A Course of Mathematics: For the Use of Academies as Well as Private Tuition : in Two Volumes, Volume 1W.E. Dean, 1831 - Mathematics |
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... Rule , or Rule of Three 45 Compound Proportion 50 Arithmetical Proportion and Pro- Geometrical Proportion and Pro- 203 207 Vulgar Fractions 52 gression 212 Reduction of Vulgar Fractions Infinite Series , and their Summa- 53 tion · 214 ...
... Rule , or Rule of Three 45 Compound Proportion 50 Arithmetical Proportion and Pro- Geometrical Proportion and Pro- 203 207 Vulgar Fractions 52 gression 212 Reduction of Vulgar Fractions Infinite Series , and their Summa- 53 tion · 214 ...
Page 10
... rule it- self is evident for the excess of 9's in two or more numbers being taken separately , and the excess of 9's taken also out of the sum of the former excesses , it is plain that this last excess must be equal to the ex- cess of ...
... rule it- self is evident for the excess of 9's in two or more numbers being taken separately , and the excess of 9's taken also out of the sum of the former excesses , it is plain that this last excess must be equal to the ex- cess of ...
Page 15
... rule may , however , be as follows : -Let P and Q denote the number of 9's in the factors to be multiplied , and a and b what remain ; then 9p + a and 9q + b will be the numbers themselves , and their product is ( 9PX9q ) + ( 9P × b ) + ...
... rule may , however , be as follows : -Let P and Q denote the number of 9's in the factors to be multiplied , and a and b what remain ; then 9p + a and 9q + b will be the numbers themselves , and their product is ( 9PX9q ) + ( 9P × b ) + ...
Page 18
... Rule . Having placed the divisor before the dividend , as above directed , find how often the divisor is contained in as many figures of the dividend as are just necessary , and place the num- ber on the right in the quotient . Mul- 12 ...
... Rule . Having placed the divisor before the dividend , as above directed , find how often the divisor is contained in as many figures of the dividend as are just necessary , and place the num- ber on the right in the quotient . Mul- 12 ...
Page 20
... RULES FOR REDUCTION . I. When the Numbers are to be reduced from a Higher Denomination to a Lower : MULTIPLY the number in ... rule by division . - And the same , it is evident , will be true in the reduction of numbers consisting of any ...
... RULES FOR REDUCTION . I. When the Numbers are to be reduced from a Higher Denomination to a Lower : MULTIPLY the number in ... rule by division . - And the same , it is evident , will be true in the reduction of numbers consisting of any ...
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A Course of Mathematics ...: For the Use of Academies, As Well As Private ... Charles Hutton No preview available - 2015 |
Common terms and phrases
ABCD abscisses ac² altitude arithmetical arithmetical progression axis base bisected breadth ca² CD² centre chord circle circumference common cone consequently Cosine cube root curve cylinder DE² decimal denominator denotes diameter difference distance divide dividend divisor draw ellipse equal equation equiangular EXAM EXAMPLES feet figure fraction frustum Geom geometrical progression given number gives greater half Hence inches infinite series inscribed length Let ABC logarithm 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 side AC sine solid square root subtract surd surface tangent theor theref triangle ABC VULGAR FRACTIONS whole yards
Popular passages
Page 4 - 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...
Page 284 - If a straight line be divided into any two parts, the square on the whole line is...
Page 408 - How many square feet are there in the convex surface of the frustum of a square pyramid, whose slant...
Page 297 - 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 273 - AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side.
Page 236 - It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Ans. 10 and 14.
Page 133 - A hare starts 40 yards before a grey-hound, and is not perceived by him till she has been up 40 seconds : she scuds away at the rate of ten miles an hour, and the dog, on view, makes after her at the rate of 18 miles an hour : How long will the course hold, and what space will be ran over from the spot where the dog started ? Am.
Page 278 - 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 19 - Or multiply the last remainder by the preceding divisor, or last but one, and to the product add the preceding remainder; multiply this sum by the next preceding divisor, and to the product add the next preceding remainder ; and so on till you have gone through all the divisors and remainders to the first, thus
Page 265 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on.