Elements of Geometry and Trigonometry |
From inside the book
Results 6-10 of 39
Page 122
... determined except approximatively ; but the approximation has been car- ried so far , that a knowledge of the exact ratio would afford no real advantage whatever beyond that of the approximate ratio . Accordingly , this problem , which ...
... determined except approximatively ; but the approximation has been car- ried so far , that a knowledge of the exact ratio would afford no real advantage whatever beyond that of the approximate ratio . Accordingly , this problem , which ...
Page 124
... determined ; this new proportion will serve for determining B ' , and give us B ' 2A.B ; A + A ' and thus by means of the ... determine the poly- gons having twice the number of sides . We have only in this case to put A = 2.8284271 , B ...
... determined ; this new proportion will serve for determining B ' , and give us B ' 2A.B ; A + A ' and thus by means of the ... determine the poly- gons having twice the number of sides . We have only in this case to put A = 2.8284271 , B ...
Page 127
... determine the position of a plane . Cor . 2. Hence also two parallels E / AB , CD , determine the position of a plane ; for , drawing the secant EF , the plane of the two straight lines AE , EF , is that of the parallels AB , CD ...
... determine the position of a plane . Cor . 2. Hence also two parallels E / AB , CD , determine the position of a plane ; for , drawing the secant EF , the plane of the two straight lines AE , EF , is that of the parallels AB , CD ...
Page 157
... determined . Owing to this difficulty the problem of the duplication of the cube became celebrated among the ancient geometers , as well as that of the trisection of an angle , which is nearly of the same species . The solutions of ...
... determined . Owing to this difficulty the problem of the duplication of the cube became celebrated among the ancient geometers , as well as that of the trisection of an angle , which is nearly of the same species . The solutions of ...
Page 175
... determine the position of a plane . But if the two given points were at the extremities of a diameter , these two points and the centre would then lie in one straight line , and an infinite number of great circles might be made to pass ...
... determine the position of a plane . But if the two given points were at the extremities of a diameter , these two points and the centre would then lie in one straight line , and an infinite number of great circles might be made to pass ...
Other editions - View all
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