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XXXII. Having located a tangent, A B, intersecting a

curve, C D, from the concave side, to find the

point E on said curve, at which to begin a

curve of given radius which shall merge in

the located tangent

102

XXXIII. Having located a tangent, A B, intersecting a

curve, C D, from the convex side, to find the

point E on said curve at which to begin a curve

of given radius wbich shall merge in the

located tangent

103

XXXIV. To locate a Y .

103

XXXV. To locate a tangent to a curve from an outside

fixed point

107

XXXVI. To substitute a curve of given radius for a tan-

gent connecting two curves

108

XXXVII. To run a tangent to two curves already located. 109

TRACK PROBLEMS.

XXXVIII. Reversed curves

115

XXXIX. To connect two parallel tangents by a reversed

curve having equal radii

115

XL. To connect two parallel tangents by a reversed

curve having uneqnal radii

117

XLI. A reversed curve having unequal angles

119

XLII. A reversed curve between fixed points

120

XLIII. To connect two divergent tangents by a reversed

123

XLIV. To shift a P. R. C. so that the terminal tangent

shall merge in a given tangent

125

XLV. To pass a curve through a fixed point, the angle

of intersection being given

127

XLVI. Frogs and switches

129

To find the radius of a turnout curve, the frog

angles, and the distances from the toe of switch

to the frog points

129

To find the angle of switch-rail with main track. 130

To find the distance from toe of switch to point

of main frog

130

To find the radius of outer rail of turnout curve, 131

To find the main frog angle, the radius of outer

rail being known.

131

To find the angle of the middle frog in the case

of a double turnout

131

To find the distance from toe of switch to point

of middle frog

131

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