Elements of Geometry and Trigonometry |
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Page iii
... taken to represent any one of the class to which it belongs . By this arrangement , the difficulty experienced by beginners in comprehending abstract truths , is lessened , without in any manner impairing the gener ality of the truths ...
... taken to represent any one of the class to which it belongs . By this arrangement , the difficulty experienced by beginners in comprehending abstract truths , is lessened , without in any manner impairing the gener ality of the truths ...
Page 9
... taken as 8 standard . The assumed standard is called the unit of mea sure . 2. Since the unit of measure is of the same kind as the thing measured , there are as many species of quantity as there are kinds of units . In Geometry , there ...
... taken as 8 standard . The assumed standard is called the unit of mea sure . 2. Since the unit of measure is of the same kind as the thing measured , there are as many species of quantity as there are kinds of units . In Geometry , there ...
Page 10
... taken . or When a compound quantity is to be operated upon as a single quantity , its parts are connected by a ... taken . Thus , 3 ( A + B ) , indicates that the sum of A and B is to be taken three times . The Sign of Equality , B + C ...
... taken . or When a compound quantity is to be operated upon as a single quantity , its parts are connected by a ... taken . Thus , 3 ( A + B ) , indicates that the sum of A and B is to be taken three times . The Sign of Equality , B + C ...
Page 15
... equilateral , or mutually equilateral , when their sides , taken in the same order , are equal , each to each that is , following their perimeters in the same direction , the first side of the one is equal BOOK I. 15.
... equilateral , or mutually equilateral , when their sides , taken in the same order , are equal , each to each that is , following their perimeters in the same direction , the first side of the one is equal BOOK I. 15.
Page 16
... taken in the same order , are equal , each to each . 23. A DIAGONAL of a polygon is a line joining the ver- tices of two angles , not consecutive . sides on 24. A BASE of a polygon is any one of its sides which the polygon is supposed ...
... taken in the same order , are equal , each to each . 23. A DIAGONAL of a polygon is a line joining the ver- tices of two angles , not consecutive . sides on 24. A BASE of a polygon is any one of its sides which the polygon is supposed ...
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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
ABē ABCD ACē 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...