Elements of Geometry |
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Page 3
... pass through the position of every point lying in the same direction ( § 2 ) , it will generate what is called a straight line . Since a straight line is determined by direction , and two points determine direction , two points ...
... pass through the position of every point lying in the same direction ( § 2 ) , it will generate what is called a straight line . Since a straight line is determined by direction , and two points determine direction , two points ...
Page 6
... pass through a given point : for a plane may be moved so as to cause any one of its points to coincide with the given point . Any infinite number of planes may be made to pass 6 ELEMENTS OF GEOMETRY . Figures Translation axiom.
... pass through a given point : for a plane may be moved so as to cause any one of its points to coincide with the given point . Any infinite number of planes may be made to pass 6 ELEMENTS OF GEOMETRY . Figures Translation axiom.
Page 7
... pass through a point , any line which con- tains the given point , and lies in the plane , may , by motion of the plane , be brought to pass through a second point , located anywhere . Thus we see that a plane may be passed through any ...
... pass through a point , any line which con- tains the given point , and lies in the plane , may , by motion of the plane , be brought to pass through a second point , located anywhere . Thus we see that a plane may be passed through any ...
Page 14
... pass through any point in the plane , as P ; when it does so pass , there will be at least one perpendicular to 14 ELEMENTS OF GEOMETRY . Perpendiculars.
... pass through any point in the plane , as P ; when it does so pass , there will be at least one perpendicular to 14 ELEMENTS OF GEOMETRY . Perpendiculars.
Page 15
George Cunningham Edwards. pass , there will be at least one perpendicular to the line AB through the point P. ( b ) Let BC represent the given line , and FA , a per- pendicular through A. If any other straight line could be drawn ...
George Cunningham Edwards. pass , there will be at least one perpendicular to the line AB through the point P. ( b ) Let BC represent the given line , and FA , a per- pendicular through A. If any other straight line could be drawn ...
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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.