Elements of Geometry |
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Page 69
... unit of measure , and apply it to the distance . If the distance be a day's journey , we use the mile or the kilometre . If it be a distance , as in the figure , between points on the page of this book , we use inches or centimetres ...
... unit of measure , and apply it to the distance . If the distance be a day's journey , we use the mile or the kilometre . If it be a distance , as in the figure , between points on the page of this book , we use inches or centimetres ...
Page 70
... unit ; the fractional part being less than the distance by which we failed to reach B when using the entire unit . Again , the chances are , as infinity to one , that the new unit of measure will not fall on B. The subdividing of the unit ...
... unit ; the fractional part being less than the distance by which we failed to reach B when using the entire unit . Again , the chances are , as infinity to one , that the new unit of measure will not fall on B. The subdividing of the unit ...
Page 71
... unit of length , and the area bh is incommensu- rable with the square , having that unit for its side . But for convenience of numerical description or comparison some unit square is taken and applied to the rectangle . If it be large ...
... unit of length , and the area bh is incommensu- rable with the square , having that unit for its side . But for convenience of numerical description or comparison some unit square is taken and applied to the rectangle . If it be large ...
Page 72
... unit square , and should lay it off from C towards A as many times as possible , an extremity would fall within a unit's length of A , as at H. If we lay off the same unit of length from C toward D , as many times as possible , an ...
... unit square , and should lay it off from C towards A as many times as possible , an extremity would fall within a unit's length of A , as at H. If we lay off the same unit of length from C toward D , as many times as possible , an ...
Page 131
... unit . a13 = 1 .3183098877 .. 3.1415926386 ... 3.1415926672 ... A13 1 = .3183098848 ... The area of the circle lies between the areas of a , and A , and is nearer to either of them than they are to each other . n The same may be said of ...
... unit . a13 = 1 .3183098877 .. 3.1415926386 ... 3.1415926672 ... A13 1 = .3183098848 ... The area of the circle lies between the areas of a , and A , and is nearer to either of them than they are to each other . n The same may be said of ...
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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.