Elements of Geometry and Trigonometry |
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Page 10
When a straight line AB meets another straight line CD , so as to make the adjacent angles BAC , BAD , equal to each other , each of these angles is called a right angle ; and the line AB is said to be perpendicular to CD . 11.
When a straight line AB meets another straight line CD , so as to make the adjacent angles BAC , BAD , equal to each other , each of these angles is called a right angle ; and the line AB is said to be perpendicular to CD . 11.
Page 11
A diagonal is a line which joins the vertices of two angles not adjacent to each other . Thus , AF , AE , AD , AC , are diagonals . [ E T 19. An equilateral polygon is one which has all its sides equal ; an equiangular polygon ...
A diagonal is a line which joins the vertices of two angles not adjacent to each other . Thus , AF , AE , AD , AC , are diagonals . [ E T 19. An equilateral polygon is one which has all its sides equal ; an equiangular polygon ...
Page 14
If one straight line meet another straight line , the sum of the two adjacent angles will be equal to two right angles . E Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to ...
If one straight line meet another straight line , the sum of the two adjacent angles will be equal to two right angles . E Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to ...
Page 15
If a straight line meet two other straight lines at a common point , making the sum of the two adjacent angles equal to two right angles , the two straight lines which are met , will form one and the same straight line .
If a straight line meet two other straight lines at a common point , making the sum of the two adjacent angles equal to two right angles , the two straight lines which are met , will form one and the same straight line .
Page 22
But if the adjacent angles BCA , BCF , are together equal to two right angles , ACF must be a straight line ( Prop . III . ) : from whence it follows , that between the same two points , A and F , two straight lines can be drawn , which ...
But if the adjacent angles BCA , BCF , are together equal to two right angles , ACF must be a straight line ( Prop . III . ) : from whence it follows , that between the same two points , A and F , two straight lines can be drawn , which ...
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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 |