Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 5
... Circle , and the Measurement of Angles ,. Problems relating to the First and Third Books ,. BOOK IV . PAGE . 13 20 50 50 59 82 888 Proportions of Figures - Measurement of Areas , 93 Problems relating to the Fourth Book , 129 BOOK V ...
... Circle , and the Measurement of Angles ,. Problems relating to the First and Third Books ,. BOOK IV . PAGE . 13 20 50 50 59 82 888 Proportions of Figures - Measurement of Areas , 93 Problems relating to the Fourth Book , 129 BOOK V ...
Page 7
... Circle , To find the Diameter of a Circle , To find the length of an Arc , Area of a Circle , Area of a Sector , Arca of a Segment , Area of a Circular Ring , .. 116 116 117 117 118 118 ... 119 ... Area of the Surface of a Prism , Area ...
... Circle , To find the Diameter of a Circle , To find the length of an Arc , Area of a Circle , Area of a Sector , Arca of a Segment , Area of a Circular Ring , .. 116 116 117 117 118 118 ... 119 ... Area of the Surface of a Prism , Area ...
Page 58
... proportions , and the corresponding terms of each be supposed equal , it will follow that , like powers of proportional quantities are proportionals . BOOK III . THE CIRCLE AND THE MEASUREMENT OF ANGLES 58 GEOMETRY .
... proportions , and the corresponding terms of each be supposed equal , it will follow that , like powers of proportional quantities are proportionals . BOOK III . THE CIRCLE AND THE MEASUREMENT OF ANGLES 58 GEOMETRY .
Page 59
From the Works of A. M. Legendre Adrien Marie Legendre. BOOK III . THE 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 ...
From the Works of A. M. Legendre Adrien Marie Legendre. BOOK III . THE 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 ...
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 . OOD хо о POSTULATE . A circumference can be described from any ...
... 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 . OOD хо о POSTULATE . A circumference can be described from any ...
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Common terms and phrases
AB² ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following