Elements of Geometry |
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Page 60
... increased , AB will be diminished by a like amount . When the position AD ' shall have been reached , the will be measured by the half of CD ' . E + Ai B אס " D " D " ! FIG . 72 . If a further movement be made , under the same condi ...
... increased , AB will be diminished by a like amount . When the position AD ' shall have been reached , the will be measured by the half of CD ' . E + Ai B אס " D " D " ! FIG . 72 . If a further movement be made , under the same condi ...
Page 70
... step we should come nearer the point . is said to be the LIMIT toward which we approach as we increase the number of decimal places in .6666 ..... 57. We know from § 19 that parallel lines are 70 ELEMENTS OF GEOMETRY .
... step we should come nearer the point . is said to be the LIMIT toward which we approach as we increase the number of decimal places in .6666 ..... 57. We know from § 19 that parallel lines are 70 ELEMENTS OF GEOMETRY .
Page 72
... increased commensurable area , which will be a nearer approximation to the area bh . This subdivision of the unit after the manner above indicated may be carried as far as we please , and a com- mensurable area be expressed in the terms ...
... increased commensurable area , which will be a nearer approximation to the area bh . This subdivision of the unit after the manner above indicated may be carried as far as we please , and a com- mensurable area be expressed in the terms ...
Page 122
... increasing the number of terms in the decimal . If a secant AB rotate about the point A as a pivot , B will approach ... increase in the number of terms . Let this problem be proposed : At what time between 2 and 3 o'clock will the hour ...
... increasing the number of terms in the decimal . If a secant AB rotate about the point A as a pivot , B will approach ... increase in the number of terms . Let this problem be proposed : At what time between 2 and 3 o'clock will the hour ...
Page 123
... increases , 180 ° as its limit . will decrease , and approaches n ... " If we have a series of numerical terms represented by a + bh + ch2 + dh3 + eh1 + the limit toward which this series will approach as we diminish the value of h will ...
... increases , 180 ° as its limit . will decrease , and approaches n ... " If we have a series of numerical terms represented by a + bh + ch2 + dh3 + eh1 + the limit toward which this series will approach as we diminish the value of h will ...
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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.