Elements of Geometry |
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Page iii
... plane figures and the other of solids ; and the subdivisions of each part are denominated sections . As a knowledge of algebraical signs and the theory of proportions is necessary to the understanding of this treatise , a brief ...
... plane figures and the other of solids ; and the subdivisions of each part are denominated sections . As a knowledge of algebraical signs and the theory of proportions is necessary to the understanding of this treatise , a brief ...
Page vi
... plane geometry , and four of solid geometry . The first section , entitled first principles , & c . contains the properties of straight lines which meet those of perpendiculars , the theorem upon the sum of the angles of a triangle ...
... plane geometry , and four of solid geometry . The first section , entitled first principles , & c . contains the properties of straight lines which meet those of perpendiculars , the theorem upon the sum of the angles of a triangle ...
Page vii
... planes and of solid angles . This part is very necessary for the understanding of solids and of figures in which different planes are considered . We have endeavoured to render it more clear and more rigorous than it is in common works ...
... planes and of solid angles . This part is very necessary for the understanding of solids and of figures in which different planes are considered . We have endeavoured to render it more clear and more rigorous than it is in common works ...
Page xvi
Adrien Marie Legendre. 1 . of e Eness . 2 . TH has 3 . to and 4 . of str T one 5 . thick 6 . the st 7 . plane 8 . Lensic 9 . tity , othe or ine are i At tex , letter Ge ELEMENTS OF GEOMETRY . Definitions and Preliminary Remarks . 1.
Adrien Marie Legendre. 1 . of e Eness . 2 . TH has 3 . to and 4 . of str T one 5 . thick 6 . the st 7 . plane 8 . Lensic 9 . tity , othe or ine are i At tex , letter Ge ELEMENTS OF GEOMETRY . Definitions and Preliminary Remarks . 1.
Page 1
... plane nor composed of planes , is a curved surface . 8. A solid is that which unites the three dimensions of extension . 9. When two straight lines , AB , AC , ( fig . 2 ) , meet , the quan- Fig . 2 . tity , whether greater or less , by ...
... plane nor composed of planes , is a curved surface . 8. A solid is that which unites the three dimensions of extension . 9. When two straight lines , AB , AC , ( fig . 2 ) , meet , the quan- Fig . 2 . tity , whether greater or less , by ...
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Common terms and phrases
ABC fig ABCD adjacent altitude angle ACB applied base called centre chord circ circle circumference circumscribed common cone consequently considered construction contained convex surface Corollary cylinder Demonstration described diameter difference distance divided draw drawn entire equal equivalent example extremities faces figure follows formed four give given greater half hence homologous sides inclination inscribed 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 proportional proposition pyramid radii radius ratio reason rectangle regular polygon respect right angles Scholium sector segment sides similar solid angle Solution sphere spherical square straight line suppose surface taken THEOREM third triangle ABC triangular pyramids vertex vertices whence
Bibliographic information
| Title | Elements of Geometry |
| Author | Adrien Marie Legendre |
| Edition | 2 |
| Publisher | Hilliard and Metcalf, 1825 |
| Original from | the University of Virginia |
| Digitized | 29 Oct 2010 |
| Length | 224 pages |
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