Elements of Geometry and Trigonometry |
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Page 45
... passes through two of the points just mentioned , will necessarily pass through the third , and be perpendicular to the chord . It follows , likewise , that the perpendicular raised from the middle of a chord passes through the centre ...
... passes through two of the points just mentioned , will necessarily pass through the third , and be perpendicular to the chord . It follows , likewise , that the perpendicular raised from the middle of a chord passes through the centre ...
Page 46
... pass through the three given points A , B , C. We have now shown that one circumference can always be made to pass through three given points , not in the same straight line we say farther , that but one can be described through them ...
... pass through the three given points A , B , C. We have now shown that one circumference can always be made to pass through three given points , not in the same straight line we say farther , that but one can be described through them ...
Page 110
... pass through the point D. By the same mode of reasoning , it might be shown , that the circle which passes through the three points B , C , D , will also pass through the point E ; and so of all the rest : hence the circle which passes ...
... pass through the point D. By the same mode of reasoning , it might be shown , that the circle which passes through the three points B , C , D , will also pass through the point E ; and so of all the rest : hence the circle which passes ...
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