Elements of Geometry and Trigonometry |
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Page 11
... parallelogram , or rhomboid , which has its opposite sides parallel . [ A The rhombus , or lozenge , which has its sides equal , without having its angles right angles . And lastly , the trapezoid , only two of whose sides are parallel ...
... parallelogram , or rhomboid , which has its opposite sides parallel . [ A The rhombus , or lozenge , which has its sides equal , without having its angles right angles . And lastly , the trapezoid , only two of whose sides are parallel ...
Page 32
... parallelogram , the opposite sides and angles are equal . D 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 AD ...
... parallelogram , the opposite sides and angles are equal . D 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 AD ...
Page 33
... parallelogram . Let ABCD be a quadrilateral , having the sides AB , CD , equal and parallel ; then will the figure be a parallelogram . A D B For , draw the diagonal DB , dividing the quadrilateral into two triangles . Then , since ...
... parallelogram . Let ABCD be a quadrilateral , having the sides AB , CD , equal and parallel ; then will the figure be a parallelogram . A D B For , draw the diagonal DB , dividing the quadrilateral into two triangles . Then , since ...
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 Let A and B be the given sides , and C the given angle . Draw the line DE = A ; at the point D , make ... parallelogram required . E For , the opposite sides are equal , by construction ; hence the figure is a ...
... parallelogram Let A and B be the given sides , and C the given angle . Draw the line DE = A ; at the point D , make ... parallelogram required . E For , the opposite sides are equal , by construction ; hence the figure is a ...
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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 convex surface Cosine 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 logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex