Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 48
Page ii
... Straight Line , the Conic Sections , and Surfaces . of the first and second order . Davies ' Differential and Integral Calculus . Davies ' Descriptive Geometry - With its application to Spherical Trigonome- try , Spherical Projections ...
... Straight Line , the Conic Sections , and Surfaces . of the first and second order . Davies ' Differential and Integral Calculus . Davies ' Descriptive Geometry - With its application to Spherical Trigonome- try , Spherical Projections ...
Page 13
... line , alone , is used for straight line ; and the word curve , alone , for curved line . 6. A line made up of straight lines , is called a broken line . { 7. A SURFACE is that which has length and breadth , without thickness . Surfaces ...
... line , alone , is used for straight line ; and the word curve , alone , for curved line . 6. A line made up of straight lines , is called a broken line . { 7. A SURFACE is that which has length and breadth , without thickness . Surfaces ...
Page 14
... straight line , that line will lie wholly in the surface . 9. A CURVED SURFACE is a surface which is neither a plane nor composed of planes . 10. A PLANE ANGLE is the amount of divergence of two lines lying in the same plane . Thus ...
... straight line , that line will lie wholly in the surface . 9. A CURVED SURFACE is a surface which is neither a plane nor composed of planes . 10. A PLANE ANGLE is the amount of divergence of two lines lying in the same plane . Thus ...
Page 15
... straight lines are parallel , when they lie in the same plane and can- not meet , how far soever , either way , both ... line , made up of all the sides of the polygon , is called the perimeter of the polygon . The angles formed by the ...
... straight lines are parallel , when they lie in the same plane and can- not meet , how far soever , either way , both ... line , made up of all the sides of the polygon , is called the perimeter of the polygon . The angles formed by the ...
Page 18
... straight line can be drawn can be drawn between two points . 12. The shortest distance between any two points is mea- sured on the straight line which joins them . 13. Through the same point , only one line can be drawn parallel to a given ...
... straight line can be drawn can be drawn between two points . 12. The shortest distance between any two points is mea- sured on the straight line which joins them . 13. Through the same point , only one line can be drawn parallel to a given ...
Other editions - View all
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...