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| Condition | Equation | Curve form | Initial configuration | Position of moving pivots | Polar angle value | Relationship between points |
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| 1/M ≠ 0 and 1/N ≠ 0 | Equation (10) | Cubic curve | General configuration | General position | Equation (14) | P, A0, B0, A, B, JA, JB, and C do not coincide with each other |
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| 1/M = 0 | Equation (18) | A straight line (line Pt) and a circle with its center on line Pt | A side link (A0A) and a frame (A0B0) are collinear | Points A and C on a circle | | P, B0, and JB are coincident |
| A side link (A0A) and a coupler (AB) are collinear | Point B on line Pt | P, B, and JB are coincident |
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| 1/N = 0 | Equation (19) | A straight line (line Pn) and a circle with its center on line Pn | A coupler (AB) is parallel to a frame (A0B0) | Points A and B on a circle | | The connection of JA and JB is parallel to AB and A0B0 |
| Point C on line Pn |
| The Ball point on a side link (B0B) | Point A on a circle | | C and JB are coincident |
| Points B and C on line Pn | |
| A coupler (AB) is perpendicular to a side link (B0B) | Points A and B on a circle | | The connection of JA and JB is parallel to AB and A0B0; C and JB are coincident |
| Points B and C on line Pn | |
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| 1/M = 0 and 1/N = 0 | Equation (20) | Two straight lines (line Pt and Pn) | Two side links (A0A and B0B) are perpendicular | Point B on Pt | | P, B0, and JB are coincident |
| Points A and C on line Pn | , | C and JA are coincident |
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