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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Page 50
... means of which the student may resolve such questions as require two or more statings in simple proportion . The general rule for questions of this kind may be ex- hibited in the following precepts : viz . 1. Set down the terms that ...
... means of which the student may resolve such questions as require two or more statings in simple proportion . The general rule for questions of this kind may be ex- hibited in the following precepts : viz . 1. Set down the terms that ...
Page 78
... means not square inches , but rect- angles of an inch broad and a foot long . Thus , the answer to the first example is 29 sq . feet , 4 sq . inches ; to the second 66 sq . feet , 54 sq . inches . INVOLUTION . INVOLUTION is the raising ...
... means not square inches , but rect- angles of an inch broad and a foot long . Thus , the answer to the first example is 29 sq . feet , 4 sq . inches ; to the second 66 sq . feet , 54 sq . inches . INVOLUTION . INVOLUTION is the raising ...
Page 80
... means of deci- mals , we may approximate or approach towards the root , to any degree of exactness . Those roots which only approximate , are called Surd Roots ; but those which can be found quite exact , are called Rational Roots ...
... means of deci- mals , we may approximate or approach towards the root , to any degree of exactness . Those roots which only approximate , are called Surd Roots ; but those which can be found quite exact , are called Rational Roots ...
Page 84
... means of the square root also may readily be found the 4th root , or the 8th root , or the 16th root , & c . that is , the root of any power whose index is some power of the number 2 ; namely , by extracting so often the square root as ...
... means of the square root also may readily be found the 4th root , or the 8th root , or the 16th root , & c . that is , the root of any power whose index is some power of the number 2 ; namely , by extracting so often the square root as ...
Page 111
... means , that 4 is to 2 as 6 is to 3 ; or thus , 4 : 26 : 3 , or thus , = , both which mean , that the ratio of 4 to 2 , is equal to the ratio of 6 to 3 . Proportion is distinguished into Continued and Discon- tinued . When the ...
... means , that 4 is to 2 as 6 is to 3 ; or thus , 4 : 26 : 3 , or thus , = , both which mean , that the ratio of 4 to 2 , is equal to the ratio of 6 to 3 . Proportion is distinguished into Continued and Discon- tinued . When the ...
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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
AB² ABCD abscisses ac² altitude arithmetical arithmetical progression axis base bisected breadth ca² CD² centre chord circle circumference circumscribed common cone consequently Cosine Cotang cube root curve cylinder DE² decimal denominator denotes diameter difference distance divide 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 ordinate 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 square root subtract surd surface Tang 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 311 - 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 248 - 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 378 - 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. Hence a semicircle contains 180 degrees, and a quadrant 90 degrees. 58. The Measure of an angle is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is estimated by the number of degrees contained in that arc.
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 39 - Multiply the number in the lowest denomination by the multiplier, and find how many units of the next higher denomination are contained in the product, setting down what remains.
Page 281 - If equals be taken from equals the remainders are equal. 4. If equals be added to unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. 6. Things which are double of the same are equal to one another.
Page 11 - Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before ; and so on, till the whole is finished.
Page 318 - Three quantities are said to be proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Page 122 - Is when the several shares of stock are continued in trade an equal term of time. RULE. As the whole stock is to the whole gain or loss : so is each man's particular stock, to his particular share of the gain or loss.