Elements of Geometry and Trigonometry |
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Page vii
... Sine of Half an Angle ,. 108 Area of a Trapezoid , 112 Area of a Quadrilateral , 112 Area of a Polygon , 113 Area of a Regular Polygon , 114 To find the Circumference of a Circle , 116 To find the Diameter of a Circle , 116 To find the ...
... Sine of Half an Angle ,. 108 Area of a Trapezoid , 112 Area of a Quadrilateral , 112 Area of a Polygon , 113 Area of a Regular Polygon , 114 To find the Circumference of a Circle , 116 To find the Diameter of a Circle , 116 To find the ...
Page 19
... sine of AM , and P'M ' is the sine of AM ' . If AM is equal to M'C , AM and AM ' will be supple- ments of each other ; and be- cause MM ' is parallel to AC , PM will be equal to P'M ' T " B T M ' IN MT P ' A M ( B. I. , P. XXIII ...
... sine of AM , and P'M ' is the sine of AM ' . If AM is equal to M'C , AM and AM ' will be supple- ments of each other ; and be- cause MM ' is parallel to AC , PM will be equal to P'M ' T " B T M ' IN MT P ' A M ( B. I. , P. XXIII ...
Page 20
... is the cotangent of the are AM ' . The sine , cosine , tangent , and are , for convenience , written sin a , cotangent of an arc , α , cos a , tan and cot a . These functions of an arc have been defined on the 20 PLANE TRIGONOMETRY .
... is the cotangent of the are AM ' . The sine , cosine , tangent , and are , for convenience , written sin a , cotangent of an arc , α , cos a , tan and cot a . These functions of an arc have been defined on the 20 PLANE TRIGONOMETRY .
Page 21
... sine , cosine , tangent , and cotangent of the angle AOM , as well as of the arc AM . O as 30. It is often ... sine ; A'M ' an arc described from 0 as a centre , with any ra- radius R , and P'M ' its sine . Then , because OPM and OP'M ...
... sine , cosine , tangent , and cotangent of the angle AOM , as well as of the arc AM . O as 30. It is often ... sine ; A'M ' an arc described from 0 as a centre , with any ra- radius R , and P'M ' its sine . Then , because OPM and OP'M ...
Page 22
... SINE , COSINE , TANGENT , or COTAN- GENT is the logarithm of the sine , cosine , tangent , or cotan- gent of an are whose radius is 10,000,000,000 . A TABLE OF LOGARITHMIC SINES is a table from which the logarithmic sine , cosine ...
... SINE , COSINE , TANGENT , or COTAN- GENT is the logarithm of the sine , cosine , tangent , or cotan- gent of an are whose radius is 10,000,000,000 . A TABLE OF LOGARITHMIC SINES is a table from which the logarithmic sine , cosine ...
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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...