Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 39
Page 9
... four kinds of units , viz . Units of Length , Units of Surface , Units of Volume , and Units of Angular Measure ; and consequently , four species of quantity , viz . LINES , SURFACES , VOLUMES , and ANGLES . These are called GEOMETRICAL ...
... four kinds of units , viz . Units of Length , Units of Surface , Units of Volume , and Units of Angular Measure ; and consequently , four species of quantity , viz . LINES , SURFACES , VOLUMES , and ANGLES . These are called GEOMETRICAL ...
Page 15
... four sides , a quadrilateral ; one of five sides , a pentagon ; one of six sides , a hexagon ; one of seven sides , a hepta- gon ; one of eight sides , an octagon ; one of ten sides , a decagon ; one of twelve sides , a dodecagon , & c ...
... four sides , a quadrilateral ; one of five sides , a pentagon ; one of six sides , a hexagon ; one of seven sides , a hepta- gon ; one of eight sides , an octagon ; one of ten sides , a decagon ; one of twelve sides , a dodecagon , & c ...
Page 21
... four angles about the point of intersection , which have received different names , with respect to each other . are 1o . ADJACENT ANGLES those which lie on the same side of one line , and on opposite sides of the other ; thus , ACE and ...
... four angles about the point of intersection , which have received different names , with respect to each other . are 1o . ADJACENT ANGLES those which lie on the same side of one line , and on opposite sides of the other ; thus , ACE and ...
Page 22
... to each other . Cor . 3. The sum of all the angles ACB , BCD , DCE , ECF , FCA , that can be formed about a point , is equal to four right angles . B A F E · D For , if two lines be drawn through the point 22 GEOMETRY .
... to each other . Cor . 3. The sum of all the angles ACB , BCD , DCE , ECF , FCA , that can be formed about a point , is equal to four right angles . B A F E · D For , if two lines be drawn through the point 22 GEOMETRY .
Page 23
... four right angles , and it will also be equal to the sum of the given angles ( A. 9 ) . Hence , the sum of the given angles is equal to four right angles . PROPOSITION III . THEOREM . If two straight lines have two points in common ...
... four right angles , and it will also be equal to the sum of the given angles ( A. 9 ) . Hence , the sum of the given angles is equal to four right angles . PROPOSITION III . THEOREM . If two straight lines have two points in common ...
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...