A Concise System of Mathematics ...Oliver & Boyd, 1830 - 120 páginas |
Dentro del libro
Resultados 1-5 de 72
Página 14
... Suppose a = 12 , b = 3 , c = 2 , d = 4 , e = 5 , ƒ = 9 , g = 25 , h = 7 , i = 11 , k = 1 . 1. a + b - c + d 2. 4a . · 56 + 4c . 7d 3. ab 2cd + 4be3cf - 4. 8aa · 5ab + 10ac · 4bc + 4bb 5. 6a3 — ― · 4a2b + 2ab2 — 763 -- 6. 2a2bc + 3ab2c ...
... Suppose a = 12 , b = 3 , c = 2 , d = 4 , e = 5 , ƒ = 9 , g = 25 , h = 7 , i = 11 , k = 1 . 1. a + b - c + d 2. 4a . · 56 + 4c . 7d 3. ab 2cd + 4be3cf - 4. 8aa · 5ab + 10ac · 4bc + 4bb 5. 6a3 — ― · 4a2b + 2ab2 — 763 -- 6. 2a2bc + 3ab2c ...
Página 29
... Suppose a to be divided by a5 . By the for- mer method = . By the second a2 = a3 ; so that a . Here the negative exponent does not represent a negative quantity , but only shows that the quantity placed in the numerator ought to be in ...
... Suppose a to be divided by a5 . By the for- mer method = . By the second a2 = a3 ; so that a . Here the negative exponent does not represent a negative quantity , but only shows that the quantity placed in the numerator ought to be in ...
Página 44
... question is properly limited ; after which , these equations being resolved by the preceding rules , will give the answer or answers . Suppose the greatest unknown quantity , y the next , 44 ALGEBRA . Solution of Questions,
... question is properly limited ; after which , these equations being resolved by the preceding rules , will give the answer or answers . Suppose the greatest unknown quantity , y the next , 44 ALGEBRA . Solution of Questions,
Página 45
Alexander Ingram. Suppose the greatest unknown quantity , y the next , z , v , & c . the lesser ones in their order . Suppose it to be a condition of the question , that The two quantities together , or their sum , amounts to 18 . This ...
Alexander Ingram. Suppose the greatest unknown quantity , y the next , z , v , & c . the lesser ones in their order . Suppose it to be a condition of the question , that The two quantities together , or their sum , amounts to 18 . This ...
Página 53
... Suppose the sum of two numbers to be 277 , and their difference to be 115 ; then the = = 196 . greater number is ( " + d ) = ( 277 + 115 ) = 392 Suppose again the difference of two numbers to be 10 , and their product 119 . The greater ...
... Suppose the sum of two numbers to be 277 , and their difference to be 115 ; then the = = 196 . greater number is ( " + d ) = ( 277 + 115 ) = 392 Suppose again the difference of two numbers to be 10 , and their product 119 . The greater ...
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Términos y frases comunes
9 inches ABCD angle ABC axes axis balls base breadth cask centre chord circle circumference Cosine Cotang cubic feet cubic inches curve cylinder Degrees depth diagonal diameter difference directrix distance divided divisor draw ellipse equal feet 6 inches feet long field field-book find the area fleur-de-lis fluxion foot frustum Gauge-Points girt given hyperbola hypotenuse imperial gallons inches broad logarithm mean proportional measured multiply opposite parabola parallel perches perpendicular poles PROB PROP quantity quotient radius ratio rectangle Required the area Required the content Required the height right angles right ascension RULE segment side AC solid specific gravity spherical triangle square root square yard station straight line subtract taken Tang tangent Theodolite thickness triangle ABC ullage wet inches
Pasajes populares
Página 30 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Página 19 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 58 - The sum of any number of terms in arithmetical progression is equal to the sum of the extremes multiplied by half the number of terms.
Página 335 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Página 336 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Página 19 - Powers of the same quantity are divided by subtracting the exponent of the divisor from that of the dividend ; the remainder is the exponent of the quotient.
Página 58 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.
Página 13 - C, indicates that the sum of A and B is to be multiplied by C ; and (A + B) -=- C, indicates that the sum of A and B is to be divided by C.
Página 130 - So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Página 141 - ... containing ten pounds avoirdupois weight of distilled water, weighed in air, at the temperature of 62...