Elements of Geometry and Trigonometry |
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Page 11
The rectangle , which has its angles right an- gles , without having its sides equal . The parallelogram , or rhomboid , which has its opposite sides parallel . The rhombus , or lozenge , which has its sides equal , without having its ...
The rectangle , which has its angles right an- gles , without having its sides equal . The parallelogram , or rhomboid , which has its opposite sides parallel . The rhombus , or lozenge , which has its sides equal , without having its ...
Page 31
... each of them will be a right angle ; a conclusion which sanctions the seventeenth Definition , whère the four angles of a quadrilateral are asserted to be right angles , in the case of the rectangle and the square . Cor . 2.
... each of them will be a right angle ; a conclusion which sanctions the seventeenth Definition , whère the four angles of a quadrilateral are asserted to be right angles , in the case of the rectangle and the square . Cor . 2.
Page 63
If the given angle is a right angle , the figure will be a rectangle ; if , in addition to this , the sides are equal , it will be a square . PROBLEM XIII . To find the centre of a given circle or arc .
If the given angle is a right angle , the figure will be a rectangle ; if , in addition to this , the sides are equal , it will be a square . PROBLEM XIII . To find the centre of a given circle or arc .
Page 70
Every parallelogram is equivalent to the rectangle which has the same base and the same altitude . · PROPOSITION II . THEOREM . Every triangle is half the parallelogram which has the same base and the same altitude .
Every parallelogram is equivalent to the rectangle which has the same base and the same altitude . · PROPOSITION II . THEOREM . Every triangle is half the parallelogram which has the same base and the same altitude .
Page 71
The rectangle ABCD will contain seven partial rectangles , while AEFD will contain four : hence the rectangle ABCD is to AEFD as 7 is to 4 , or as AB is to AE . The same reasoning may be applied to any other ratio equally with that of 7 ...
The rectangle ABCD will contain seven partial rectangles , while AEFD will contain four : hence the rectangle ABCD is to AEFD as 7 is to 4 , or as AB is to AE . The same reasoning may be applied to any other ratio equally with that of 7 ...
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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 |