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 propor- tions 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 propor- tions 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 pro- perties 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 pro- perties 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 ex- tension . 9. When two straight lines , AB , AC , ( fig . 2 ) , meet , the quan- Fig . 2 . tity , whether greater or less ...
... plane nor composed of planes , is a curved surface . 8. A solid is that which unites the three dimensions of ex- tension . 9. When two straight lines , AB , AC , ( fig . 2 ) , meet , the quan- Fig . 2 . tity , whether greater or less ...
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Common terms and phrases
ABC fig adjacent angles altitude angle ACB angle BAD base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal and parallel equiangular equilateral equivalent faces figure four right angles frustum Geom gles greater hence homologous sides hypothenuse inclination inscribed circle isosceles join less let fall line AC manner mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism proposition pyramid S-ABC quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium segment semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three plane angles triangle ABC triangular prism triangular pyramids vertex vertices whence