Higher mathematics

Calculator nameSummary
#3A Cut cone volume, slantly, cutting angle γ<base angle δ When a straight cone with radius R and base angle δ is cut diagonally by a plane crossing the base circle at an angle γ which is smaller than δ, the volume V of the cut part (shaded part) on the right side of the cut surface is obtained.
#3B Cut cone volume, slantly, cutting angle γ=base angle δ When a straight cone with radius R and base angle δ is cut diagonally by a plane crossing the base circle at an angle γ which is equal to δ, the volume V of the cut part (shaded part) on the right side of the cut surface is obtained.
#1 Cut cone volume, vertically (cutting angle γ=90 deg.) When a straight cone with radius R and base angle δ is cut vertically (parallel to the central axis), the volume V of the cut part (shaded part) on the right side of the cut surface is obtained.
#2 Cut cone volume, slantly by plane tangent to base circle When a straight cone with radius R and base angle δ is cut diagonally by a plane tangent to the bottom circle at an angle γ, the volume V of the cut part (shaded part) on the right side of the cut surface and that of the left part Vu after cutting are obtained.
#3C Cut cone volume, slantly, cutting angle γ>base angle δ When a straight cone with radius R and base angle δ is cut diagonally by a plane crossing the base circle at an angle γ which is smaller than δ, the volume V of the cut part (shaded part) on the right side of the cut surface is obtained.
Partial cone volume, #1 vertically (cutting angle γ=90 deg.) Calculates the volume of a partial circular cone cut out vertically (parallel to the axis), given the radius of the base circle R, base angle δ and the position where to cut the cone in terms of angle Θ.
Partial cone volume, #2 diagonal, cut at edge of base circle Calculates the volume of a partial circular cone cut out diagonally by a plane crossing the edge of the base circle and that of the left part, given the radius of the base circle R, base angle δ and the cutting angle γ.
Partial cone volume, #3A diagonal, cutting angle<base angle Calculates the volume of a partial circular cone cut out diagonally by a plane crossing the base circle, given the radius of the base circle R, base angle δ, where it is cut in terms of angle Θ and the cutting angle γ which is smaller than the base angle δ.
Partial cone volume, #3B diagonal, cutting angle=base angle Calculates the volume of a partial circular cone cut out diagonally by a plane crossing the base circle, given the radius of the base circle R, base angle δ, where it is cut in terms of angle Θ and the cutting angle γ which is equal to the base angle δ.
Partial cone volume, #3C diagonal, cutting angle>base angle Calculates the volume of a partial circular cone cut out diagonally by a plane crossing the base circle, given the radius of the base circle R, base angle δ, where it is cut in terms of angle Θ and the cutting angle γ which is greater than the base angle δ and not equal to 90°.
ellipse perimeter from ratio of minor axis to major ellipse perimeter a a function of the ratio of the semi-minor axis to the semi-major