Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 100
Page 15
... sides of the polygon . The broken line , made up of all the sides of the polygon , is called the perimeter of the polygon . The angles formed by the sides , are called angles of the polygon . 19. Polygons are classified according to the ...
... sides of the polygon . The broken line , made up of all the sides of the polygon , is called the perimeter of the polygon . The angles formed by the sides , are called angles of the polygon . 19. Polygons are classified according to the ...
Page 16
... sides on 24. A BASE of a polygon is any one of its sides which the polygon is supposed to stand . 25. Triangles may be classified with reference either to their sides , or their angles . When classified with reference to their sides ...
... sides on 24. A BASE of a polygon is any one of its sides which the polygon is supposed to stand . 25. Triangles may be classified with reference either to their sides , or their angles . When classified with reference to their sides ...
Page 17
... sides . There are then two classes : the first class embraces those which have no two sides par- allel ; the second class embraces those which have two sides parallel . Quadrilaterals of the first class , are called trapeziums ...
... sides . There are then two classes : the first class embraces those which have no two sides par- allel ; the second class embraces those which have two sides parallel . Quadrilaterals of the first class , are called trapeziums ...
Page 21
... side of one line , and on opposite sides of the other ; thus , ACE and ECB , or ACE and ACD , are adjacent angles . A D B 2o . OPPOSITE , or VERTICAL ANGLES , are those which lie on opposite sides of both lines ; thus , ACE and DCB , or ...
... side of one line , and on opposite sides of the other ; thus , ACE and ECB , or ACE and ACD , are adjacent angles . A D B 2o . OPPOSITE , or VERTICAL ANGLES , are those which lie on opposite sides of both lines ; thus , ACE and DCB , or ...
Page 25
... side EF : then B A D CE F will the triangles be equal in all their parts . For , let ABC be applied to DEF in such a manner that the angle B shall coincide with the angle E , the side BC taking the direction EF , and the side BA BOOK I. 25.
... side EF : then B A D CE F will the triangles be equal in all their parts . For , let ABC be applied to DEF in such a manner that the angle B shall coincide with the angle E , the side BC taking the direction EF , and the side BA BOOK I. 25.
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
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...