Elements of Geometry |
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Page vi
... greater number of relations ; and algebra may be of great service in conducting us to our conclusions by the readiest and most easy method . This work is divided into eight sections , four of which treat of plane geometry , and four of ...
... greater number of relations ; and algebra may be of great service in conducting us to our conclusions by the readiest and most easy method . This work is divided into eight sections , four of which treat of plane geometry , and four of ...
Page vii
... greater than any rectilineal figure of the same perimeter . The first section of the second part contains the properties of planes and of solid angles . This part is very necessary for the understanding of solids , and of figures in ...
... greater than any rectilineal figure of the same perimeter . The first section of the second part contains the properties of planes and of solid angles . This part is very necessary for the understanding of solids , and of figures in ...
Page ix
... represented by A is equal to that represented by B , or A equal to B. A > B signifies that the magnitude represented by A exceeds that represented by B , or A greater than B. AB signifies A less than B. GEOM . b • 2A , 3A , & c . , ...
... represented by A is equal to that represented by B , or A equal to B. A > B signifies that the magnitude represented by A exceeds that represented by B , or A greater than B. AB signifies A less than B. GEOM . b • 2A , 3A , & c . , ...
Page 1
... greater or less , by which they depart from each other as to their position , is called an angle ; the point of meeting or intersection , A , is the vertex of the angle ; the lines AB , AC , are its sides . An angle is sometimes denoted ...
... greater or less , by which they depart from each other as to their position , is called an angle ; the point of meeting or intersection , A , is the vertex of the angle ; the lines AB , AC , are its sides . An angle is sometimes denoted ...
Page 2
... greater than a right angle , is an obtuse angle . 12. Two lines are said to be parallel ( fig . 5 ) , when , being situated in the same plane , and produced ever so far both ways , they do not meet . 13. A plane figure is a plane ...
... greater than a right angle , is an obtuse angle . 12. Two lines are said to be parallel ( fig . 5 ) , when , being situated in the same plane , and produced ever so far both ways , they do not meet . 13. A plane figure is a plane ...
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Common terms and phrases
ABC fig adjacent angles altitude angle ACB angle BAC 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 angles equiangular equilateral equivalent faces figure formed four right angles frustum GEOM given point gles greater hence homologous sides hypothenuse inclination intersection isosceles triangle JOHN CRERAR LIBRARY join less Let ABC let fall line AC mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced proposition radii radius ratio rectangle regular polygon right angles Scholium sector segment semicircle semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three angles triangle ABC triangular prism triangular pyramids vertex vertices whence