Tönnis angle

Tönnis angle is the acetabular roof angle (acetabular index) measured on an AP pelvic radiograph in infants and young children. It is formed between Hilgenreiner line and a line drawn from the lower lateral edge of the ilium at the triradiate cartilage to the superior lateral acetabular rim. A larger angle reflects a steeper, less developed acetabular roof and may indicate acetabular dysplasia.

Tönnis specified that the lateral point should lie on the sclerotic line of the acetabular roof. Where the roof is rounded or where pelvic positioning produces separate anterior and posterior contours, the line should terminate at the true superior rim rather than simply follow the lowest projected contour.

Tönnis angle
Measurement of the Tönnis angle

Hilgenreiner line is drawn through the lower lateral edges of the ilia at the triradiate cartilages. From this medial acetabular point, a second line is drawn along the sclerotic acetabular roof to the superior lateral acetabular rim. The angle between the two is the acetabular index (AC angle). If the lateral roof is rounded or double-contoured because of pelvic position, Tönnis advised using the true superior rim rather than simply the lowest projected contour.


History of the Tönnis angle

1908 – Michael Horváth described a radiographic inclination angle of the acetabular roof (Neigungswinkel des Pfannendaches). Rather than using a general horizontal reference, he took the horizontal limb of the Y-cartilage, or a line through the corresponding radiographic gap, as the baseline. The second line extended from its lateral endpoint to the junction of the acetabular roof and ilium; where no distinct corner was present, a tangent to the convex acetabular roof was used.

Horváth 1908 inclination angle
Horváth’s acetabular roof angle, 1908. The baseline follows the horizontal limb of the Y-cartilage. A second line extends from the lateral end of the Y-cartilage to the junction of the acetabular roof and ilium.

1925Heinrich Hilgenreiner incorporated the acetabular roof angle into a broader radiographic system for congenital hip dislocation. Unlike Horváth’s local Y-cartilage reference, Hilgenreiner used a single horizontal baseline connecting the two Y-cartilages, against which acetabular inclination was measured (Hilgenreiner line).

Hilgenreiner’s original measurement system
Hilgenreiner’s radiographic measurements, 1925. Figure 4 from a 7-week-old boy with unilateral congenital right hip dislocation. On the affected side, the acetabular angle is increased (α 40°), lateral displacement is greater (d 1.6 cm) and femoral height is reduced (h 0), compared with the contralateral hip (α 20°, d 1 cm, h 1 cm). The horizontal baseline through the triradiate cartilages subsequently became known as Hilgenreiner line.

1968 – Dietrich Tönnis and D. Brunken investigated the acetabular roof angle in 2,294 paediatric hips. In which “Der Pfannendachwinkel wurde nach der Technik Hilgenreiners gemessen”, the acetabular roof angle was measured according to Hilgenreiner’s technique.

Tönnis and Brunken 1968
Tönnis and Brunken’s acetabular roof angle, 1968. Left: AP pelvic radiograph showing bilateral acetabular roof angles measured using Hilgenreiner’s technique. Right: schematic demonstrating selection of the acetabular roof line where pelvic positioning produces overlapping anterior and posterior acetabular contours

Their study examined age-related variation, the effects of pelvic rotation and tilt, and statistical limits separating normal from pathological acetabular development.

Age-related acetabular index values, Tönnis 1987
Age-related acetabular index values, Tönnis 1968. Statistical distribution derived from the longitudinal study of 2,294 paediatric hips by Tönnis and Brunken. Mean values and standard-deviation limits were used to distinguish normal, equivocal and pathological acetabular development.

1976–1987 – Tönnis published Normal values of the hip joint for the evaluation of X-rays in children and adults in 1976. In his 1987 textbook Congenital Dysplasia and Dislocation of the Hip in Children and Adults, Tönnis still retained the name “Acetabular Index of Hilgenreiner (AC angle)”. He provided a detailed technical definition, defined the angles construction and provided age-, sex- and side-related reference ranges.


Associated Persons

Alternative names
  • Acetabular Index of Hilgenreiner

Eponymythology
An eponym for somebody else’s angle?

The measurement now commonly called the Tönnis angle evolved over several decades. First Horváth described an acetabular inclination angle referenced to the Y-cartilage in 1908. Then Hilgenreiner incorporated a similar roof angle into his bilateral pelvic measurement system in 1925. Finally Tönnis and Brunken established its age-related normal and pathological ranges in 1968.

Tönnis himself did not claim the geometric construction as his own. In his 1987 textbook he continued to call the measurement the “acetabular index of Hilgenreiner (AC angle). His contribution was to make the measurement standardised, reproducible and clinically interpretable.


References

Historical references

Eponymous term review

eponymictionary

the names behind the name

BA MA (Oxon) MBChB (Edin) FACEM FFSEM. Emergency physician, Sir Charles Gairdner Hospital. Passion for rugby; medical history; medical education; and asynchronous learning #FOAMed evangelist. Co-founder and CTO of Life in the Fast lane | On Call: Principles and Protocol 4e| Eponyms | Books |

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