A Course of Mathematics: In Two Volumes : for the Use of Academies, as Well as Private Tuition, Τόμος 1Samuel Campbell, Evert Duyckinck, T. & J. Swords, 1816 |
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Σελίδα viii
... remainder of the Fluxions with the applications to tangents , radii of curvature , rectifications , quadratures , & c , the 11th and 12th chapters of the 3d vol . should be taught . The prob . lems in the 13th and 14th chapters must be ...
... remainder of the Fluxions with the applications to tangents , radii of curvature , rectifications , quadratures , & c , the 11th and 12th chapters of the 3d vol . should be taught . The prob . lems in the 13th and 14th chapters must be ...
Σελίδα 11
... remainder towards the right - hand directly even with the figures in the line , as in the annexed example . - Do the same with each of the proposed lines of numbers , set- ting all these excesses of nines in a co- lumn on the right ...
... remainder towards the right - hand directly even with the figures in the line , as in the annexed example . - Do the same with each of the proposed lines of numbers , set- ting all these excesses of nines in a co- lumn on the right ...
Σελίδα 12
... remainder to the less number , or that which is just above it ; and if the sum be equal to the greater or up- permost number , the work is right . EXAMPLES . 1 . 2 . 3 . From 5386427 Take 2164315 From 5386427 Take 4258792 From 1234567 ...
... remainder to the less number , or that which is just above it ; and if the sum be equal to the greater or up- permost number , the work is right . EXAMPLES . 1 . 2 . 3 . From 5386427 Take 2164315 From 5386427 Take 4258792 From 1234567 ...
Σελίδα 14
... remainder di- rectly under the figure that is multiplied ; and if nothing remains , set down a cipher . - Carry as many units or ones as there are tens counted , to the product of the next figures ; and proceed in the same manner till ...
... remainder di- rectly under the figure that is multiplied ; and if nothing remains , set down a cipher . - Carry as many units or ones as there are tens counted , to the product of the next figures ; and proceed in the same manner till ...
Σελίδα 18
... Remainder left , after the divi- sion is finished . The usual manner of placing the terms , is , the dividend in the middle , having the divisor on the left hand , and the quo- tient on the right , each separated by a curve line ; as ...
... Remainder left , after the divi- sion is finished . The usual manner of placing the terms , is , the dividend in the middle , having the divisor on the left hand , and the quo- tient on the right , each separated by a curve line ; as ...
Περιεχόμενα
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD abscisses ac² altitude arithmetical arithmetical progression axis base bisected CA² CD² centre chord circle circumference common compound cone consequently cube root cubic equation cylinder decimal denominator denotes diameter difference distance divide dividend divisor draw equal angles equal th equation equiangular equilateral EXAMPLES feet figure fraction frustum geometrical progression given number gives greater Hence improper fraction inches infinite series inscribed length Let ABC logarithm manner measured by half multiply ordinates parallel parallelogram perpendicular plane polygon prism PROBLEM proportional Q. E. D. Corol Q. E. D. THEOREM quantity QUEST quotient radii radius ratio rectangle Reduce right angles right line right-angled triangle rule side AC sine square root subtract surd tangent theor theref transposing triangle ABC VULGAR FRACTIONS whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 6 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Σελίδα 285 - AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side.
Σελίδα 438 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 187 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Σελίδα 202 - Subtract its power from that term, and bring down the second term for a dividend. 3. Involve the root, last found, to the next lowest -power, and multiply it by the index of the given power for a divisor.
Σελίδα 290 - A perpendicular is the shortest line that can be drawn from a given point to a given line.
Σελίδα 86 - Then say, by the rule of three, as the sum of the given number and double the assumed cube is to the sum of the assumed cube and double the given number, so is the root of the assumed cube to the root required, nearly ; Or as the first sum is to the difference of the given and assumed...
Σελίδα 398 - Two ships of war, intending to cannonade a fort, are, by the shallowness of the water, kept so far from it, that they suspect their guns cannot reach it with effect. In order, therefore, to measure the distance, they separate from each other a quarter of a mile, or 440 yards ; then each ship observes and measures the angle which the other ship and the fort subtend, which angles are 83° 45
Σελίδα 355 - B draw chords BA, BC, to the two other points, and bisect these chords perpendicularly by lines meeting in O, which will be the centre. Then from the centre O, at the distance of any one of the points, as ( ) A, describe a circle, and it will pass through the two other points B, C, as required.
Σελίδα 56 - To reduce an improper fraction to a whole, or mixed number. Divide the numerator by the denominator, and the quotient will be the whole, or mixed number required.