Elements of Geometry and Trigonometry |
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Page vi
... Rules for Characteristics , General Principles , Table of Logarithms , Manner of Using the Table , Multiplication by Logarithms , Division by Logarithms , · Arithmetical Complement , • 1 Raising to Powers by Logarithms , Extraction of ...
... Rules for Characteristics , General Principles , Table of Logarithms , Manner of Using the Table , Multiplication by Logarithms , Division by Logarithms , · Arithmetical Complement , • 1 Raising to Powers by Logarithms , Extraction of ...
Page 4
... to 2 , plus a decimal ; if between .001 and .01 , its logarithm is equal to -3 , plus a decimal ; and so on hence , the following RULE . The characteristic of the logarithm of a decimal 4 INTRODUCTION . Rules for Characteristics,
... to 2 , plus a decimal ; if between .001 and .01 , its logarithm is equal to -3 , plus a decimal ; and so on hence , the following RULE . The characteristic of the logarithm of a decimal 4 INTRODUCTION . Rules for Characteristics,
Page 5
Adrien Marie Legendre Charles Davies. RULE . The characteristic of the logarithm of a decimal fraction is negative , and numerically 1 greater than the number of o's that immediately follow the decimal point . The characteristic alone is ...
Adrien Marie Legendre Charles Davies. RULE . The characteristic of the logarithm of a decimal fraction is negative , and numerically 1 greater than the number of o's that immediately follow the decimal point . The characteristic alone is ...
Page 7
... rules of Art . 4 . may be Before explaining the use of the table , it is to be shown that the mantissa of the logarithm of any number is not changed by multiplying or dividing the number by any exact power of 10 . Let n represent any ...
... rules of Art . 4 . may be Before explaining the use of the table , it is to be shown that the mantissa of the logarithm of any number is not changed by multiplying or dividing the number by any exact power of 10 . Let n represent any ...
Page 8
... rule of Art . 4 . To find the mantissa , look in the column headed " N , " for the first three figures of the number ; then pass along a horizontal line until you come to the column headed with the fourth figure of the number ; at this ...
... rule of Art . 4 . To find the mantissa , look in the column headed " N , " for the first three figures of the number ; then pass along a horizontal line until you come to the column headed with the fourth figure of the number ; at this ...
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Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies No preview available - 2016 |
Common terms and phrases
AB² ABCD AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right-angled triangle Scholium secant segment semi-circumference side BC similar Sine slant height sphere spherical angle spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prisms upper base vertex vertices whence
Popular passages
Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 100 - The area of a triangle is equal to half the product of its base by its altitude.
Page 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 59 - A chord is a straight line joining the extremities of an arc.
Page 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 214 - 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 43 - C' (89) (90) (91) (92) (93) 112. 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.
Page 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 123 - Similar triangles are to each other as the squares of their homologous sides.
Page 182 - The upper end of the frustum of a pyramid or cone is called the upper base...