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 the ...
... 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 the ...
Page vii
... Circle , 116 To find the Diameter of a Circle , 116 To find the length of an Arc , Arca of a Circle , Area of a Sector , ..... Area of a Segment , .... Area of a Circular Ring ,. 117 117 118 118 119 PAGE . Area of the Surface of a Prism ...
... Circle , 116 To find the Diameter of a Circle , 116 To find the length of an Arc , Arca of a Circle , Area of a Sector , ..... Area of a Segment , .... Area of a Circular Ring ,. 117 117 118 118 119 PAGE . Area of the Surface of a Prism ...
Page 58
... three or more proportions , and the corresponding terms of each be supposed equal , it will follow that , like powers of proportional quantities are proportionals . ГНЕ CIRCLE AND 1. A CIRCLE is · BOOK III 58 GEOMETRY .
... three or more proportions , and the corresponding terms of each be supposed equal , it will follow that , like powers of proportional quantities are proportionals . ГНЕ CIRCLE AND 1. A CIRCLE is · BOOK III 58 GEOMETRY .
Page 59
Adapted to the Course of Mathematical Instruction in the United States Charles Davies. ГНЕ CIRCLE AND 1. A CIRCLE is · BOOK III . THE MEASUREMENT OF ANGLES DEFINITIONS . a plane figure , bounded by a curved line , every point of which is ...
Adapted to the Course of Mathematical Instruction in the United States Charles Davies. ГНЕ CIRCLE AND 1. A CIRCLE is · BOOK III . THE MEASUREMENT OF ANGLES DEFINITIONS . a plane figure , bounded by a curved line , every point of which is ...
Page 60
... circle , when all of its sides are tangent to the circumference . 14. A Circle is inscribed in a polygon , when its circumference touches all of the sides of the polygon . Ө о POSTULATE . A circumference can be described from any point ...
... circle , when all of its sides are tangent to the circumference . 14. A Circle is inscribed in a polygon , when its circumference touches all of the sides of the polygon . Ө о POSTULATE . A circumference can be described from any point ...
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Common terms and phrases
AB² AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin 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 polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence