A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for ExerciseG. B. Whittaker, 1825 - 372 σελίδες |
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Αποτελέσματα 6 - 10 από τα 71.
Σελίδα 1
... fraction , as a , a , a , x , it re- presents the root ; thus , denotes the square root of r ; 1 its cube root ; x its mth root , a its nth root , & c . Note . The mth or nth root of any quantity is a general expression for any root ...
... fraction , as a , a , a , x , it re- presents the root ; thus , denotes the square root of r ; 1 its cube root ; x its mth root , a its nth root , & c . Note . The mth or nth root of any quantity is a general expression for any root ...
Σελίδα 10
... fraction , and add the odd ones , if any , to the numeral quotient ( Art . 34 and 35. ) Examples . 1 18 ar2 = 6x Ans . 3 ar Divide 3d . 2 + 15 a2 1,2 3ab Ans . -- 5 a 4 xy + 4 yz - 28 ° y3 by 4th . Divide 20 x2 y2 x2 by -- 5th . Divide ...
... fraction , and add the odd ones , if any , to the numeral quotient ( Art . 34 and 35. ) Examples . 1 18 ar2 = 6x Ans . 3 ar Divide 3d . 2 + 15 a2 1,2 3ab Ans . -- 5 a 4 xy + 4 yz - 28 ° y3 by 4th . Divide 20 x2 y2 x2 by -- 5th . Divide ...
Σελίδα 12
... fraction . Rule . Multiply the integer by the denominator of the fraction , and to the product annex the numerator with its proper sign ; under this same place the former denominator , and the result will ... fraction 12 ALGEBRA . Fractions.
... fraction . Rule . Multiply the integer by the denominator of the fraction , and to the product annex the numerator with its proper sign ; under this same place the former denominator , and the result will ... fraction 12 ALGEBRA . Fractions.
Σελίδα 13
... fraction . 2x - 3 3. Reduce 5x - 7 30 a2x - 4x Ans . бa to a common denominator . Ans . 33x + 3 7 2c 4. Reduce 4ab + to a common denominator . 3a 5. Reduce 362 - 5x 6. Reduce a −x + 4a to a common denominator . -ax 4x 7. Reduce 3.r2 9 ...
... fraction . 2x - 3 3. Reduce 5x - 7 30 a2x - 4x Ans . бa to a common denominator . Ans . 33x + 3 7 2c 4. Reduce 4ab + to a common denominator . 3a 5. Reduce 362 - 5x 6. Reduce a −x + 4a to a common denominator . -ax 4x 7. Reduce 3.r2 9 ...
Σελίδα 14
... fractions required are acd b'd , c'd bcd bcd and ted 2.x 5x 4a 2. Reduce 3 b and to a common denominator . 5 2.x b • • 5 ... fraction is reduced to its lowest terms . 1. Reduce Examples . 14237ax + 2x2 35 x to a common denominator . Note ...
... fractions required are acd b'd , c'd bcd bcd and ted 2.x 5x 4a 2. Reduce 3 b and to a common denominator . 5 2.x b • • 5 ... fraction is reduced to its lowest terms . 1. Reduce Examples . 14237ax + 2x2 35 x to a common denominator . Note ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal altitude angle ABC angle BAC axis bisected centre circle ABCD circumference co-efficient cone conic section convergency curve cylinder described diameter divided draw equal angles equation equiangular equimultiples factors fluxion fore fraction geometrical progression given straight line gnomon greater Hence hyperbola join less Let ABC magnitudes multiple opposite parabola parallel parallelogram perpendicular plane angles polygon prism produced proportional pyramid Q. E. D. PROP Q. E. D. Proposition radius rectangle rectangle contained rectilineal figure remaining angle right angles segment shewn side BC similar sine solid angle solid parallelopiped spherical triangle square of AC subtract surd tang tangent Theorem third tiple triangle ABC vertex whence Wherefore
Δημοφιλή αποσπάσματα
Σελίδα 172 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Σελίδα 191 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 190 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
Σελίδα 196 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Σελίδα 192 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Σελίδα 177 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Σελίδα 209 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Σελίδα 284 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Σελίδα 286 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Σελίδα 179 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.