Elements of Geometry and Trigonometry |
From inside the book
Page 11
The parallelogram , or rhomboid , which has its opposite sides parallel . 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 ...
The parallelogram , or rhomboid , which has its opposite sides parallel . 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
In every parallelogram , the opposite sides and angles are equal . Let ABCD be a parallelogram : then will AB = DC , AD = BC , A = C , and ADC = ABC . PROPOSITION XXVIII . THEOREM . B For , draw the diagonal BD .
In every parallelogram , the opposite sides and angles are equal . Let ABCD be a parallelogram : then will AB = DC , AD = BC , A = C , and ADC = ABC . PROPOSITION XXVIII . THEOREM . B For , draw the diagonal BD .
Page 33
For a like reason AB is parallel to CD therefore the quadrilateral ABCD is a parallelogram . : PROPOSITION XXX . THEOREM . If two opposite sides of a quadrilateral are equal and parallel , the remaining sides will also be equal and ...
For a like reason AB is parallel to CD therefore the quadrilateral ABCD is a parallelogram . : PROPOSITION XXX . THEOREM . If two opposite sides of a quadrilateral are equal and parallel , the remaining sides will also be equal and ...
Page 62
... and there would be but one solution . The problem would be impossible in all cases , if the side B were less than the perpendicular let fall from E on the line DF . PROBLEM XII . The adjacent sides of a parallelogram , 02 GEOMETRY .
... and there would be but one solution . The problem would be impossible in all cases , if the side B were less than the perpendicular let fall from E on the line DF . PROBLEM XII . The adjacent sides of a parallelogram , 02 GEOMETRY .
Page 63
The adjacent sides of a parallelogram , with the angle which they contain , being given , to describe the parallelogram T 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 ...
The adjacent sides of a parallelogram , with the angle which they contain , being given , to describe the parallelogram T 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 ...
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Common terms and phrases
ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole
Bibliographic information
| Title | Elements of Geometry and Trigonometry DAVIES' COURSE OF MATHEMATICS |
| Author | Adrien Marie Legendre |
| Editor | Charles Davies |
| Translated by | David Brewster |
| Publisher | A.S. Barnes and Company, 1839 |
| Original from | Harvard University |
| Digitized | 14 Jan 2008 |
| Length | 359 pages |
| Export Citation | BiBTeX EndNote RefMan |