Elements of Geometry |
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Page iii
... taken chiefly from Lacroix's geometry , and forming properly a supplement to this arithmetic , is prefixed to the work under the title of an Introduction . The parts omitted in the former edition of this translation on spherical ...
... taken chiefly from Lacroix's geometry , and forming properly a supplement to this arithmetic , is prefixed to the work under the title of an Introduction . The parts omitted in the former edition of this translation on spherical ...
Page xiv
... taken for unity ; then A , B , C , D , will each represent a certain number of units , entire or frac- tional , commensurable or incommensurable , and the proportion among the lines A , B , C , D , becomes a proportion in numbers ...
... taken for unity ; then A , B , C , D , will each represent a certain number of units , entire or frac- tional , commensurable or incommensurable , and the proportion among the lines A , B , C , D , becomes a proportion in numbers ...
Page 1
... taken , the straight line joining those points lies wholly in that surface . 7. Every surface , which is neither a plane nor composed of planes , is a curved surface . 8. A solid is that which unites the three dimensions of ex- tension ...
... taken , the straight line joining those points lies wholly in that surface . 7. Every surface , which is neither a plane nor composed of planes , is a curved surface . 8. A solid is that which unites the three dimensions of ex- tension ...
Page 2
... taken together make the perimeter of the polygon . Fig . 7 . 14. The polygon of three sides is the most simple of these figures , and is called a triangle ; that of four sides is called a quadrilateral ; that of five sides , a pentagon ...
... taken together make the perimeter of the polygon . Fig . 7 . 14. The polygon of three sides is the most simple of these figures , and is called a triangle ; that of four sides is called a quadrilateral ; that of five sides , a pentagon ...
Page 4
... . A straight line CD ( fig . 17 ) , which meets another straight line AB , makes with it two adjacent angles ACD , BCD , which , taken together , are equal to two right angles . Demonstration . At the point C , let CE be PART FIRST. ...
... . A straight line CD ( fig . 17 ) , which meets another straight line AB , makes with it two adjacent angles ACD , BCD , which , taken together , are equal to two right angles . Demonstration . At the point C , let CE be PART FIRST. ...
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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