Elements of Geometry and TrigonometryBarnes & Burr, 1863 - 455 páginas |
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Página 3
... positive number , except 1 , may be taken as the base of a system . In the common system , the base is 10 . 2. If we denote any positive number by n , and the corresponding exponent of 10 , by x , we shall have the exponential equation ...
... positive number , except 1 , may be taken as the base of a system . In the common system , the base is 10 . 2. If we denote any positive number by n , and the corresponding exponent of 10 , by x , we shall have the exponential equation ...
Página 4
... positive , and numerically 1 less than the number of places of figures in the given number . If a decimal fraction lies between .1 and 1 , its loga- rithm lies between - 1 and and 0 , that is , it is equal to 1 plus a decimal ; if a ...
... positive , and numerically 1 less than the number of places of figures in the given number . If a decimal fraction lies between .1 and 1 , its loga- rithm lies between - 1 and and 0 , that is , it is equal to 1 plus a decimal ; if a ...
Página 5
... positive . This fact is indicated by writing the neg- ative sign over the characteristic : thus , 2.371465 , is equiv- alent to 2 + .371465 . It is to be observed , that the characteristic of a mixed number is the same as that of its ...
... positive . This fact is indicated by writing the neg- ative sign over the characteristic : thus , 2.371465 , is equiv- alent to 2 + .371465 . It is to be observed , that the characteristic of a mixed number is the same as that of its ...
Página 7
... positive or negative . Then , in accordance with the principles of Arts . 5 and 3 , we shall have , log ( n × 10 " ) log n + log 10o = p + log n ; but p is , by hypothesis , a whole number : hence , the deci mal part of the log ( n × 10 ...
... positive or negative . Then , in accordance with the principles of Arts . 5 and 3 , we shall have , log ( n × 10 " ) log n + log 10o = p + log n ; but p is , by hypothesis , a whole number : hence , the deci mal part of the log ( n × 10 ...
Página 51
... positive ; consequently , those reckoned in a con- trary direction must be regarded as negative . The arc AB , is called the first quadrant ; the arc BC , the second quadrant ; the arc CD , the third quadrant ; and the arc CA , the ...
... positive ; consequently , those reckoned in a con- trary direction must be regarded as negative . The arc AB , is called the first quadrant ; the arc BC , the second quadrant ; the arc CD , the third quadrant ; and the arc CA , the ...
Otras ediciones - Ver todas
Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies Sin vista previa disponible - 2016 |
Términos y frases comunes
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
Pasajes populares
Página 28 - If two triangles have two sides of the one equal to two sides of the...
Página 100 - The area of a triangle is equal to half the product of its base by its altitude.
Página 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Página 59 - A chord is a straight line joining the extremities of an arc.
Página 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Página 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.
Página 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.
Página 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.
Página 123 - Similar triangles are to each other as the squares of their homologous sides.
Página 182 - The upper end of the frustum of a pyramid or cone is called the upper base...