Elements of Geometry and Trigonometry |
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Page 45
... middle point D , of the chord AB , and the middle point G , of the arc subtended by this chord , are three points of the same line perpendicular to the chord . But two points are sufficient to determine the position of a straight line ...
... middle point D , of the chord AB , and the middle point G , of the arc subtended by this chord , are three points of the same line perpendicular to the chord . But two points are sufficient to determine the position of a straight line ...
Page 114
... middle point of the arc AB , apply the tangent GH , which will be parallel to AB ( Book III . Prop . X. ) ; do the same at the middle point of each of the arcs BC , CD , & c .; these tangents , I by their intersections , will form the ...
... middle point of the arc AB , apply the tangent GH , which will be parallel to AB ( Book III . Prop . X. ) ; do the same at the middle point of each of the arcs BC , CD , & c .; these tangents , I by their intersections , will form the ...
Page 259
... middle part . Hence , when there are three of the circular parts under consideration , the middle part is that one of them to which both of the others are adjacent , or from which both of them are separated . In the former case the ...
... middle part . Hence , when there are three of the circular parts under consideration , the middle part is that one of them to which both of the others are adjacent , or from which both of them are separated . In the former case the ...
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