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Table 3 Calculation of the center of rotations according to the calculations obtained from coding C++ 

From: An expansion to the Nägerl’s theory of proportionality in reduced alveolar bone height models: a 3D finite element analysis

Points

Crot change with healthy model periodontium[mm]

Crot change with 3 mm alveolar bone loss[mm]

Crot change with 4.5 mm alveolar bone loss[mm

1

7/224

6/06572

5/331433

2

7/1882

6/05324

5/323221

3

7/1709

6/03997

5/314111

4

7/1414

6/02582

5/305044

5

7/1746

6/01071

5/295168

6

7/0756

5/99453

5/284657

7

7/0387

5/97718

5/273677

8

6/9987

5/95851

5/261693

9

6/9547

5/93837

5/248852

10

6/907

5/91657

5/234021

11

6/8545

5/89291

5/219729

12

6/7883

5/8671

5/203314

13

6/73142

5/83875

5/185624

14

6/6594

5/80763

5/166573

15

6/5784

5/7733

5/145287

16

6/487

5/73524

5/122104

17

6/383

5/69281

5/096525

18

6/2627

5/6452

5/068013

19

6/1229

5/5914

5/0363

20

5/9585

5/5301

5/000697