Elements of Geometry and Trigonometry |
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Page 17
When two triangles have these three things equal , namely , the side ED = BĂ , the side DF - AC , and the angle D = A , the remaining three are also respectively equal , namely , the side EF = BC , the angle E = B , and the angle F = C ...
When two triangles have these three things equal , namely , the side ED = BĂ , the side DF - AC , and the angle D = A , the remaining three are also respectively equal , namely , the side EF = BC , the angle E = B , and the angle F = C ...
Page 24
... angled triangles have the hypothenuse and a side of the one , equal to the hypothenuse and a side of the other , each to each , the remaining parts will also be equal , each to each , and the triangles themselves will be equal .
... angled triangles have the hypothenuse and a side of the one , equal to the hypothenuse and a side of the other , each to each , the remaining parts will also be equal , each to each , and the triangles themselves will be equal .
Page 33
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 parallelogram . Let ABCD be a quadrilateral , having the sides AB , CD , equal and parallel ...
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 parallelogram . Let ABCD be a quadrilateral , having the sides AB , CD , equal and parallel ...
Page 37
If there be two sets of proportionals , having an ante- cedent and consequent of the first , equal to an antecedent and consequent of the second , the remaining terms will be propor- tional . PROPOSITION V. THEOREM .
If there be two sets of proportionals , having an ante- cedent and consequent of the first , equal to an antecedent and consequent of the second , the remaining terms will be propor- tional . PROPOSITION V. THEOREM .
Page 60
Draw the indefinite line DEF ; at any point as E , make the an- gle DEC equal to one of the given angles , and the angle ČEH equal to the other : the remaining angle HEF will be the third angle required ; be- D cause those three angles ...
Draw the indefinite line DEF ; at any point as E , make the an- gle DEC equal to one of the given angles , and the angle ČEH equal to the other : the remaining angle HEF will be the third angle required ; be- D cause those three angles ...
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Common terms and phrases
ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole
Bibliographic information
| Title | Elements of Geometry and Trigonometry |
| Author | Adrien Marie Legendre |
| Editor | Charles Davies |
| Translated by | David Brewster |
| Edition | 4 |
| Publisher | A.S. Barnes and Company, 1834 |
| Original from | the University of California |
| Digitized | 14 Oct 2010 |
| Length | 359 pages |
| Export Citation | BiBTeX EndNote RefMan |