 34
... respective terms of the divisor , if they will exactly divide ; but if not , then in- vert the divisor and procced as in multiplication . When the terms exactly divide , the truth of the 34 ARITHMETIC . Division of Vulgar Fractions.
... respective terms of the divisor , if they will exactly divide ; but if not , then in- vert the divisor and procced as in multiplication . When the terms exactly divide , the truth of the 34 ARITHMETIC . Division of Vulgar Fractions.
Page 41
... respective multiplications must begin . * 5849 62.7 4094 117 35 4246 Here 6 is carried to 7 times 4 , because 7 times 9 ( the figure omitted ) is 63 ; -1 is carried to 2 times 8 , because twice 4 ( the figure on the right of 8 ) exceeds ...
... respective multiplications must begin . * 5849 62.7 4094 117 35 4246 Here 6 is carried to 7 times 4 , because 7 times 9 ( the figure omitted ) is 63 ; -1 is carried to 2 times 8 , because twice 4 ( the figure on the right of 8 ) exceeds ...
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