The apical angle: a mathematical analysis of the ellipse.

نویسندگان

  • B R Moody
  • J E McCarthy
  • R D Sengelmann
چکیده

BACKGROUND The elliptical excision is a common surgical procedure. The dermatologic literature predominantly describes an excisional geometry with a 3:1 length:width ratio and an apical angle of 30 degrees. OBJECTIVE To analyze the elliptical excision by applying mathematical principles and define the apical angle and its relationship to the length:width ratio. METHODS We examined numerous examples of elliptical excisions as presented in the dermatologic literature. We analyzed the geometry of the excisions and defined it mathematically. RESULTS The apical angle of a 3:1 elliptical excision is not 30 degrees. The true apical angle varies from 37 degrees to 74 degrees depending on excisional geometry. CONCLUSION The commonly presented apical angle of 30 degrees is incorrect and does not reflect the true apical angle of elliptical excisions.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Numerical Simulation of the Wake Flow Behind an Ellipse using Random Vortex Method (RESEARCH NOTE)

Direct numerical simulation of the wake flow around and behind a planar ellipse using a random vortex method is presented. Fluid is considered incompressible and the aspect ratios of ellipse and the angles of attacks are varied. This geometry can be a logical prelude to the more complex geometries, but less time dependent experimental measurements are available to validate the numerical results...

متن کامل

بررسی اثر زاویه قطع ریشه بر میزان سیل اپیکالی

Statement of Problem: The goal of a successful endodontic surgery is to establish an adequate seal in apical region. Therefore during surgery, root-end resection is essential for an appropriate situation and proper access.Purpose: The aim of this study was to determine the most appropriate root-end resection angle to establish adequate apical seal in periapical surgeryMaterials and Methods: For...

متن کامل

بررسی نقش زاویه قطع ریشه در میزان ریزنشت آپیکال متعاقب استفاده از آمالگام و MTA

Background and Aim: Achieving appropriate seal in canal obturation is the main goal of endodontic therapy. However, in some cases, it can not be obtained by non-surgical procedures alone. Retrograde surgery is one of the most common procedures in endodontics. Apical seal improvement can be obtained by root end filling and decreasing the root end resection angle (bevel angle). The aim of this st...

متن کامل

The Australian Journal of Mathematical Analysis and Applications

We prove that there exists a unique ellipse of minimal eccentricity, EI , inscribed in a parallelogram, Ð. We also prove that the smallest nonnegative angle between equal conjugate diameters of EI equals the smallest nonnegative angle between the diagonals of Ð. We also prove that if EM is the unique ellipse inscribed in a rectangle, R, which is tangent at the midpoints of the sides of R, then ...

متن کامل

Comparison of Lift and Drag Forces for Some Conical Bodies in Supersonic Flow Using Perturbation Techniques

Numerical methods are not always convergent especially in higher velocities when shock waves are involved. A comparison analysis is performed to study the supersonic flow over conical bodies of three different cross sections circular, elliptic and squircle (square with rounded corners) shaped using  Perturbation techniques to find flow variables analytically. In order to find lift and drag forc...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Dermatologic surgery : official publication for American Society for Dermatologic Surgery [et al.]

دوره 27 1  شماره 

صفحات  -

تاریخ انتشار 2001