Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
From inside the book
Results 1-5 of 39
Page 7
... 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 of CONTENTS . vi.
... 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 of CONTENTS . vi.
Page 59
... DIAMETER is a straight line drawn through the centre and terminating in the circumference . All radii of the same circle are equal . All diameters are also equal , and each is double the radius . an 4. An ARC is any part of a ...
... DIAMETER is a straight line drawn through the centre and terminating in the circumference . All radii of the same circle are equal . All diameters are also equal , and each is double the radius . an 4. An ARC is any part of a ...
Page 60
... its circumference touches all of the sides of the polygon . OOD хо о POSTULATE . A circumference can be described from any point as a centre , and with any radius . PROPOSITION I. THEOREM . Any diameter divides the circle , 60 GEOMETRY .
... its circumference touches all of the sides of the polygon . OOD хо о POSTULATE . A circumference can be described from any point as a centre , and with any radius . PROPOSITION I. THEOREM . Any diameter divides the circle , 60 GEOMETRY .
Page 61
... diameter divides the circle , and also its circumference , into two equal parts . Let AEBF be a circle , and AB any diameter : then will it divide the circle and its circumference into two equal parts . A E For , let AFB be applied to ...
... diameter divides the circle , and also its circumference , into two equal parts . Let AEBF be a circle , and AB any diameter : then will it divide the circle and its circumference into two equal parts . A E For , let AFB be applied to ...
Page 62
... diameters AB and EF . ADB be applied to the semi - circle EGF , it will coincide with it , and the semi - circumference ADB will coincide with he semi - circumference EGF . But the part AMD is equal to the part ENG , by hypothesis ...
... diameters AB and EF . ADB be applied to the semi - circle EGF , it will coincide with it , and the semi - circumference ADB will coincide with he semi - circumference EGF . But the part AMD is equal to the part ENG , by hypothesis ...
Other editions - View all
Common terms and phrases
ABē 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