Elements of Geometry |
From inside the book
Results 1-5 of 74
Page vi
... problems . Logic , which is the science of orderly thinking , requires for its proper study , a development of mind beyond that which is necessary for the student of the ordinary Geometry . Geometry , however , does admirably illustrate ...
... problems . Logic , which is the science of orderly thinking , requires for its proper study , a development of mind beyond that which is necessary for the student of the ordinary Geometry . Geometry , however , does admirably illustrate ...
Page x
... tangents . 103 CHAPTER VIII . Inscribed and circumscribed polygons Variable and limit Limit axioms Area of a circle . PROBLEMS 117 · 121 124 126 137 Intersections of planes Perpendiculars to planes CHAPTER IX . Parallels X CONTENTS .
... tangents . 103 CHAPTER VIII . Inscribed and circumscribed polygons Variable and limit Limit axioms Area of a circle . PROBLEMS 117 · 121 124 126 137 Intersections of planes Perpendiculars to planes CHAPTER IX . Parallels X CONTENTS .
Page xii
... of a parabola Particular cases . The ellipse . Line relations Area of an ellipse Particular cases . The hyperbola Line relations Particular cases . PROBLEMS CHAPTER XIV . The parabola Line relations Area of a xii CONTENTS .
... of a parabola Particular cases . The ellipse . Line relations Area of an ellipse Particular cases . The hyperbola Line relations Particular cases . PROBLEMS CHAPTER XIV . The parabola Line relations Area of a xii CONTENTS .
Page xiv
... A , 11 , VA. CHAPTER XIV . The parabola Line relations Area of a parabola Particular cases . The ellipse . Line relations Area of an ellipse Particular cases . The hyperbola Line relations Particular cases . PROBLEMS . xii CONTENTS .
... A , 11 , VA. CHAPTER XIV . The parabola Line relations Area of a parabola Particular cases . The ellipse . Line relations Area of an ellipse Particular cases . The hyperbola Line relations Particular cases . PROBLEMS . xii CONTENTS .
Page xviii
... problems . A theorem is a general statement of relations . These relations are established by a course of reasoning . A problem is a demand that a construction be made ; that certain relations be established ; or that relations ...
... problems . A theorem is a general statement of relations . These relations are established by a course of reasoning . A problem is a demand that a construction be made ; that certain relations be established ; or that relations ...
Contents
5 | |
12 | |
21 | |
25 | |
28 | |
35 | |
42 | |
46 | |
103 | |
117 | |
131 | |
173 | |
175 | |
181 | |
188 | |
205 | |
51 | |
54 | |
68 | |
69 | |
75 | |
83 | |
89 | |
92 | |
96 | |
217 | |
227 | |
234 | |
241 | |
249 | |
262 | |
271 | |
281 | |
Other editions - View all
Common terms and phrases
ABē 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.