## Elements of Geometry |

### From inside the book

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Page iii

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**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

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**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

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**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 .

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

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**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 ...### Other editions - View all

### 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