Elements of Geometry and Trigonometry |
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Page 20
... angle D = A , the angle E = B , and the angle F = C . FB C For , if the angle D were greater than A , while the sides ED , DF , were equal to BA , AC , each to each , it would fol- low , by the last proposition , that the side EF must ...
... angle D = A , the angle E = B , and the angle F = C . FB C For , if the angle D were greater than A , while the sides ED , DF , were equal to BA , AC , each to each , it would fol- low , by the last proposition , that the side EF must ...
Page 32
Adrien Marie Legendre Charles Davies. angles. ,. is. equal. to. twice. as. many. right. angles. as. the. polygon. has sides , and consequently , equal to the sum of the interior angles plus the exterior angles . Taking from each the sum of ...
Adrien Marie Legendre Charles Davies. angles. ,. is. equal. to. twice. as. many. right. angles. as. the. polygon. has sides , and consequently , equal to the sum of the interior angles plus the exterior angles . Taking from each the sum of ...
Page 141
... equal or homologous angles are disposed in the same man- ner in the two solid angles , these angles will be equal , and they will coincide when applied the one to the other . We have already seen that the quadrilateral SAOC may be ...
... equal or homologous angles are disposed in the same man- ner in the two solid angles , these angles will be equal , and they will coincide when applied the one to the other . We have already seen that the quadrilateral SAOC may be ...
Contents
BOOK | 7 |
BOOK III | 41 |
Problems relating to the First and Third Books | 57 |
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Common terms and phrases
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