Elements of Geometry and Trigonometry |
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Page 13
... which expresses the distance between the points A and B. The expression Ax ( B + C - D ) represents the product of A by the quantity B + C - D . If A + B were to be multiplied by A - B + C , the product would be indicated thus ...
... which expresses the distance between the points A and B. The expression Ax ( B + C - D ) represents the product of A by the quantity B + C - D . If A + B were to be multiplied by A - B + C , the product would be indicated thus ...
Page 30
... triangles in the figure ; in other words , as there are units in the number of sides diminished by two . Cor . 1. The sum of the angles in a quadrilateral is equal to two right angles multiplied by 4-2 , which amounts to four right ...
... triangles in the figure ; in other words , as there are units in the number of sides diminished by two . Cor . 1. The sum of the angles in a quadrilateral is equal to two right angles multiplied by 4-2 , which amounts to four right ...
Page 31
The sum of the angles of a pentagon is equal to two right angles multiplied by 5-2 , which amounts to six right angles : hence , when a pentagon is equiangular , each angle is equal to the fifth part of six right angles , or to g of one ...
The sum of the angles of a pentagon is equal to two right angles multiplied by 5-2 , which amounts to six right angles : hence , when a pentagon is equiangular , each angle is equal to the fifth part of six right angles , or to g of one ...
Page 35
Equimultiples of two quantities are the products which arise from multiplying the quantities by the same number : thus , m × A , m × B , are equimultiples of A and B , the common multiplier being m . 10. Two quantities A and B are said ...
Equimultiples of two quantities are the products which arise from multiplying the quantities by the same number : thus , m × A , m × B , are equimultiples of A and B , the common multiplier being m . 10. Two quantities A and B are said ...
Page 38
P , by multiplying both members of the equation by mxn . But m . M and n . Q , may be regarded as the two extremes , and n . N and m . P , as the means of a proportion ; hence , m . M : n . N :: m . P : n . Q. Let For , since And since ...
P , by multiplying both members of the equation by mxn . But m . M and n . Q , may be regarded as the two extremes , and n . N and m . P , as the means of a proportion ; hence , m . M : n . N :: m . P : n . Q. Let For , since And since ...
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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 |