Elements of Geometry and Trigonometry |
From inside the book
Page 17
When two triangles have these three things equal , namely , the side ED = BA , 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 = BA , 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
... each to each , the remaining parts will also be equal , each to each , and the triangles themselves will be equal . A In the two right angled triangles BAC , EDF , let the hypothenuse AC = DF , and the side BA = ED : then will the ...
... each to each , the remaining parts will also be equal , each to each , and the triangles themselves will be equal . A In the two right angled triangles BAC , EDF , let the hypothenuse AC = DF , and the side BA = ED : then will the ...
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 antecedent and consequent of the first , equal to an antecedent and consequent of the second , the remaining terms will be proportional . PROPOSITION V. THEOREM .
If there be two sets of proportionals , having an antecedent and consequent of the first , equal to an antecedent and consequent of the second , the remaining terms will be proportional . PROPOSITION V. THEOREM .
Page 60
... at any point as E , make the angle DEC equal to one of the given angles , and the angle CEH equal to the other : the remaining angle HEF will be the third angle required ; be- D cause those three angles are PROBLEM VIII .
... at any point as E , make the angle DEC equal to one of the given angles , and the angle CEH equal to the other : the remaining angle HEF will be the third angle required ; be- D cause those three angles are PROBLEM VIII .
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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 |