Elements of plane (solid) geometry (Higher geometry) and trigonometry (and mensuration), being the first (-fourth) part of a series on elementary and higher geometry, trigonometry, and mensuration |
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Page 5
... Logarithms , CHAP . VI . - Solution of Right Angled Triangles , CHAP . VII . - Solution of Oblique Angled Triangles , CHAP . VIII . - On the use of Subsidiary Angles , · CHAP . IX . - On the Solution of Geometrical Problems by Trigo- 77 ...
... Logarithms , CHAP . VI . - Solution of Right Angled Triangles , CHAP . VII . - Solution of Oblique Angled Triangles , CHAP . VIII . - On the use of Subsidiary Angles , · CHAP . IX . - On the Solution of Geometrical Problems by Trigo- 77 ...
Page 77
... logarithms , a description of which , forms the subject of the next chapter . CHAPTER V. LOGARITHMS . DEFINITIONS AND ILLUSTRATIONS . 1. Logarithms are certain functions of natural numbers , by the use of which the tedious operations of ...
... logarithms , a description of which , forms the subject of the next chapter . CHAPTER V. LOGARITHMS . DEFINITIONS AND ILLUSTRATIONS . 1. Logarithms are certain functions of natural numbers , by the use of which the tedious operations of ...
Page 78
... logarithm of that power . Thus , the index or logarithm of 4 , in the above series is 2 ; and if this number be multiplied by 3 , the product will be 6 , which is the logarithm of 64 , or the third power of 4 . And , if the logarithms ...
... logarithm of that power . Thus , the index or logarithm of 4 , in the above series is 2 ; and if this number be multiplied by 3 , the product will be 6 , which is the logarithm of 64 , or the third power of 4 . And , if the logarithms ...
Page 79
... logarithm will be readily understood , viz . The index of the logarithm of any number greater than unity is equal to one less than the number of integral figures in the given number . Thus , in searching for the logarithm of such a ...
... logarithm will be readily understood , viz . The index of the logarithm of any number greater than unity is equal to one less than the number of integral figures in the given number . Thus , in searching for the logarithm of such a ...
Page 80
... logarithm of every number between .1 and .01 , is some number between 1 and -2 ; the logarithm of every number between .01 and .001 , is some number between 2 and -3 ; and so on . From this will be understood the rule given in books ...
... logarithm of every number between .1 and .01 , is some number between 1 and -2 ; the logarithm of every number between .01 and .001 , is some number between 2 and -3 ; and so on . From this will be understood the rule given in books ...
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Elements of Plane (Solid) Geometry (Higher Geometry) and Trigonometry (and ... Nathan Scholfield No preview available - 2015 |
Common terms and phrases
ABCD abscissa altitude axis bisect chord circle circular segment circum circumference circumscribing cone conjugate construction convex surface cosec cosine cube curve cylinder described diameter distance divided draw ellipse equal to half equation equivalent feet figure formed frustum Geom geometry given hence hyperbola hypothenuse inches inscribed inscribed sphere latus rectum length logarithm magnitude measured multiplied by one-third number of sides opposite ordinates parabola parallel parallelogram perimeter perpendicular plane polyedroid polyedron polygon portion prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon revoloid rhomboid right angled triangle right line root Scholium sector segment similar similar triangles sine slant height solid angle sphere spherical square straight line tangent THEOREM triangle ABC triangular triangular prism ungula vertex vertical virtual centre
Popular passages
Page 36 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Page 35 - The sum of any two sides of a triangle, is greater than the third side.
Page 60 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Page 56 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Page 38 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Page 75 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 86 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...
Page 211 - To find the solidity of a hyperbolic conoid, or otherwise called a hyperboloid. RULE. To the square of the radius of the base, add the square of the diameter...
Page 48 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the exterior angles.