Elements of Geometry and Trigonometry |
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Page 207
Adrien Marie Legendre Charles Davies. APPLICATION OF ALGEBRA . TO THE SOLUTION OF GEOMETRICAL PROBLEMS . A problem is a question which requires a solution . A geo- metrical problem is one , in which certain parts of a geometri- cal ...
Adrien Marie Legendre Charles Davies. APPLICATION OF ALGEBRA . TO THE SOLUTION OF GEOMETRICAL PROBLEMS . A problem is a question which requires a solution . A geo- metrical problem is one , in which certain parts of a geometri- cal ...
Page 212
... PROBLEM XX . To determine a triangle , having given the base , the perpen- dicular and the rectangle of the two sides . PROBLEM XXI . To determine a triangle , having given the lengths of three lines drawn from the three angles to the ...
... PROBLEM XX . To determine a triangle , having given the base , the perpen- dicular and the rectangle of the two sides . PROBLEM XXI . To determine a triangle , having given the lengths of three lines drawn from the three angles to the ...
Page 291
... PROBLEM X. To find the convex surface of a cone . RULE . - Multiply the circumference of the base by half the side ( Book VIII . Prop . III . ) : to which add the area of the base , when the entire surface is required . 1. Required the ...
... PROBLEM X. To find the convex surface of a cone . RULE . - Multiply the circumference of the base by half the side ( Book VIII . Prop . III . ) : to which add the area of the base , when the entire surface is required . 1. Required 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