Practical Mathematics: Instruction Paper, Volume 3American school of correspondence, 1912 |
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Page 110
... tangent of a ( written tan a ) A C A B cosine of a ( written cos a ) = BC cotangent of a ( written cot a ) . AC As the similar triangles ADE and A FG have also the angle a , the similar rotios of their sides may be expressed in the same ...
... tangent of a ( written tan a ) A C A B cosine of a ( written cos a ) = BC cotangent of a ( written cot a ) . AC As the similar triangles ADE and A FG have also the angle a , the similar rotios of their sides may be expressed in the same ...
Page 111
... tangent of 45 ° . SOLUTION . A 45 ° triangle has its opposite and adjacent sides equal , hence if the hypotenuse is assumed to be 10 , the sides may be calculated by the law of the right triangle , giving a value 7.07 . 7.07 Hence sin ...
... tangent of 45 ° . SOLUTION . A 45 ° triangle has its opposite and adjacent sides equal , hence if the hypotenuse is assumed to be 10 , the sides may be calculated by the law of the right triangle , giving a value 7.07 . 7.07 Hence sin ...
Page 113
... tangent of the angle between the track and the horizontal ? 7. If one end of a ladder 50 feet long rests on the ground 10 feet from a wall , what is the cosine of the angle formed between the ladder and the ground ? Find the sine and ...
... tangent of the angle between the track and the horizontal ? 7. If one end of a ladder 50 feet long rests on the ground 10 feet from a wall , what is the cosine of the angle formed between the ladder and the ground ? Find the sine and ...
Page 116
... Tangent . A tangent is a straight line which touches the circumference at only one point , called the point of tangency or point of contact , Fig . 39 . It may be proved that a tangent is perpendic- ular to a radius drawn to the point ...
... Tangent . A tangent is a straight line which touches the circumference at only one point , called the point of tangency or point of contact , Fig . 39 . It may be proved that a tangent is perpendic- ular to a radius drawn to the point ...
Page 126
... tangent to a sphere when it touches the sphere in only one point . A plane perpendicular to a radius at its outer extremity is tangent to the sphere . 100. Areas of Spheres . To find the area of the surface of a 22 sphere , multiply the ...
... tangent to a sphere when it touches the sphere in only one point . A plane perpendicular to a radius at its outer extremity is tangent to the sphere . 100. Areas of Spheres . To find the area of the surface of a 22 sphere , multiply the ...
Common terms and phrases
altitude base called characteristic circle circumference column cone conical surface cube root cubic curve shows cylinder decimal point denominator divided dividend division divisor example feet long feet per second figure Find the area Find the cube Find the logarithm Find the number Find the square Find the volume fraction given gives horizontal axis horizontal values horsepower hypotenuse kilowatt lateral area mantissa miles per hour Move the slide multiplied number of digits number of sides obtained P₁ parallelogram parallelopiped perpendicular Plot the curve polygon prism PROBLEMS FOR PRACTICE proportion pulley pyramid quadrilateral quantity quotient radius Remove the parenthesis rhombus right angles right triangle scale slant height slide rule SOLUTION spaces sphere square root straight line subtracting surface tangent term total area Transposing tungsten vertex vertical axis vertical values whole number zero
Popular passages
Page 126 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 115 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Page 105 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Page 115 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16. And this point is called the centre of the circle.
Page 135 - If the characteristic is negative, make the number of zeros between the decimal point and the first significant figure of the corresponding number one less than the number of units in the characteristic.
Page 125 - The altitude of a cone is the perpendicular distance from the vertex to the base.
Page 135 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Page 133 - The logarithm of the root of a number is found by dividing the logarithm of the number by the index of the root.
Page 87 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Page 106 - Polygons are classified according to the number of sides. A triangle is a polygon of three sides. A quadrilateral is a polygon of four sides. A pentagon is a polygon of five sides. A hexagon is a polygon of six sides.