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 v
... Circle , and the Measurement of Angles , .... Problems relating to the First and Third Books ,. BOOK IV . Proportions of Figures - Measurement of Areas , Problems relating to the Fourth Book , BOOK V. Regular Polygons - Measurement of ...
... Circle , and the Measurement of Angles , .... Problems relating to the First and Third Books ,. BOOK IV . Proportions of Figures - Measurement of Areas , Problems relating to the Fourth Book , BOOK V. Regular Polygons - Measurement of ...
Page vii
... Circle , 116 To find the Diameter of a Circle , 116 To find the length of an Arc , 117 Area of a Circle , Area of a Sector , Area of a Segment , Area of a Circular Ring , 117 118 118 119 Area of the Surface of a Prism , Area of CONTENTS ...
... Circle , 116 To find the Diameter of a Circle , 116 To find the length of an Arc , 117 Area of a Circle , Area of a Sector , Area of a Segment , Area of a Circular Ring , 117 118 118 119 Area of the Surface of a Prism , Area of CONTENTS ...
Page 58
... to three or more proportions , and the corresponding terms of each be supposed equal , it will follow that , like powers of proportional quantities are proportionals . ВО ОК III . THE CIRCLE , AND THE MEASUREMENT 58 GEOMETRY .
... to three or more proportions , and the corresponding terms of each be supposed equal , it will follow that , like powers of proportional quantities are proportionals . ВО ОК III . THE CIRCLE , AND THE MEASUREMENT 58 GEOMETRY .
Page 59
... CIRCLE , AND THE MEASUREMENT OF ANGLES . DEFINITIONS . 1. A CIRCLE is a plane figure , bounded by a curved line , every point of which is equally distant from a point within , called the centre . The bounding line is called the cir ...
... CIRCLE , AND THE MEASUREMENT OF ANGLES . DEFINITIONS . 1. A CIRCLE is a plane figure , bounded by a curved line , every point of which is equally distant from a point within , called the centre . The bounding line is called the cir ...
Page 60
... circle , when all of its sides are tangent o the circumference . 14. A Circle is inscribed in a polygon , when its circumference touches all of the sides of the polygon . о © о POSTULATE . A circumference can be described from any point ...
... circle , when all of its sides are tangent o the circumference . 14. A Circle is inscribed in a polygon , when its circumference touches all of the sides of the polygon . о © о POSTULATE . A circumference can be described from any point ...
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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