Elements of Geometry |
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Page x
... distance . 69 Area 71 Proportional division Medians F8 76 83 CHAPTER VI . Squares on segments . 87 Squares on the sides of triangles 89 Areas of similar triangles . 95 Areas of similar polygons . 96 Metrical relations of parts of a ...
... distance . 69 Area 71 Proportional division Medians F8 76 83 CHAPTER VI . Squares on segments . 87 Squares on the sides of triangles 89 Areas of similar triangles . 95 Areas of similar polygons . 96 Metrical relations of parts of a ...
Page 2
... distance in the direction of ( 4 ) from ( B ) . If ( +6 ) represents six years to come , ( -4 ) will represent four ... distances from the given point . In each opposite direction there will also be an infinite number of points . The ...
... distance in the direction of ( 4 ) from ( B ) . If ( +6 ) represents six years to come , ( -4 ) will represent four ... distances from the given point . In each opposite direction there will also be an infinite number of points . The ...
Page 3
... 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 points . 4. Our idea of distance involves the ideas of motion DEFINITIONS . 3.
... 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 points . 4. Our idea of distance involves the ideas of motion DEFINITIONS . 3.
Page 4
... distance . In equal times the more rapid of two motions will cover the greater distance . If a point move from position A to position B without change of direction , it will reach position B after having moved over a less distance ...
... distance . In equal times the more rapid of two motions will cover the greater distance . If a point move from position A to position B without change of direction , it will reach position B after having moved over a less distance ...
Page 6
... distances AB or AD have nothing whatever to do with the magnitude of the angle ; it is purely a matter of direction . FIGURES . 8. Volumes , surfaces , lines , angles , and points , or any combination of them that we may make ...
... distances AB or AD have nothing whatever to do with the magnitude of the angle ; it is purely a matter of direction . FIGURES . 8. Volumes , surfaces , lines , angles , and points , or any combination of them that we may make ...
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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.