Elements of Geometry and Trigonometry |
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Page 11
Among the quadrilaterals , we distinguish : The square , which has its sides equal , and its an- gles right - angles . The rectangle , which has its angles right an- gles , without having its sides equal .
Among the quadrilaterals , we distinguish : The square , which has its sides equal , and its an- gles right - angles . The rectangle , which has its angles right an- gles , without having its sides equal .
Page 14
The angle ACD is the sum of the an- A gles ACE , ECD : therefore ACD + DCB is the sum of the three angles ACE , ECD , DCB : but the first of these three angles is a right angle , and the other two make up the right angle ECB ; hence ...
The angle ACD is the sum of the an- A gles ACE , ECD : therefore ACD + DCB is the sum of the three angles ACE , ECD , DCB : but the first of these three angles is a right angle , and the other two make up the right angle ECB ; hence ...
Page 25
Let the two lines EC , BD , meet the third line BA , making the an- gles BAC , ABD , together equal to two right angles : then the lines EC , BD , will be parallel . B E A C F D From G , the middle point of BA , draw the straight line ...
Let the two lines EC , BD , meet the third line BA , making the an- gles BAC , ABD , together equal to two right angles : then the lines EC , BD , will be parallel . B E A C F D From G , the middle point of BA , draw the straight line ...
Page 26
Let the parallels AB , CD , be met by the secant line FE : then will ŎGB + GOD , or OGA + GOC , be equal to two right an- gles . For , if OGB + GOD be not equal to two right angles , let IGH be drawn ...
Let the parallels AB , CD , be met by the secant line FE : then will ŎGB + GOD , or OGA + GOC , be equal to two right an- gles . For , if OGB + GOD be not equal to two right angles , let IGH be drawn ...
Page 27
Let the line EF meet the two lines CD , IH , making the sum of the interior angles OGH , GOD , less than two right an- gles : then will IH and CD meet if sufficiently produced . For , if they do not meet they are parallel ( Def.12 . ) .
Let the line EF meet the two lines CD , IH , making the sum of the interior angles OGH , GOD , less than two right an- gles : then will IH and CD meet if sufficiently produced . For , if they do not meet they are parallel ( Def.12 . ) .
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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 |