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 2
... evident that in reading of numbers there is a con- stant repetition of hundreds , tens , and units , at every three figures : thus , the three first on the right denote four hundred and forty - four ; the next three , four hundred and ...
... evident that in reading of numbers there is a con- stant repetition of hundreds , tens , and units , at every three figures : thus , the three first on the right denote four hundred and forty - four ; the next three , four hundred and ...
Σελίδα 6
... evident that in placing numbers for subtraction , units must stand under units , tens under tens , hundreds under hundreds , & c . as in addition . Ex . 1. From 33 Take 22 Difference or remainder 11 9. The method of proving subtraction ...
... evident that in placing numbers for subtraction , units must stand under units , tens under tens , hundreds under hundreds , & c . as in addition . Ex . 1. From 33 Take 22 Difference or remainder 11 9. The method of proving subtraction ...
Σελίδα 8
... evident that the next lower figure must be augmented by 1 . Thus , from 10126 Take 1357 Rem . $ 769 ; here 7 and 9 make 16 , therefore 9 remains ; 6 ( or 5 augmented by i ) and 6 make 12 , therefore 6 remains ; 4 ( or 3 augmented by 1 ) ...
... evident that the next lower figure must be augmented by 1 . Thus , from 10126 Take 1357 Rem . $ 769 ; here 7 and 9 make 16 , therefore 9 remains ; 6 ( or 5 augmented by i ) and 6 make 12 , therefore 6 remains ; 4 ( or 3 augmented by 1 ) ...
Σελίδα 10
... evident from Notation . When the multiplier consists of several figures . 16. Begin at the right , and multiply by each figure separately , and set down the products so that the units of the second line may stand under the tens of the ...
... evident from Notation . When the multiplier consists of several figures . 16. Begin at the right , and multiply by each figure separately , and set down the products so that the units of the second line may stand under the tens of the ...
Σελίδα 12
... evident that 675 , and also the sum of its digits , are each an exact number of nines . And the same method of proof will extend to other numbers . From hence it follows , that when the nines are cast out of any number , and also out of ...
... evident that 675 , and also the sum of its digits , are each an exact number of nines . And the same method of proof will extend to other numbers . From hence it follows , that when the nines are cast out of any number , and also out of ...
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