Elementary Mathematical Analysis: A Text Book for First Year College StudentsMcGraw-Hill book Company, Incorporated, 1914 - 490 páginas |
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Página xi
... divided . ( 7 ) A pair of 6 - inch pencil compasses for drawing circles and arcs of circles , provided with medium hard lead , sharpened to a narrow chisel point . ( 8 ) A 10 - inch slide rule is required for Chapter VIII , and may be ...
... divided . ( 7 ) A pair of 6 - inch pencil compasses for drawing circles and arcs of circles , provided with medium hard lead , sharpened to a narrow chisel point . ( 8 ) A 10 - inch slide rule is required for Chapter VIII , and may be ...
Página 6
... equivalent of 1 foot of mercury , the latter must be multiplied by 13.6 , the density of mercury . This = 32 feet of water = result when divided by 12 gives the pressure equivalent of 6 [ $ 3 ELEMENTARY MATHEMATICAL ANALYSIS.
... equivalent of 1 foot of mercury , the latter must be multiplied by 13.6 , the density of mercury . This = 32 feet of water = result when divided by 12 gives the pressure equivalent of 6 [ $ 3 ELEMENTARY MATHEMATICAL ANALYSIS.
Página 7
... divided into inches and tenths to represent inches of mercury . Draw any line OB through O and lay off 11.3 uniform intervals ( inch intervals will be satisfactory ) on OB . Connect the end division on OA with the end division on OB by ...
... divided into inches and tenths to represent inches of mercury . Draw any line OB through O and lay off 11.3 uniform intervals ( inch intervals will be satisfactory ) on OB . Connect the end division on OA with the end division on OB by ...
Página 52
... divided into two sets , those represented by the cross - hatching , and those shown plain . The cross - hatched rectangular spaces contain the lines y = x and y = -x and also all curves of the para- bolic type . No parabolic curve ever ...
... divided into two sets , those represented by the cross - hatching , and those shown plain . The cross - hatched rectangular spaces contain the lines y = x and y = -x and also all curves of the para- bolic type . No parabolic curve ever ...
Página 69
... divided into two portions . One portion is utilized in overcoming the resistance of the air to the onward motion . The other part is used to sustain the aeroplane against the force of gravity . The first portion does " useless ” work ...
... divided into two portions . One portion is utilized in overcoming the resistance of the air to the onward motion . The other part is used to sustain the aeroplane against the force of gravity . The first portion does " useless ” work ...
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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 cos² 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 roots rotation seiche Show shown in Fig side sin² 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.