Elements of Geometry |
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Page vi
The third section , entitled the proportions of figures , contains the measure of surfaces , their comparison , the properties of a right - angled triangle , those of equiangular triangles , of similar figures , & c .
The third section , entitled the proportions of figures , contains the measure of surfaces , their comparison , the properties of a right - angled triangle , those of equiangular triangles , of similar figures , & c .
Page vii
We shall be found fault with , perhaps , for having blended the properties of lines with those of surfaces ; but in this we have followed pretty nearly the example of Euclid , and this order cannot fail of being good , if the ...
We shall be found fault with , perhaps , for having blended the properties of lines with those of surfaces ; but in this we have followed pretty nearly the example of Euclid , and this order cannot fail of being good , if the ...
Page xiv
... multiplication of the lines B and C. The magnitudes A and B , in the proportion A : B :: C : D , may be of one kind , as lines , and the magnitudes C and D of > another kind , as surfaces ; still these magnitudes are xiv Introduction .
... multiplication of the lines B and C. The magnitudes A and B , in the proportion A : B :: C : D , may be of one kind , as lines , and the magnitudes C and D of > another kind , as surfaces ; still these magnitudes are xiv Introduction .
Page xv
another kind , as surfaces ; still these magnitudes are always to be regarded as numbers ; A and B will be expressed in linear units , C and D in superficial units , and the product A x D will be a number , as also the product B x C.
another kind , as surfaces ; still these magnitudes are always to be regarded as numbers ; A and B will be expressed in linear units , C and D in superficial units , and the product A x D will be a number , as also the product B x C.
Page 1
A surface is that which has length and breadth , without thickness . 6. A plane is a surface in which , any two points being taken , the straight line joining those points lies wholly in that surface . 7. Every surface which is neither ...
A surface is that which has length and breadth , without thickness . 6. A plane is a surface in which , any two points being taken , the straight line joining those points lies wholly in that surface . 7. Every surface which is neither ...
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Common terms and phrases
ABC fig ABCD adjacent altitude applied base called centre chord circ circle circumference circumscribed common cone consequently construction contained convex surface Corollary cylinder Demonstration described diameter difference distance divided draw drawn entire equal equivalent example extremities faces feet figure follows formed four give given greater half hence inclination inscribed intersection isosceles join less let fall manner mean measure meet moreover multiplied namely opposite parallel parallelogram parallelopiped pass perimeter perpendicular plane plane angles polyedron polygon prism PROBLEM produced proportional proposition pyramid radii radius ratio reason rectangle regular polygon respect right angles Scholium sector segment similar solid angle Solution sphere spherical square straight line suppose surface taken tangent THEOREM third triangle ABC vertex vertices whence
Bibliographic information
| Title | Elements of Geometry |
| Author | Adrien Marie Legendre |
| Translated by | John Farrar |
| Publisher | Hilliard, Gray, and Company, 1833 |
| Original from | University of Chicago |
| Digitized | 11 Apr 2012 |
| Length | 235 pages |
| Export Citation | BiBTeX EndNote RefMan |