Elements of Geometry |
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Page xiii
... circumference ( depending on the context ) . Spherical triangle . The straight line segment PQ . The arc PQ . Quod Erat Demonstrandum ( which was to be proved ) . Q. E. F. , Quod Erat Faciendum ( which was to be done ) . : . , Hence ...
... circumference ( depending on the context ) . Spherical triangle . The straight line segment PQ . The arc PQ . Quod Erat Demonstrandum ( which was to be proved ) . Q. E. F. , Quod Erat Faciendum ( which was to be done ) . : . , Hence ...
Page xv
... circumference ( depending on the context ) . Spherical triangle . The straight line segment PQ . The arc PQ . Quod Erat Demonstrandum ( which was to be proved ) . Q. E. F. , Quod Erat Faciendum ( which was to be done ) . : . , Hence ...
... circumference ( depending on the context ) . Spherical triangle . The straight line segment PQ . The arc PQ . Quod Erat Demonstrandum ( which was to be proved ) . Q. E. F. , Quod Erat Faciendum ( which was to be done ) . : . , Hence ...
Page 25
... circumference . Ө FIG . 23 . B If the line AB rotate about A as a pivot , any point in 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 ...
... circumference . Ө FIG . 23 . B If the line AB rotate about A as a pivot , any point in 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 ...
Page 26
... circumference generated by the point B ; and a point at a greater distance from A than B is , will generate a circumference , lying entirely outside of the circumference generated by B. When AB rotates about A as a pivot , the change of ...
... circumference generated by the point B ; and a point at a greater distance from A than B is , will generate a circumference , lying entirely outside of the circumference generated by B. When AB rotates about A as a pivot , the change of ...
Page 29
... circumferences intersect in one point , they will intersect in two points . 2. Show that the same will be true if a straight line intersects a circumference . 3. Show that in the figure the △ CKB is congruent with the Д САВ . 4. Show ...
... circumferences intersect in one point , they will intersect in two points . 2. Show that the same will be true if a straight line intersects a circumference . 3. Show that in the figure the △ CKB is congruent with the Д САВ . 4. Show ...
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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.