Elements of Geometry |
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Results 1-5 of 16
Page 5
... remain in the plane of the page , it will make a change in direction . If the motion be considered as having stopped when the line has arrived at the position AD , the change in direction is called an angle ; and A is called its vertex ...
... remain in the plane of the page , it will make a change in direction . If the motion be considered as having stopped when the line has arrived at the position AD , the change in direction is called an angle ; and A is called its vertex ...
Page 8
... remain in the plane of the page , and be revolved about A as a pivot , it will generate an angle by its change of direction ( § 7 ) . When the posi- tive direction AB has changed to that of AC , the angle BAC ( ≤ BAC ) will have been ...
... remain in the plane of the page , and be revolved about A as a pivot , it will generate an angle by its change of direction ( § 7 ) . When the posi- tive direction AB has changed to that of AC , the angle BAC ( ≤ BAC ) will have been ...
Page 24
... remain stationary ; and the segment PB will coincide with the segment PA , and must there- fore be equal to it . Q. E. D. Exercises . 1. Show that any point not on the perpendicular bisector will not be equally distant from the ...
... remain stationary ; and the segment PB will coincide with the segment PA , and must there- fore be equal to it . Q. E. D. Exercises . 1. Show that any point not on the perpendicular bisector will not be equally distant from the ...
Page 25
... the line AB , as the point B , in a complete rotation , will remain at a fixed distance from A , and will generate a circumference . Anything less than a complete rotation will generate an arc A CIRCLE . 25 A circle A circle.
... the line AB , as the point B , in a complete rotation , will remain at a fixed distance from A , and will generate a circumference . Anything less than a complete rotation will generate an arc A CIRCLE . 25 A circle A circle.
Page 27
... remain in coincidence ; and all the parts of one triangle ( perimeter , angles , and surface ) will coincide with the parts of the other . Q. E. D. 23. THEOREM . If two triangles have two angles and an included side of one equal to two ...
... remain in coincidence ; and all the parts of one triangle ( perimeter , angles , and surface ) will coincide with the parts of the other . Q. E. D. 23. THEOREM . If two triangles have two angles and an included side of one equal to two ...
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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.