Elements of Geometry and Trigonometry: Translated from the French of A.M. Legendre by Daniel Brewster : Revised and Adapted to the Course of Mathematical Instruction in the United States |
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Page 11
... parallelogram , or rhomboid , which has its opposite sides parallel . The rhombus , or lozenge , which has its sides equal , without having its angles right angles .コ And lastly , the trapezoid , only two of whose sides are parallel ...
... parallelogram , or rhomboid , which has its opposite sides parallel . The rhombus , or lozenge , which has its sides equal , without having its angles right angles .コ And lastly , the trapezoid , only two of whose sides are parallel ...
Page 32
... parallelogram , the opposite sides and angles are equal - D B Let ABCD be a parallelogram : then will AB = DC , AD = BC , A = C , and ADC = ABC . For , draw the diagonal BD . The triangles ABD , DBC , have a common side BD ; and since ...
... parallelogram , the opposite sides and angles are equal - D B Let ABCD be a parallelogram : then will AB = DC , AD = BC , A = C , and ADC = ABC . For , draw the diagonal BD . The triangles ABD , DBC , have a common side BD ; and since ...
Page 33
... parallelogram . PROPOSITION XXX . THEOREM . If two opposite sides of a quadrilateral are equal and parallel , the remaining sides will also be equal and parallel , and the figure will be a parallelogrum . Let ABCD be a quadrilateral ...
... parallelogram . PROPOSITION XXX . THEOREM . If two opposite sides of a quadrilateral are equal and parallel , the remaining sides will also be equal and parallel , and the figure will be a parallelogrum . Let ABCD be a quadrilateral ...
Page 62
... there would be but one solution . The problem would be impossible in all cases , if the side B were less than the perpen- dicular let fall from E on the line DF . PROBLEM XII . The adjacent sides of a parallelogram ,. 62 GEOMETRY .
... there would be but one solution . The problem would be impossible in all cases , if the side B were less than the perpen- dicular let fall from E on the line DF . PROBLEM XII . The adjacent sides of a parallelogram ,. 62 GEOMETRY .
Page 63
... parallelogram , with the angle which they contain , being given , to describe the parallelogram Let A and B be the given sides , and C the given angle . Draw the line DE = A ; at the = point D , make the angle EDF-- C ; take DF - B ...
... parallelogram , with the angle which they contain , being given , to describe the parallelogram Let A and B be the given sides , and C the given angle . Draw the line DE = A ; at the = point D , make the angle EDF-- C ; take DF - B ...
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Common terms and phrases
adjacent 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 equal angles equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater hence homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron PROBLEM Prop proportional 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