Elements of Geometry |
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Results 1-5 of 47
Page 1
... move it will generate a line ; it may move at a snail's pace , or it may move with the rapidity of thought . The position of one point with respect to another determines B 1.
... move it will generate a line ; it may move at a snail's pace , or it may move with the rapidity of thought . The position of one point with respect to another determines B 1.
Page 2
... will also be an infinite number of points . The rays of light from an arc - light or from a fixed star are fairly good illus- trations . FIG . 2 . 3. If a point move from an assumed position , 2 ELEMENTS OF GEOMETRY . Direction axiom.
... will also be an infinite number of points . The rays of light from an arc - light or from a fixed star are fairly good illus- trations . FIG . 2 . 3. If a point move from an assumed position , 2 ELEMENTS OF GEOMETRY . Direction axiom.
Page 3
... move with ever - changing direction , it will generate a curved line ; the law of change determining the character of the curve . As any fixed point has a fixed direction from another fixed point , only one straight line can join two ...
... move with ever - changing direction , it will generate a curved line ; the law of change determining the character of the curve . As any fixed point has a fixed direction from another fixed point , only one straight line can join two ...
Page 4
... move from position A to position B without change of direction , it will reach position B after having moved over a less distance , than if on the way it had made any changes of direction . We therefore say that the shortest distance ...
... move from position A to position B without change of direction , it will reach position B after having moved over a less distance , than if on the way it had made any changes of direction . We therefore say that the shortest distance ...
Page 6
... moved at pleasure without changing the relations existing between the parts which compose it . MORE ABOUT PLANES . 9. A plane may be made to pass through a given point : for a plane may be moved so as to cause any one of its points to ...
... moved at pleasure without changing the relations existing between the parts which compose it . MORE ABOUT PLANES . 9. A plane may be made to pass through a given point : for a plane may be moved so as to cause any one of its points to ...
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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.