Elements of Geometry and Trigonometry |
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Page 33
... quadrilateral ABCD is a parallelogram . PROPOSITION XXX . THEOREM . If two opposite sides of a quadrilateral are equal and parallel , the remaining sides will also be equal and parallel , and the figure will be a parallelogram . Let ...
... quadrilateral ABCD is a parallelogram . PROPOSITION XXX . THEOREM . If two opposite sides of a quadrilateral are equal and parallel , the remaining sides will also be equal and parallel , and the figure will be a parallelogram . Let ...
Page 110
... quadrilateral OPBA , they will coincide ; for the side OP is common ; the angle OPC = OPB , each being a right angle ... quadrilaterals will entirely coincide . The distance OD is therefore equal to AO ; and consequently the circle ...
... quadrilateral OPBA , they will coincide ; for the side OP is common ; the angle OPC = OPB , each being a right angle ... quadrilaterals will entirely coincide . The distance OD is therefore equal to AO ; and consequently the circle ...
Page 115
... quadrilateral PBfa , so that PB shall fall on PB . P 9 C d Then . since the angle dPB is C NH k D equal to the angle ... quadrilaterals will coincide , and the pointg will fall at f ; hence , Bg = Bf , dg = af , and the angle dgB ...
... quadrilateral PBfa , so that PB shall fall on PB . P 9 C d Then . since the angle dPB is C NH k D equal to the angle ... quadrilaterals will coincide , and the pointg will fall at f ; hence , Bg = Bf , dg = af , and the angle dgB ...
Contents
BOOK | 7 |
BOOK III | 41 |
Problems relating to the First and Third Books | 57 |
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adjacent altitude angle ACB 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 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 number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM 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