Elements of Geometry and Trigonometry |
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Page 5
... VII . Polyedrons , 142 BOOK VIII . The three round bodies , 166 BOOK IX . Of Spherical Triangles and Spherical Polygons , 186 · APPENDIX . The regular Polyedrons , 205 PLANE TRIGONOMETRY . Division of the Circumference , 207 General.
... VII . Polyedrons , 142 BOOK VIII . The three round bodies , 166 BOOK IX . Of Spherical Triangles and Spherical Polygons , 186 · APPENDIX . The regular Polyedrons , 205 PLANE TRIGONOMETRY . Division of the Circumference , 207 General.
Page 6
Adrien Marie Legendre Charles Davies. PLANE TRIGONOMETRY . Division of the Circumference , 207 General Ideas relating to the Trigonometrical Lines , · 208 Theorems and Formulas relating to the Sines , Cosines , Tan- gents , & c . 215 ...
Adrien Marie Legendre Charles Davies. PLANE TRIGONOMETRY . Division of the Circumference , 207 General Ideas relating to the Trigonometrical Lines , · 208 Theorems and Formulas relating to the Sines , Cosines , Tan- gents , & c . 215 ...
Page 41
... circumference , is called a diameter . From the definition of a circle , it follows that all the radii are equal ; that all the diameters are equal also , and each double of the radius . 3. A portion of the circumference , such as FHG ...
... circumference , is called a diameter . From the definition of a circle , it follows that all the radii are equal ; that all the diameters are equal also , and each double of the radius . 3. A portion of the circumference , such as FHG ...
Page 42
... circumference . CD is a tangent . The point M , where the tangent touches the circumference , is called the point of contact . M осо In like manner , two circumferences touch each other when they have but one point in common . 9. A ...
... circumference . CD is a tangent . The point M , where the tangent touches the circumference , is called the point of contact . M осо In like manner , two circumferences touch each other when they have but one point in common . 9. A ...
Page 43
... circumference of a circle in more than two points . For , if it could meet it in three , those three points would be equally distant from the centre ; and hence , there would be three equal straight lines drawn from the same point to ...
... circumference of a circle in more than two points . For , if it could meet it in three , those three points would be equally distant from the centre ; and hence , there would be three equal straight lines drawn from the same point to ...
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex