A Course of Mathematics ...: Designed for the Use of the Officers and Cadets of the Royal Military College, Τόμος 1C. Glendinning, 1807 |
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Σελίδα
... And to complete , or rather to render the Trigonometry independent , a table of logarithms sufficiently extensive for common practice is subjoined . The subjects which compose this volume have so frequently been iv PREFACE .
... And to complete , or rather to render the Trigonometry independent , a table of logarithms sufficiently extensive for common practice is subjoined . The subjects which compose this volume have so frequently been iv PREFACE .
Σελίδα
... LOGARITHMS Explanation of the Table of Logarithms Multiplication by Logarithms Division by Logarithms To work Proportions by Logarithms Involution by Logarithms Extraction of Roots by Logarithms GEOMETRY . Definitions Axioms ...
... LOGARITHMS Explanation of the Table of Logarithms Multiplication by Logarithms Division by Logarithms To work Proportions by Logarithms Involution by Logarithms Extraction of Roots by Logarithms GEOMETRY . Definitions Axioms ...
Σελίδα 98
... Logarithms . OF POSITION . 108. POSITION or the Rule of False is a method of solving questions by means of assumed or false numbers ; and is of two kinds , single , and double . Questions which require but one assumption , or where the ...
... Logarithms . OF POSITION . 108. POSITION or the Rule of False is a method of solving questions by means of assumed or false numbers ; and is of two kinds , single , and double . Questions which require but one assumption , or where the ...
Σελίδα 159
... LOGARITHMS , 154. LOGARITHMS are a set of numbers so contrived , that the products in multiplication , and the quotients in division , are obtained by means of addition and subtraction only . 155. Or , Logarithms are a series of numbers ...
... LOGARITHMS , 154. LOGARITHMS are a set of numbers so contrived , that the products in multiplication , and the quotients in division , are obtained by means of addition and subtraction only . 155. Or , Logarithms are a series of numbers ...
Σελίδα 160
... logarithm answering to 32 . ( 111. ) And the product of 4 and 8 ( the terms corresponding to 2 and 3 ) make 32 . Again , the difference of the indices or logarithms 7 and 4 is 3 , the index or logarithm of the term or number 8 . And the ...
... logarithm answering to 32 . ( 111. ) And the product of 4 and 8 ( the terms corresponding to 2 and 3 ) make 32 . Again , the difference of the indices or logarithms 7 and 4 is 3 , the index or logarithm of the term or number 8 . And the ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 180 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Σελίδα 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.
Σελίδα 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.
Σελίδα 334 - To find the area of a triangle. RULE.* Multiply the base by the perpendicular height, and half the product will be the area.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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