A Course of Mathematics: For the Use of Academies, as Well as Private Tuition ...S. Campbell & son, E. Duyckinck, 1822 - Mathematics |
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Page iv
... examples , this edition is much enlarged in several places ; particularly by extending the tables of squares and cubes , square roots and cube roots , to 1000 numbers , which will be found of great use in many calculations ; also by the ...
... examples , this edition is much enlarged in several places ; particularly by extending the tables of squares and cubes , square roots and cube roots , to 1000 numbers , which will be found of great use in many calculations ; also by the ...
Page 6
... EXAMPLES . Express in words the following numbers ; viz . 34 15080 96 72003 180 109026 304 483500 6134 2500639 9028 7523000 13405670 47050023 309025600 4723507689 274856390000 6578600307024 NOTATION is the setting down in figures any ...
... EXAMPLES . Express in words the following numbers ; viz . 34 15080 96 72003 180 109026 304 483500 6134 2500639 9028 7523000 13405670 47050023 309025600 4723507689 274856390000 6578600307024 NOTATION is the setting down in figures any ...
Page 16
... example below . Third Method . - Multiplication is also very naturally prov- ed by Division ; for the product divided by ... EXAMPLES . Multiply 123456789 by 3 . Ans . 370370367 . Multiply 123456789 by 4 . Ans . 493827156 . Multiply ...
... example below . Third Method . - Multiplication is also very naturally prov- ed by Division ; for the product divided by ... EXAMPLES . Multiply 123456789 by 3 . Ans . 370370367 . Multiply 123456789 by 4 . Ans . 493827156 . Multiply ...
Page 17
... EXAMPLES . Products 2 Mult . 390720400 by 406000 3. Multiply 81503600 by 7030 . 4. Multiply 9030100 by 2100 . 5. Multiply 8057069 by 70050 . 23443224 15628816 158632482400000 Ans . 572970308000 . Ans . 18963210000 . Ans . 564397683450 ...
... EXAMPLES . Products 2 Mult . 390720400 by 406000 3. Multiply 81503600 by 7030 . 4. Multiply 9030100 by 2100 . 5. Multiply 8057069 by 70050 . 23443224 15628816 158632482400000 Ans . 572970308000 . Ans . 18963210000 . Ans . 564397683450 ...
Page 21
... EXAMPLES . 4 ) 52619675 5 ) 1379192 6 ) 38672940 7 ) 81396627 8 ) 23718920 9 ) 43981962 11 ) 57614230 12 ) 27980373 II . * When Ciphers are annexed to the Divisor ; cut off those ciphers from it , and cut off the same number of figures ...
... EXAMPLES . 4 ) 52619675 5 ) 1379192 6 ) 38672940 7 ) 81396627 8 ) 23718920 9 ) 43981962 11 ) 57614230 12 ) 27980373 II . * When Ciphers are annexed to the Divisor ; cut off those ciphers from it , and cut off the same number of figures ...
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Common terms and phrases
ABCD abscisses altitude arithmetical arithmetical mean arithmetical progression axis base bisected breadth ca² CD² centre chord circle circumference circumscribed common cone consequently cube root curve cylinder DE² decimal denominator denotes diameter difference distance divide divisor draw ellipse equation equiangular EXAM EXAMPLES feet figure fraction frustum Geom geometrical geometrical progression given number gives greater half height Hence improper fraction inches inscribed length Let ABC line drawn logarithm manner measure multiply ordinates parabola parallel parallelogram perimeter perpendicular plane polygon prism PROBLEM proportional Q. E. D. Corol Q. E. D. THEOREM quantity QUEST quotient radius ratio rectangle Reduce right angles right line right-angled triangle rule Scholium segment side Ac sine sphere square root subtract surd surface tangent theor theref triangle ABC VULGAR FRACTIONS yards
Popular passages
Page 312 - THE angle formed by a tangent to a circle, and a chord drawn from the point of contact, is equal to the angle in the alternate segment.
Page 292 - 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.
Page 2 - The sum of the three angles of any triangle is equal to two right angles, this is a Theorem, the truth of which is demonstrated by Geometry.
Page 189 - 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.
Page 293 - EBF, there are two angles in the one equal to two angles in the other, each to each ; and the...
Page 18 - The number to divide by, is the Divisor.- — And the number of times the dividend contains the divisor, is called the Quotient.
Page 280 - Similar figures, are those that have all the angles of the one equal to all the angles of the other, each to each, and the sides about the equal angles proportional.
Page 157 - Thus, the index or logarithm of 4, in the above series, is 2 ; and if this number be multiplied by 3, the product will be = 6 ; which is the logarithm of 64, or the third power of 4. And, if the logarithm of any number be divided by the index of its root, the quotient will be equal to the logarithm of that root.
Page 81 - Distinguish the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on over every second figure, both to the left hand in integers, and to the right hand in decimals, which points will show the number of figures the root will consist of.
Page 278 - A Pentagon is a polygon of five sides ; a Hexagon, of six sides ; a Heptagon, seven; an Octagon, eight; a Nonagon, nine ; a Decagon, ten ; an Undecagon, eleven ; and 4 Dodecagon, twelve sides.