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 iii
... manner of demonstration , throughout the whole work , especially in the geometry , which is rendered much more easy and simple than heretofore ; and in the conic in secons sections , which are here treated in a manner at 10-14-38.
... manner of demonstration , throughout the whole work , especially in the geometry , which is rendered much more easy and simple than heretofore ; and in the conic in secons sections , which are here treated in a manner at 10-14-38.
Σελίδα iv
... manner at once new , easy and natural ; so much so indeed , that all the propositions and their demonstrations , in the ellipsis , are the very same , word for word , as those in the hyperbola , using only , in a very few places , the ...
... manner at once new , easy and natural ; so much so indeed , that all the propositions and their demonstrations , in the ellipsis , are the very same , word for word , as those in the hyperbola , using only , in a very few places , the ...
Σελίδα ix
... manner in which the subject is treated - a quality of primary importance in a treatise intended for beginners , and containing the elements of science . The third volume of the English edition having been but lately published , is ...
... manner in which the subject is treated - a quality of primary importance in a treatise intended for beginners , and containing the elements of science . The third volume of the English edition having been but lately published , is ...
Σελίδα 11
... manner as the first . And thus proceed till the whole is finished , setting down the total amount of the last row . TO PROVE ADDITION . First Method . - Begin at the top , and add together all the rows of numbers downwards ; in the same ...
... manner as the first . And thus proceed till the whole is finished , setting down the total amount of the last row . TO PROVE ADDITION . First Method . - Begin at the top , and add together all the rows of numbers downwards ; in the same ...
Σελίδα 14
... manner till the whole is finished . EXAMPLE . Multiply 9876543210 the Multiplicand . By 2 the Multiplier . 19753086420 the Product . To multiply by a Number consisting of Several Figures . Set the multiplier below the multiplicand ...
... manner till the whole is finished . EXAMPLE . Multiply 9876543210 the Multiplicand . By 2 the Multiplier . 19753086420 the Product . To multiply by a Number consisting of Several Figures . Set the multiplier below the multiplicand ...
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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.