Elements of Geometry and Trigonometry |
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Page 10
-B The angle is sometimes designated simply by the letter at the vertex A ; sometimes by the three letters BAC , or CAB , the letter at the vertex being always placed in the middle . Angles , like all other quantities , are susceptible ...
-B The angle is sometimes designated simply by the letter at the vertex A ; sometimes by the three letters BAC , or CAB , the letter at the vertex being always placed in the middle . Angles , like all other quantities , are susceptible ...
Page 20
Let the side BA be equal to the side AC ; then will the angle C be equal to the angle B. A For , join the vertex A , and D the middle point of the base BC . Then , the triangles BAD , DAC , will have all the sides of the one equal to ...
Let the side BA be equal to the side AC ; then will the angle C be equal to the angle B. A For , join the vertex A , and D the middle point of the base BC . Then , the triangles BAD , DAC , will have all the sides of the one equal to ...
Page 23
If from the middle point of a straight line , a perpendicular be drawn to this line ; 1st , Every point of the perpendicular will be equally distant from the extremities of the line . 2d , Every point , without the perpendicular ...
If from the middle point of a straight line , a perpendicular be drawn to this line ; 1st , Every point of the perpendicular will be equally distant from the extremities of the line . 2d , Every point , without the perpendicular ...
Page 24
A Let AB be the given straight line , C the oF 15.1 middle point , and ECF the perpendicular.qook onil First , Since AC = CB , the two oblique lines oup AD , DB , are equally distant from the perpen- dicular , and therefore equal ( Prop ...
A Let AB be the given straight line , C the oF 15.1 middle point , and ECF the perpendicular.qook onil First , Since AC = CB , the two oblique lines oup AD , DB , are equally distant from the perpen- dicular , and therefore equal ( Prop ...
Page 25
... 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 EGF , perpendicular to EC . It will also be perpendicular to BD .
... 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 EGF , perpendicular to EC . It will also be perpendicular to BD .
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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 |