Elements of Geometry and Trigonometry |
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Page 58
Adrien Marie Legendre Charles Davies. PROBLEM II . At a given point , in a given straight line , to erect a perpendicu- lar to this line . Let A be the given point , and BC the given line . A c + Take the points B and C at equal dis ...
Adrien Marie Legendre Charles Davies. PROBLEM II . At a given point , in a given straight line , to erect a perpendicu- lar to this line . Let A be the given point , and BC the given line . A c + Take the points B and C at equal dis ...
Page 60
... given point , and BC the given line . From the point A as a centre , with a radius greater than the shortest dis- tance from A to BC , describe the in- definite arc EO ; from the point E as B E a centre , with the same radius , describe ...
... given point , and BC the given line . From the point A as a centre , with a radius greater than the shortest dis- tance from A to BC , describe the in- definite arc EO ; from the point E as B E a centre , with the same radius , describe ...
Page 104
... given square as a given line to a given line . Let AC be the given D , square , and M and N the given lines . Upon the indefinite line EG , take EF = M , and FG = N ; upon EG as a diameter describe A C. M N B a semicircle , and at the ...
... given square as a given line to a given line . Let AC be the given D , square , and M and N the given lines . Upon the indefinite line EG , take EF = M , and FG = N ; upon EG as a diameter describe A C. M N B a semicircle , and at 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