Elements of Geometry |
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Page vii
... called to errors . They will surely exist in the first writing , but the author hopes that the main features of the book will not be seriously injured thereby . BERKELEY , March 23 , 1895 . GEORGE C. EDWARDS . INTRODUCTION Definitions ...
... called to errors . They will surely exist in the first writing , but the author hopes that the main features of the book will not be seriously injured thereby . BERKELEY , March 23 , 1895 . GEORGE C. EDWARDS . INTRODUCTION Definitions ...
Page 1
... called a volume . That which separates a volume from excluded space is called surface , and does not partake of the character of the material , if there be any used . The surface that FIG . 1 . separates the hull of a ship from the ...
... called a volume . That which separates a volume from excluded space is called surface , and does not partake of the character of the material , if there be any used . The surface that FIG . 1 . separates the hull of a ship from the ...
Page 3
... called a straight line . Since a straight line is determined by direction , and two points determine direction , two points determine the position of a straight line . If separate straight lines have any point in common there can be but ...
... called a straight line . Since a straight line is determined by direction , and two points determine direction , two points determine the position of a straight line . If separate straight lines have any point in common there can be but ...
Page 5
... called an angle ; and A is called its vertex . The angle may be described as : the angle BAD 5 An angle.
... called an angle ; and A is called its vertex . The angle may be described as : the angle BAD 5 An angle.
Page 6
... called Plane Geometry . ( b ) That which relates to figures that do not lie in one plane only , and is called Solid Geometry . From now on until we arrive at § 105 , we shall be con- cerned with Plane Geometry . TRANSLATION AXIOM . A ...
... called Plane Geometry . ( b ) That which relates to figures that do not lie in one plane only , and is called Solid Geometry . From now on until we arrive at § 105 , we shall be con- cerned with Plane Geometry . TRANSLATION AXIOM . A ...
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Common terms and phrases
AB² altitude Analysis apothem approach auxiliary line axis base bisect called centre chord circumference circumscribed polygon coincide cone convex convex polygon corresponding lines curve cylinder decagon determine diagonals diameter dicular diedral distance ellipse equally distant figure Find the locus fixed point frustum Geometry given circle given line given point given segment greater Hence hypothenuse inscribed polygon interior angles isosceles joining lines be drawn middle point move NOTE number of sides oblique parabola parallel parallelogram parallelopiped pass perimeter perpen perpendicular bisector point of intersection position prism PROBLEM pyramids Q. E. D. Exercises quadrangle radii radius ratio re-entrant polygon rectangle regular polygon represent right angles right circular cone right triangle rotation secant Show side opposite similar sphere spherical triangle square subtended surface THEOREM three sides triangular prism triedral vertex vertices volume
Popular passages
Page 25 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 26 - If two triangles have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, the other homologous parts are also equal, and the triangles are equal.