A Course of Mathematics: For the Use of Academies as Well as Private Tuition : in Two Volumes, Volumen1W.E. Dean, 1831 |
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Página 115
... Proportional between two given terms . ADD the two given extremes or terms together , and take half their sum for the arithmetical mean required . EXAMPLE . To find an arithmetical mean between the two numbers 4 and 14 . Here 14 4 2 ...
... Proportional between two given terms . ADD the two given extremes or terms together , and take half their sum for the arithmetical mean required . EXAMPLE . To find an arithmetical mean between the two numbers 4 and 14 . Here 14 4 2 ...
Página 117
... proportional between two num . bers is the square root of their product . We may , without destroying the accuracy of a proportion , give to its various terms all the changes which do not affect the equality of the products of the means ...
... proportional between two num . bers is the square root of their product . We may , without destroying the accuracy of a proportion , give to its various terms all the changes which do not affect the equality of the products of the means ...
Página 118
... proportional . Thus , if 30 : 15 :: 6 : 3 and 2 : 3 : 4 : 6 . Then 30 X 2 : 15 × 3 :: 6 × 4 : 3 X 6 - or 60 : 45 ... proportionality of the products , term by term , of two , three , or more identical proportions . The same properties ...
... proportional . Thus , if 30 : 15 :: 6 : 3 and 2 : 3 : 4 : 6 . Then 30 X 2 : 15 × 3 :: 6 × 4 : 3 X 6 - or 60 : 45 ... proportionality of the products , term by term , of two , three , or more identical proportions . The same properties ...
Página 119
... Proportional between any two Numbers . MULTIPLY the two numbers together , and extract the square root of the product , which will give the mean propor- tional sought . EXAMPLE . To find a geometrical mean between the two GEOMETRICAL ...
... Proportional between any two Numbers . MULTIPLY the two numbers together , and extract the square root of the product , which will give the mean propor- tional sought . EXAMPLE . To find a geometrical mean between the two GEOMETRICAL ...
Página 122
... proportional to two or more numbers ; as when the stocks of partners are employed for different . times . SINGLE ... proportional numbers , Is to the whole sum to be parted or divided , So is each several proportional number , To the ...
... proportional to two or more numbers ; as when the stocks of partners are employed for different . times . SINGLE ... proportional numbers , Is to the whole sum to be parted or divided , So is each several proportional number , To the ...
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A Course of Mathematics ...: For the Use of Academies, As Well As Private ... Charles Hutton Sin vista previa disponible - 2015 |
Términos y frases comunes
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
Pasajes populares
Página 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...
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.