Elements of Geometry and Trigonometry |
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Page 192
... quadrant : hence the point E is removed the length of a quadrant from each of the points A and C ; hence , it is the pole of the arc AC ( Prop . V. Cor . 3. ) . It might be shown , by the same method , that D is the pole of the arc BC ...
... quadrant : hence the point E is removed the length of a quadrant from each of the points A and C ; hence , it is the pole of the arc AC ( Prop . V. Cor . 3. ) . It might be shown , by the same method , that D is the pole of the arc BC ...
Page 219
... quadrant to N , the tangent of the arc ADN'N will be the line AV : hence , the tangents of all arcs which terminate in the fourth quadrant are negative . The cotangents are estimated from the line ED . Those which lie on the side DS are ...
... quadrant to N , the tangent of the arc ADN'N will be the line AV : hence , the tangents of all arcs which terminate in the fourth quadrant are negative . The cotangents are estimated from the line ED . Those which lie on the side DS are ...
Page 223
... quadrants and negative in the 2nd and 3rd . Since the cosecant is equal to radius square divided by the sine , it follows that its sign will depend on the algebraic sign of the sine hence , it will be positive in the 1st and 2nd quadrants ...
... quadrants and negative in the 2nd and 3rd . Since the cosecant is equal to radius square divided by the sine , it follows that its sign will depend on the algebraic sign of the sine hence , it will be positive in the 1st and 2nd quadrants ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn 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 number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex