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ROHAN BHAGAT,
POSTGRADUATE STUDENT,
DEPARTMENT OF ORTHODONTICS
& DENTOFACIAL ORTHOPEDICS.
Am J Orthod Volume 62, Issue 3, Pages 227-338 (September 1972)
Introduction
• A classic guideline in orthodontic diagnosis was given to the specialty
around a half-century ago by Angle .
• The cusp of the upper first permanent molar must occlude in the groove
between the mesial and middle buccal cusps of the lower first permanent
molar.
• But clinical experience and observations of treatment exhibits at national
meetings had increasingly pointed to a corollary fact.
• Models displaying that vital cusp-embrasure relationship after orthodontic
treatment, still had obvious inadequacies.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
• But merely recognizing conditions in treated cases that were
obviously less than ideal was not sufficient
• So a reversal of approach seemed indicated.
• The concept was, in brief, that if one knew what constituted "right,"
he could then directly, consistently, and methodically identify and
quantify what was wrong
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Methodology
• During a period of four years (1960 to 1964), 120 nonorthodontic
normal models were acquired with the cooperation of local
dentists, orthodontists, and a major university.
• Models selected were of teeth which:
(1) Had never had orthodontic treatment
(2) Were straight and pleasing in appearance
(3) Had a bite which looked generally correct, and
(4) In the author’s judgment, would not benefit from orthodontic
treatment
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
• The crowns were then studied intensively to ascertain which
characteristics, if any, would be found consistently in all the models
• Though Angle's molar cusp groove concept was validated still again,
the molar relationship in these healthy normal models exhibited
two qualities when viewed buccally, not just the classic one, and
that the second was equally important.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Other findings emerged:
• Angulation (mesiodistal tip) and inclination (labiolingual or
buccolingual inclination) began to show predictable natures as
related to individual tooth types
• There were no tooth rotations.
• There were no spaces between teeth.
• The occlusal plane , though not identical throughout the examples
,neatly fell into so limited a range of variation that it clearly was a
differential attribute.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
• Tentative conclusions were reached, and six characteristics were
formulated in general terms
• However, a return was needed to the information from the treated
cases on display at national meetings.
• Eleven hundred fifty of these cases were studied, from 1965 to
1971, for the purpose of learning to what degree the six
characteristics were present and whether the absence of any one
permitted prediction of other error factors
The research assumed that a comparison of the best in treatment
results (the 1,150 treated cases) and the best in nature (the 120
nonorthodontic normals) would reveal differences which, once
systematically identified, could provide significant insight on how we
could improve ourselves orthodontically.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
The Six Keys
• The six differential qualities were thus validated.
• They all were present in each of the 120 nonorthodontic normals
• The lack of even one of the six was a defect predictive of an
incomplete end result in treated models.
• The six keys to normal occlusion contribute individually and
collectively to the total scheme of occlusion and are essential for
successful treatment.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Key I. Molar relationship
• The distal surface of the distobuccal cusp of the upper first
permanent molar made contact and occluded with the mesial
surface of the mesiobuccal cusp of the lower second molar.
• The mesiodistal cusp of the upper first permanent molar fell
within the groove between the mesial and middle cusps of
the lower first permanent molar.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Key II. Crown angulation (tip).
• The long axis of the crown for all teeth, except molars, is judged to
be the middevelopmental ridge, which is the most prominent and
centermost vertical portion of the labial or buccal surface of the
crown.
• The long axis of the molar crown is identified by the dominant
vertical groove on the buccal surface of the crown.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
• The gingival portion of the long axes of all crowns was more
distal than the incisal portion
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
• The degree of crown tip is the angle between the long axis of the
crown (as viewed from the labial or buccal surface) and a line
bearing 90 degrees from the occlusal plane.
• A "plus reading" : When the gingival portion of the long axis of the
crown is distal to the incisal portion.
• A "minus reading" : When the gingival portion of the long axis of
the crown is mesial to the incisal portion.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
• Each nonorthodontic normal model had a distal inclination of the
gingival portion of each crown; this was a constant.
• Normal occlusion is dependent upon proper distal crown tip,
especially of the upper anterior teeth since they have the longest
crowns.
• Let us consider that a rectangle occupies a wider space when
tipped than when upright
• Thus, the degree of tip of incisors, for example, determines the
amount of mesiodistal space they consume and, therefore, has a
considerable effect on posterior occlusion as well as anterior
esthetics.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Key III. Crown inclination (labiolingual of
buccolingual inclination)
• The angle formed by a line which bears 90 degrees to the occlusal
plane and a line that is tangent to the bracket site
• A plus reading gingival portion of the tangent line (or of the crown)
is lingual to the incisal portion.
• A minus reading : The gingival portion of the tangent line (or of the
crown) is labial to the incisal portion.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
• A. ANTERIOR CROWN INCLINATION:
• Properly inclined anterior crowns contribute to normal overbite and
posterior occlusion
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
• The contact points move distally in concert with the increase in
positive (+) upper anterior crown inclination.
• Even when the upper posterior teeth are in proper occlusion with
the lower posterior teeth, undesirable spaces will result
somewhere between the anterior and posterior teeth, if the
inclination of the anterior crowns is not sufficient.
• This space, in treated cases, is often incorrectly blamed on tooth
size discrepancy.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
• B. POSTERIOR CROWN INCLINATION— UPPER.
• A minus crown inclination existed in each crown from the upper
canine through the upper second premolar.
• A slightly more negative crown inclination existed in the upper first
and second permanent molars
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
• C. POSTERIOR CROWN INCLINATION— LOWER.
• A progressively greater "minus" crown inclination existed from the
lower canines through the lower second molars
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Tip and torque
• As the anterior portion of an upper rectangular arch wire is lingually
torqued, a proportional amount of mesial tip of the anterior crowns
occurs
• To better understand the mechanics involved in tip and torque, let
us picture an unbent rectangular arch wire with vertical wires
soldered at 90 degrees, spaced to represent the upper central and
lateral incisors.
• As the anterior portion of the arch wire is torqued lingually, the
vertical wires begin to converge until they become the spokes of a
wheel when the arch wire is torqued 90 degrees
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
• The ratio is approximately 4:1.
• For example, if the arch wire is lingually torqued 20 degrees in the
area of the central incisors, then there would be a resultant – 5°
mesial convergence of each central and lateral incisor.
• In that the average distal tip of the central incisors is +5°, it would
then be necessary to place +10 degrees distal tip in the arch wire to
accomplish a clinical +5 degree distal tip of the crown.
• This mechanical problem can be greatly eased if tip and torque are
constructed in the brackets rather than the arch wire.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Key IV. Rotations.
• The fourth key to normal occlusion is that the teeth should be free of
undesirable rotations.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Key V. Tight contacts.
• The fifth key is that the contact points should be tight (no spaces).
• Genuine tooth-size discrepancies pose special problems, but in the
absence of such abnormalities tight contact should exist.
• Without exception, the contact points on the nonorthodontic
normals were tight
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Key VI. Occlusal plane
• A flat plane should be a treatment goal as a form of
overtreatment.
• There is a natural tendency for the curve of Spee to deepen
with time, for the lower jaw's growth downward and
forward sometimes is faster and continues longer than that
of the upper jaw.
• This causes the lower anterior teeth, which are confined
by the upper anterior teeth and lips, to be forced back and
up, resulting in crowded lower anterior teeth and/or a
deeper overbite and deeper curve of Spee.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
• At the molar end of the lower dentition, the molars (especially the
third molars) are pushing forward, even after growth has stopped,
creating essentially the same results.
• Intercuspation of teeth is best when the plane of occlusion is
relatively flat.
• A deep curve of Spee results in a more contained area for the upper
teeth, making normal occlusion impossible while a reverse curve of
Spee is an extreme form of overtreatment, allowing excessive space
for each tooth to be intercuspally placed
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
Key VII. Tooth size
• Tooth size is actually the 'seventh key' of normal occlusion.
• Andrews' non-orthodontic normal models had balanced tooth
size.
• If not, there would have been either spacing in one arch or
crowding in the opposing arch.
McLaughlin RP, Bennett JC, Trevisi HJ. Systemized orthodontic treatment
mechanics. St Louis: Mosby; 2001. 285.
Conclusion
• The 120 nonorthodontic normal models studied in this research
differed in some respects, but all shared the six characteristics
described in this report.
• The absence of any one or more of the six results in occlusion that
is proportionally less than normal.
• We have no better example for emulation than nature's best, and
in the absence of an abnormality outside our control, why should
any compromise be accepted?
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
• In that nature's nonorthodontic normal models provide such a
beautiful and consistent guideline, it seems that we should, when
possible, let these guidelines be our measure of the static
relationship of successful orthodontic treatment.
• Achieving the final desired occlusion is the purpose of attending to
the six keys to normal occlusion.
Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
THANK YOU !

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Andrew's Six Keys

  • 1. ROHAN BHAGAT, POSTGRADUATE STUDENT, DEPARTMENT OF ORTHODONTICS & DENTOFACIAL ORTHOPEDICS. Am J Orthod Volume 62, Issue 3, Pages 227-338 (September 1972)
  • 2. Introduction • A classic guideline in orthodontic diagnosis was given to the specialty around a half-century ago by Angle . • The cusp of the upper first permanent molar must occlude in the groove between the mesial and middle buccal cusps of the lower first permanent molar. • But clinical experience and observations of treatment exhibits at national meetings had increasingly pointed to a corollary fact. • Models displaying that vital cusp-embrasure relationship after orthodontic treatment, still had obvious inadequacies. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 3. • But merely recognizing conditions in treated cases that were obviously less than ideal was not sufficient • So a reversal of approach seemed indicated. • The concept was, in brief, that if one knew what constituted "right," he could then directly, consistently, and methodically identify and quantify what was wrong Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 4. Methodology • During a period of four years (1960 to 1964), 120 nonorthodontic normal models were acquired with the cooperation of local dentists, orthodontists, and a major university. • Models selected were of teeth which: (1) Had never had orthodontic treatment (2) Were straight and pleasing in appearance (3) Had a bite which looked generally correct, and (4) In the author’s judgment, would not benefit from orthodontic treatment Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 5. • The crowns were then studied intensively to ascertain which characteristics, if any, would be found consistently in all the models • Though Angle's molar cusp groove concept was validated still again, the molar relationship in these healthy normal models exhibited two qualities when viewed buccally, not just the classic one, and that the second was equally important. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 6. Other findings emerged: • Angulation (mesiodistal tip) and inclination (labiolingual or buccolingual inclination) began to show predictable natures as related to individual tooth types • There were no tooth rotations. • There were no spaces between teeth. • The occlusal plane , though not identical throughout the examples ,neatly fell into so limited a range of variation that it clearly was a differential attribute. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 7. • Tentative conclusions were reached, and six characteristics were formulated in general terms • However, a return was needed to the information from the treated cases on display at national meetings. • Eleven hundred fifty of these cases were studied, from 1965 to 1971, for the purpose of learning to what degree the six characteristics were present and whether the absence of any one permitted prediction of other error factors The research assumed that a comparison of the best in treatment results (the 1,150 treated cases) and the best in nature (the 120 nonorthodontic normals) would reveal differences which, once systematically identified, could provide significant insight on how we could improve ourselves orthodontically. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 8. The Six Keys • The six differential qualities were thus validated. • They all were present in each of the 120 nonorthodontic normals • The lack of even one of the six was a defect predictive of an incomplete end result in treated models. • The six keys to normal occlusion contribute individually and collectively to the total scheme of occlusion and are essential for successful treatment. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 9. Key I. Molar relationship • The distal surface of the distobuccal cusp of the upper first permanent molar made contact and occluded with the mesial surface of the mesiobuccal cusp of the lower second molar. • The mesiodistal cusp of the upper first permanent molar fell within the groove between the mesial and middle cusps of the lower first permanent molar. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 10. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 11. Key II. Crown angulation (tip). • The long axis of the crown for all teeth, except molars, is judged to be the middevelopmental ridge, which is the most prominent and centermost vertical portion of the labial or buccal surface of the crown. • The long axis of the molar crown is identified by the dominant vertical groove on the buccal surface of the crown. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 12. • The gingival portion of the long axes of all crowns was more distal than the incisal portion Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 13. • The degree of crown tip is the angle between the long axis of the crown (as viewed from the labial or buccal surface) and a line bearing 90 degrees from the occlusal plane. • A "plus reading" : When the gingival portion of the long axis of the crown is distal to the incisal portion. • A "minus reading" : When the gingival portion of the long axis of the crown is mesial to the incisal portion. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 14. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 15. • Each nonorthodontic normal model had a distal inclination of the gingival portion of each crown; this was a constant. • Normal occlusion is dependent upon proper distal crown tip, especially of the upper anterior teeth since they have the longest crowns. • Let us consider that a rectangle occupies a wider space when tipped than when upright • Thus, the degree of tip of incisors, for example, determines the amount of mesiodistal space they consume and, therefore, has a considerable effect on posterior occlusion as well as anterior esthetics. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 16. Key III. Crown inclination (labiolingual of buccolingual inclination) • The angle formed by a line which bears 90 degrees to the occlusal plane and a line that is tangent to the bracket site • A plus reading gingival portion of the tangent line (or of the crown) is lingual to the incisal portion. • A minus reading : The gingival portion of the tangent line (or of the crown) is labial to the incisal portion. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 17. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 18. • A. ANTERIOR CROWN INCLINATION: • Properly inclined anterior crowns contribute to normal overbite and posterior occlusion Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 19. • The contact points move distally in concert with the increase in positive (+) upper anterior crown inclination. • Even when the upper posterior teeth are in proper occlusion with the lower posterior teeth, undesirable spaces will result somewhere between the anterior and posterior teeth, if the inclination of the anterior crowns is not sufficient. • This space, in treated cases, is often incorrectly blamed on tooth size discrepancy. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 20. • B. POSTERIOR CROWN INCLINATION— UPPER. • A minus crown inclination existed in each crown from the upper canine through the upper second premolar. • A slightly more negative crown inclination existed in the upper first and second permanent molars Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 21. • C. POSTERIOR CROWN INCLINATION— LOWER. • A progressively greater "minus" crown inclination existed from the lower canines through the lower second molars Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 22. Tip and torque • As the anterior portion of an upper rectangular arch wire is lingually torqued, a proportional amount of mesial tip of the anterior crowns occurs • To better understand the mechanics involved in tip and torque, let us picture an unbent rectangular arch wire with vertical wires soldered at 90 degrees, spaced to represent the upper central and lateral incisors. • As the anterior portion of the arch wire is torqued lingually, the vertical wires begin to converge until they become the spokes of a wheel when the arch wire is torqued 90 degrees Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 23. • The ratio is approximately 4:1. • For example, if the arch wire is lingually torqued 20 degrees in the area of the central incisors, then there would be a resultant – 5° mesial convergence of each central and lateral incisor. • In that the average distal tip of the central incisors is +5°, it would then be necessary to place +10 degrees distal tip in the arch wire to accomplish a clinical +5 degree distal tip of the crown. • This mechanical problem can be greatly eased if tip and torque are constructed in the brackets rather than the arch wire. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 24. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 25. Key IV. Rotations. • The fourth key to normal occlusion is that the teeth should be free of undesirable rotations. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 26. Key V. Tight contacts. • The fifth key is that the contact points should be tight (no spaces). • Genuine tooth-size discrepancies pose special problems, but in the absence of such abnormalities tight contact should exist. • Without exception, the contact points on the nonorthodontic normals were tight Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 27. Key VI. Occlusal plane • A flat plane should be a treatment goal as a form of overtreatment. • There is a natural tendency for the curve of Spee to deepen with time, for the lower jaw's growth downward and forward sometimes is faster and continues longer than that of the upper jaw. • This causes the lower anterior teeth, which are confined by the upper anterior teeth and lips, to be forced back and up, resulting in crowded lower anterior teeth and/or a deeper overbite and deeper curve of Spee. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 28. • At the molar end of the lower dentition, the molars (especially the third molars) are pushing forward, even after growth has stopped, creating essentially the same results. • Intercuspation of teeth is best when the plane of occlusion is relatively flat. • A deep curve of Spee results in a more contained area for the upper teeth, making normal occlusion impossible while a reverse curve of Spee is an extreme form of overtreatment, allowing excessive space for each tooth to be intercuspally placed Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 29. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 30. Key VII. Tooth size • Tooth size is actually the 'seventh key' of normal occlusion. • Andrews' non-orthodontic normal models had balanced tooth size. • If not, there would have been either spacing in one arch or crowding in the opposing arch. McLaughlin RP, Bennett JC, Trevisi HJ. Systemized orthodontic treatment mechanics. St Louis: Mosby; 2001. 285.
  • 31. Conclusion • The 120 nonorthodontic normal models studied in this research differed in some respects, but all shared the six characteristics described in this report. • The absence of any one or more of the six results in occlusion that is proportionally less than normal. • We have no better example for emulation than nature's best, and in the absence of an abnormality outside our control, why should any compromise be accepted? Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309
  • 32. • In that nature's nonorthodontic normal models provide such a beautiful and consistent guideline, it seems that we should, when possible, let these guidelines be our measure of the static relationship of successful orthodontic treatment. • Achieving the final desired occlusion is the purpose of attending to the six keys to normal occlusion. Lawrence F. Andrews; The six keys to normal occlusion ;Am J Orthod. 1972 Sep;62(3):296-309

Editor's Notes

  1. 1.This is in the year 1960 and at that point, 2. According to him, as a sine qua non of proper occlusion. 3. 4.They found that too many models displaying that vital cusp-embrasure relationship after orthodontic treatment, still had obvious inadequacies, despite the acceptable molar relationship as described by Angle.
  2. for it was subjective, impressionistic, and merely negative. A deliberate seeking, first, of data about what was significantly characteristic in models which, by professional judgment, needed no orthodontic treatment
  3. READ B4 SLIDES : It is possible for the mesiobuccal cusp of the upper first year molar to occlude in the groove between the mesial and middle cusps of the lower first permanent molar (as sought by Angle ) while leaving a situation unreceptive to normal occlusion.
  4. READ B4 SLIDES: In this article, the term crown angulation refers to angulation (or tip) of the long axis of the crown, not to angulation of the long axis of the entire tooth.
  5. 1. (which is in the middle of the labial or buccal long axis of the clinical crown, as viewed from the mesial or distal).
  6. 1.When too straight-up and -down they lose their functional harmony and overeruption results.
  7. 1. For every 4 degrees of lingual crown torque, there is 1 degree of mesial convergence of the gingival portion of the central and lateral crowns.
  8. 1. Even though not all of the nonorthodontic normals had flat planes of occlusion, the author believed so.
  9. Evaluation of tooth size discrepancy can be carried out by using the Bolton analysis. Tooth size discrepancy may be corrected either by reducing tooth mass in one arch with inter-proximal enamel reduction (usually the lower incisors) and/or by addition of tooth mass with restorative materials in the opposing arch (usually the upper lateral incisors).