15a.Rectangle to disk in perpendicular
plane. Disk is symmetrically centered with rectangle, and touches rectangle
center Click to open calculator >>

16. Two rectangles with one common
edge and included angle of Φ. Click to open calculator >>

17. Rectangle 1 to rectangle 2 in a
plane intersecting the plane containing rectangle 1. All rectangle edges
are parallel or perpendicular to the line of intersection of the containing
planes. Click to open calculator >>

18. Finite area on interior of
rectangular enclosure to second finite area. Click to open calculator >>

19. Right triangle to perpendicular
rectangle with common side. Click to open calculator >>

20. Isosceles triangle to
perpendicular rectangle: Base of triangle and rectangle have common edge. Click to open calculator >>

21. Right triangle with side of
length one-half that of perpendicular rectangle to rectangle. Click to open calculator >>

22. Perpendicular right triangles
with one equal edge. Click to open calculator >>

23. Right triangle to perpendicular
right triangle with common edge; apexes at common point. Click to open calculator >>

24. Right triangle to perpendicular
right triangle with common edge; apexes at opposite ends. Click to open calculator >>

25. Triangle to perpendicular
rectangle. Click to open calculator >>

26. Right triangle to perpendicular
right triangle of unequal size; apexes at opposite ends of shared edge. Click to open calculator >>

27. Right triangle to perpendicular
right triangle of unequal size; apexes at common point. Click to open calculator >>

28. Right isosceles triangle to
adjacent congruent perpendicular triangle connected along short side. Click to open calculator >>

29. Parallel directly opposed right
triangles. Click to open calculator >>

30. Parallel directly opposed
rectangles with triangular extensions. Click to open calculator >>

31. Floor to end wall with triangular
extension. Click to open calculator >>

32. Side wall to end wall with
triangular extension. Click to open calculator >>

33. Between all combinations of
surfaces in a hexagonal prism. Click to open calculator >>

34. Between parallel regular
polygons. Click to open calculator >>

35. One side of rectangle to one
quarter of parallel cylinder of same length as rectangle; cylinder is
bisected longitudinally by plane containing rectangle. Click to open calculator >>

36. Rectangle to perpendicular
circular segment. Click to open calculator >>

37. Horizontal panel to adjacent
vertical panel with circular segment on top. Click to open calculator >>

38. Side wall to end wall with
circular segment extension. Click to open calculator >>

II.
Disk to....

39. Circular disk to parallel right
triangle; normal from center of circle passes through one acute vertex.
Click to open calculator >>

40. Disk to parallel coaxial disk of
same radius. Click to open calculator >>

41. Disk to parallel coaxial disk of
unequal radius. Click to open calculator >>

42. Disk to second coaxial disk
inside cone. Click to open calculator >>

43. Nonintersecting disks with
intersecting axes; axes intersect between disks; and disks can be inscribed
in sphere of radius r_{3} (i.e. r_{1}^{2} + h_{1}^{2}
= r_{2}^{2} + h_{2}^{2} = r_{3}^{2}) Click to open calculator >>

43a. Two Half disks of the same radius with a common edge forming any agnle a From 0 to pi.

43b. Enclosure bounded by two half disks of a same radius with o common edge forming any angle a from 0 to pi.

44. Nonintersecting disks with
intersecting axes; axes do not intersect between disks. Disks can be
inscribed in sphere of radius r_{3} (i.e. r_{1}^{2}
+ h_{1}^{2} = r_{2}^{2} + h_{2}^{2}
= r_{3}^{2}) Click to open calculator >>

45. Sector of circular disk to sector
of parallel circular disk. Click to open calculator >>

46. Parallel opposed circular
segments. Click to open calculator >>

47. Disk to coaxial annular ring on
parallel disk. Click to open calculator >>

48. Disk to coaxial cone. Click to open calculator >>

49. Annular Disk to coaxial truncated
cone; cone can be convergent (+α)
or divergent (-α). Click to open calculator >>

50. Disk to a coaxial paraboloid. Click to open calculator >>

51. Disk to coaxial ellipsoid. Click to open calculator >>

52. Ring to parallel coaxial ring. Click to open calculator >>

53. Annulus to coaxial annulus of
different outer radius; both annuli have inner radius of blocking coaxial
cylinder. Click to open calculator >>

54. Coaxial annular rings separated
by coaxial cylinder. Click to open calculator >>

55. Annular ring between two
concentric cylinders to inside of outer cylinder; inner radius of ring is
equal to radius of inner cylinder. Click to open calculator >>

56. Ring on annulus between coaxial
cylinders to inner surface of outer cylinder. Click to open calculator >>

57. Annular ring around base of
hemisphere to hemisphere. Click to open calculator >>

58. Ring around base of hemisphere to
section of hemisphere. Click to open calculator >>

59. Annular ring to attached coaxial
paraboloid. Click to open calculator >>

60. Annular ring to attached coaxial
ellipsoid. Click to open calculator >>

III.
Cylinder to....

61. Exterior of infinitely long
cylinder to symmetrically placed infinitely long parallel rectangle. Click to open calculator >>

62. Exterior of infinitely long
cylinder to unsymmetrically placed infinitely long parallel plate. Click to open calculator >>

63. Concentric cylinders of infinite
length. Click to open calculator >>

64. Exterior of infinitely long
cylinder to interior of concentric semicylinder. Click to open calculator >>

65. Interior of infinitely long
semicylinder to itself when concentric coaxial cylinder is present. Click to open calculator >>

66. Interior of infinitely long
semicylinder 1 to interior of semicylinder 2 when concentric parallel
cylinder 3 is present. Click to open calculator >>

67. Infinitely long cylinder to
non-concentric cylindrical enclosure. Click to open calculator >>

68. Infinitely long parallel
cylinders of the same diameter. Click to open calculator >>

69. Infinite parallel cylinders of
different radius. Click to open calculator >>

70. Infinitely long facing parallel
semicylinders of equal radius. Click to open calculator >>

71. Infinitely long semicylinder to parallel
infinitely long semicylinder of same radius. Click to open calculator >>

72. Infinitely long cylinder to other
cylinders in square array of parallel cylinders of equal diameter. Click to open calculator >>

73. Infinitely long cylinder to other
cylinders in equilateral triangular array of parallel cylinders of equal
diameter. Click to open calculator >>

74. Finite-length cylinder to
rectangle with two edges parallel to cylinder axis and of length equal to
cylinder. Click to open calculator >>

75. Finite cylinder to finite
rectangle of same length. Click to open calculator >>

76. Outside surface of cylinder to
perpendicular right triangle; triangle is in plane of cylinder base with
one vertex of triangle at center of base. Click to open calculator >>

77. Outer surface of cylinder to
annular disk at end of cylinder. Click to open calculator >>

78. Inner surface of right circular
cylinder to itself. Click to open calculator >>

78a. Flat spiral tape of width h rolled around imaginary cylinder of diameter d and length l.

79. Base of right circular cylinder
to inside surface of cylinder. Click to open calculator >>

80. Disk in cylinder base or top to
inside surface of right circular cylinder. Click to open calculator >>

81. Inside surface of right cylinder to
coaxial disk of same diameter separated from base of cylinder. Click to open calculator >>

82. Interior surface of circular
cylinder of radius R to disk of radius r where r < R; disk is
perpendicular to axis of cylinder, and axis passes through center of disk. Click to open calculator >>

83. Annular ring on cylinder base or
top to inside of right circular cylinder. Click to open calculator >>

84. Interior of right circular
cylinder to finite annular ring in base. Click to open calculator >>

85. Inner surface of upper cylinder
to base ring. Click to open calculator >>

86. Inside surface of right circular
cylinder to inside surface of adjacent right circular cylinder of the same
diameter. Click to open calculator >>

87. Finite section of right circular
cylinder to separated finite section. Click to open calculator >>

88. Interior of half-cylinder to
interior of opposed adjacent coaxial half-cylinder of equal length. Click to open calculator >>

89. Coaxial right circular cylinders
of different radii, one atop the other, Case I. Click to open calculator >>

90. Coaxial right circular cylinders
of different radii, one atop the other, Case II. Click to open calculator >>

91. Interior of finite length right
circular coaxial cylinder to itself. Click to open calculator >>

92. Interior of outer right circular
cylinder of finite length to exterior of coaxial inner right circular
cylinder. Click to open calculator >>

93. Interior of outer right circular
cylinder of finite length to annular end enclosing space between coaxial
cylinders. Click to open calculator >>

94. Annular end enclosing space
between coaxial right circular cylinders to opposite annular end. Click to open calculator >>

95. Inner coaxial cylinder to outer
coaxial cylinder; inner cylinder entirely within outer. Click to open calculator >>

96. Inner coaxial cylinder to outer
coaxial cylinder; inner cylinder extends beyond one end of outer. Click to open calculator >>

97. Inner coaxial cylinder to outer
coaxial cylinder; inner cylinder extends beyond both ends of outer. Click to open calculator >>

98. Outside of inner (smaller) coaxial
cylinder to inside of larger cylinder; small cylinder completely outside
larger. Click to open calculator >>

99. Between equal length cylindrical
areas on interior of outer coaxial cylinder. Click to open calculator >>

100. Between cylindrical area on
interior of shell and equal length cylindrical area on exterior of inner
coaxial cylinder. Click to open calculator >>

101. Parallel opposed cylinders of
unequal radius and equal finite length. Click to open calculator >>

102. Perpendicular cylinders of
equal radius and equal finite length, closest separation at centers. Click to open calculator >>

103. Cylinders of equal radius and
length, one cylinder rotated around line joining centers. Click to open calculator >>

104. Finite cylinders of equal
radius and length. Cylinders are rotated at 90^{o} from line
connecting their ends. Click to open calculator >>

105. Cylinders of equal length and
radius, rotated around line connecting ends. Click to open calculator >>

106. Cylinder of length l/2 to
perpendicular cylinder of length l and same radius. Cylinder axes intersect
at center of longer cylinder. Click to open calculator >>

107. Cylinder of length l/2 to
cylinder of equal radius and length l rotated in plane containing cylinder
axes about a line through end of longer cylinder. Click to open calculator >>

108. Cylinder of length l/2 to
skewed cylinder of equal radius and length. Click to open calculator >>

IV.
Cone to....

109. Interior of right circular cone
to base. Click to open calculator >>

110. Interior of right circular cone
to itself. Click to open calculator >>

111. Interior of frustum of right
circular cone to base. Click to open calculator >>

111a Interior of Frustum of Right
Circular Cone to Itself Click to open calculator >>

112. Frustum of right circular cone
to entire base. Click to open calculator >>

112a. Frustum of right circular cone to
base with obstruction by coaxial internal cylinder Click to open calculator >>

113. Frustum of right circular cone
to disk in base of cone. Click to open calculator >>

114. Frustum of right circular cone
cut by plane parallel to cone axis. Click to open calculator >>

115. Finite section of right
circular cone to separated finite section. Click to open calculator >>

116. Interior of frustum of right
circular cone to attached right circular cone. Click to open calculator >>

117. Interior of right circular cone
to base of attached frustum. Click to open calculator >>

118. Frustum of right circular cone
to coaxial attached frustum. Click to open calculator >>

119. Interior of frustum of right
circular cone to base of attached coaxial frustum. Click to open calculator >>

120. Cone to coaxial body of
revolution (cone, paraboloid or ellipsoid). Click to open calculator >>

V.
Sphere to....

121. Sphere to rectangle perpendicular to
line through sphere axis. Click to open calculator >>

122. Sphere to rectangle.
Click to open calculator >>

122a. Sphere to plane rectangle.
Sphere lies on corner of adjacent rectangle with common side and
intersecting A_{2} at angle ø
Click to open calculator >>

123. Sphere to scalene triangle in
plane perpendicular to sphere axis with one vertex on axis; sphere does not
intersect plane of triangle. Click to open calculator >>

124. Sphere to any polygon in plane
that does not intersect sphere. Click to open calculator >>

125. Sphere to coaxial disk. Click to open calculator >>

126. Sphere to noncoaxial disk;
plane of disk does not intersect sphere. Point o may lie inside or outside
disk. Click to open calculator >>

127. Sphere to sector on coaxial
disk. Click to open calculator >>

128. Sphere to segment on a coaxial
disk. Click to open calculator >>

129. Sphere to top of coaxial
annular ring not touching sphere. Click to open calculator >>

130. Sphere to top of coaxial
annular ring touching sphere. Click to open calculator >>

131. Sphere to interior surface of
coaxial right circular cylinder; sphere outside end of cylinder, and sphere
radius less than cylinder radius. Click to open calculator >>

132. Sphere to interior surface of
coaxial right circular cylinder; sphere within ends of cylinder. Click to open calculator >>

133. Sphere to exterior of coaxial
cylinder. Click to open calculator >>

134. Large sphere to small cylinder.
r>> diameter or length of cylinder. Click to open calculator >>

135. Concentric spheres. Click to open calculator >>

136. Differential or finite areas on
the inside of a spherical cavity. Click to open calculator >>

137. Two spheres of unequal radius. Click to open calculator >>

138. Sphere to spherical cap. Click to open calculator >>

139. Sphere to coaxial cone. Click to open calculator >>

140. Large sphere to small
hemisphere (not including circular base). Click to open calculator >>

140a. Two directly opposed spherical caps on a common axis.

140b. Spherical cap on a sphere of radius r to itself and to its base

140c. Two complementary spherical caps on the same sphere of radius r.

140d. Two spherical caps of different size in the same sphere of radius r

141. Sphere to coaxial paraboloid. Click to open calculator >>

142. Sphere to coaxial ellipsoid. Click to open calculator >>

143. Large sphere to small
ellipsoid. Click to open calculator >>

144. Ring area on inside of sphere
to coaxial ring area on inside of attached frustum. Click to open calculator >>

145. Ring area on inside of sphere
to ring on interior of cylinder attached to sphere by a conical frustum. Click to open calculator >>

VI.
Hemisphere to....

146. Any finite area of any shape on
interior of hemisphere to entire base. Click to open calculator >>

147. Spherical cap to disk in
equatorial plane. Click to open calculator >>

148. Interior finite section of
hemisphere to itself. Click to open calculator >>

149. Finite section on interior of
hemisphere to parallel finite section. Click to open calculator >>

150. Section of interior of
hemisphere to disk on base. Click to open calculator >>

151. Finite section of interior of
hemisphere to disk on base. Click to open calculator >>

152. Section of hemisphere to
annular ring in base. Click to open calculator >>

153. Ring on hemispherical surface
to ring on the base. Click to open calculator >>

154. Two hemispheres in contact. Click to open calculator >>

VII.
Other

155. Moebius strip of constant width
to itself. Click to open calculator >>

155a. Spiral strip on inside of right circular cylinder to itself Click to open calculator >>

156. Seated standard person facing
vertical panel. Click to open calculator >>

157. Seated standard person to side
vertical rectangle. Click to open calculator >>

158. Seated standard person to rectangle
on ceiling or floor. Click to open calculator >>

159. Standard standing person to
rectangle on ceiling. Click to open calculator >>

160. Standing standard person to
side vertical rectangle. Click to open calculator >>

161. Standing standard person to
vertical facing rectangle. Click to open calculator >>

162. Pig to rectangle in various
orientations. Click to open calculator >>