Elementary Mathematical Analysis: A Text Book for First Year College StudentsMcGraw-Hill book Company, Incorporated, 1914 - 490 páginas |
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Página 16
... passing through 1 lay off a line 1B equal to the other factor b . Join OB and produce it to meet AC drawn parallel to 1B . Then AC is the required product . For , from similar triangles : AC 1BOA : 01 or , AC = OA X 1B ( 1 ) ( A ) It is ...
... passing through 1 lay off a line 1B equal to the other factor b . Join OB and produce it to meet AC drawn parallel to 1B . Then AC is the required product . For , from similar triangles : AC 1BOA : 01 or , AC = OA X 1B ( 1 ) ( A ) It is ...
Página 18
... pass through O and A and the vertex of the right angle lies on the line 1U . Fig . 10 shows the construction for 7. The readings on the OX YU 10 9 . 8 . 7 -6 654 1 -0 B A 1 2 3 4 5 6 7 8 9-10 X FIG . 10. - Graphical Method of the ...
... pass through O and A and the vertex of the right angle lies on the line 1U . Fig . 10 shows the construction for 7. The readings on the OX YU 10 9 . 8 . 7 -6 654 1 -0 B A 1 2 3 4 5 6 7 8 9-10 X FIG . 10. - Graphical Method of the ...
Página 50
... pass through the points ( 0 , 0 ) and ( 1 , 1 ) . It is obvious that this property may be affirmed of any curve of the class y xn , if n is a positive number . These curves are known collectively as curves of the parabolic family , or ...
... pass through the points ( 0 , 0 ) and ( 1 , 1 ) . It is obvious that this property may be affirmed of any curve of the class y xn , if n is a positive number . These curves are known collectively as curves of the parabolic family , or ...
Página 55
... there is an infinite discontinuity in x , as y passes through the value 0 . The lines XX ' and YY ' which these curves approach as near as we please , but never meet , are called the $ 23 ] 55 RECTANGULAR COÖRDINATES.
... there is an infinite discontinuity in x , as y passes through the value 0 . The lines XX ' and YY ' which these curves approach as near as we please , but never meet , are called the $ 23 ] 55 RECTANGULAR COÖRDINATES.
Página 56
... passes through the point ( √a , Va ) ; that xy = a2 passes through ( a , a ) and can be made from xy = 1 by " stretching " ( if a > 1 ) both 56 [ $ 23 ELEMENTARY MATHEMATICAL ANALYSIS.
... passes through the point ( √a , Va ) ; that xy = a2 passes through ( a , a ) and can be made from xy = 1 by " stretching " ( if a > 1 ) both 56 [ $ 23 ELEMENTARY MATHEMATICAL ANALYSIS.
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Términos y frases comunes
abscissa algebraic amplitude arithmetical arithmetical mean arithmetical progression axes called circle common logarithm complex number computation constant construction coördinate paper corresponding cos˛ cosine cubic parabola cubic yard curve decimal diagram diameter distance divided double scale draw ellipse equal Exercises exponential expression feet Find the equation formula geometrical progression given graph graphically harmonics Hence horizontal hyperbola inches inches of mercury intersection latus rectum length locus logarithm magnitude means motion multiplied negative operation ordinates P₁ parabola parametric equations perpendicular plane polar coördinates polar equation positive power function quadrant radians ratio rectangles rectangular coördinates represented root rotation seiche Show shown in Fig side sin˛ sine sinusoid slope Solve straight line student substituting tangent theorem tion trigonometric functions unit variable velocity vertical wave x-axis Y-axis zero ΙΟ
Pasajes populares
Página 301 - In the same way it may be proved that a : b : : sin. A : sin. B, and these two proportions may be written a : 6 : c : : sin. A : sin. B : sin. C. THEOREM III. t8. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. By Theorem II. we have a : b : : sin. A : sin. B.
Página 124 - At a point 200 feet from, and on a level with the base of a tower, the angle of elevation of the top of the tower is observed to be 60° : what is the height of the tower?
Página 299 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides by the projection of the other upon that side.
Página 370 - Hence the quotient of two complex numbers is a complex number whose modulus is the quotient of the moduli, and whose amplitude is the difference of the amplitudes of the two complex numbers.
Página 225 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página 300 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Página 404 - A conic is the locus of a point whose distance from a fixed point called the focus is in a constant ratio to its distance from a fixed line called a directrix.
Página ii - Journal Engineering Record Engineering News Railway Age Gazette American Machinist Signal Engineer American Engineer Electric Railway Journal Coal Age Metallurgical and Chemical Engineering Power THE ELECTRIC RAILWAY BY A.
Página 399 - It may nlno be defined аз the locus of a point which moves In a plane so that Its distance from a fixed point, called the focus. Is in a constant ratio (the eccentricity) to its distance from a fixed straight line known as the directrix.
Página 10 - ... function. A magnitude so related to another magnitude that for any value of one there is a corresponding value of the other. For instance, the area of a circle is a function of its radius. The radius is also a function of the area. functional reserves. The ability of the body to accomplish additional muscular or other activity and useful work beyond the normal level of activity of an individual.