Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page ii
... Figures by Sight . Babies ' Entellectual Arithmetic - An Analysis of the Science of Numbers , with especial reference to Mental Training and Development . Davies ' New School Arithmetic - Analytical and Practical . Key to Babies ' New ...
... Figures by Sight . Babies ' Entellectual Arithmetic - An Analysis of the Science of Numbers , with especial reference to Mental Training and Development . Davies ' New School Arithmetic - Analytical and Practical . Key to Babies ' New ...
Page iii
... figure , that figure being 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 ...
... figure , that figure being 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 ...
Page v
... Figures - Measurement of Areas , Problems relating to the Fourth Book , BOOK V. Regular Polygons - Measurement of the Circle , 82 6899 59 93 129 136 BOOK VI . Planes , and Polyedral Angles , . 157 BOOK VII . Polyedrons , ... 178 ...
... Figures - Measurement of Areas , Problems relating to the Fourth Book , BOOK V. Regular Polygons - Measurement of the Circle , 82 6899 59 93 129 136 BOOK VI . Planes , and Polyedral Angles , . 157 BOOK VII . Polyedrons , ... 178 ...
Page 15
... FIGURE is a portion of a plane bounded by lines , either straight or curved . 18. A POLYGON is a plane figure bounded by straight lines . The bounding lines are called sides of the polygon . The broken line , made up of all the sides of ...
... FIGURE is a portion of a plane bounded by lines , either straight or curved . 18. A POLYGON is a plane figure bounded by straight lines . The bounding lines are called sides of the polygon . The broken line , made up of all the sides of ...
Page 46
... figure has sides , less four , divided by the number of angles . PROPOSITION XXVII . THEOREM . The sum of the exterior angles of a polygon is equal to four right angles . Let the sides of the polygon ABCDE be prolonged , in the same ...
... figure has sides , less four , divided by the number of angles . PROPOSITION XXVII . THEOREM . The sum of the exterior angles of a polygon is equal to four right angles . Let the sides of the polygon ABCDE be prolonged , in the same ...
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Common terms and phrases
AB² AC² altitude angle ACB apothem axis base and altitude base multiplied BC² bisect centre chord circumference coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diameter distance divided draw drawn edges equal bases equal in volume equal to AC equal to half equally distant Formula frustum given angle given line greater hence homologous hypothenuse included angle intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides opposite parallelogram perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION XI proved pyramid quadrant radii radius rectangle regular polygons right-angled triangle Scholium segment semi-circumference side BC similar sine slant height sphere spherical angle spherical excess spherical polygon spherical triangle straight line tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence