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Topic: Internal angle


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In the News (Fri 10 Jul 09)

  
  Internal angle - Wikipedia, the free encyclopedia
In geometry, an internal angle (or interior angle) is an angle formed by two sides of a simple polygon that share an endpoint, namely, the angle on the inner side of the polygon.
The sum of the internal angles of a polygon with n vertices (or equivalently, n sides) is (n − 2) · 180 degrees.
Another example is a rectangle, whose four internal angles are each 90 degrees, for a total of 360 degrees, the same as any quadrilateral.
en.wikipedia.org /wiki/Internal_angle   (142 words)

  
 Triangle - Wikipedia, the free encyclopedia
A central theorem is the Pythagorean theorem stating that in any right triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
An angle bisector of a triangle is a straight line through a vertex which cuts the corresponding angle in half.
The three angle bisectors intersect in a single point, the center of the triangle's incircle.
en.wikipedia.org /wiki/Triangle_(geometry)   (2072 words)

  
 [No title]   (Site not responding. Last check: 2007-10-09)
To reduce geometric distortion, the angle of the axis of the imaging light ray from the light source with respect to the normal to the fingerprint pattern surface is chosen close to the lower limit of possible observation angle range.
The angle range of the fingerprint pattern observability is limited by the values of the critical total internal reflection angle at the interface of the optical plate 2 with the ridges and valleys of the finger, correspondingly.
Converging mirror 404 receives the parallel beam of rays propagating at the angle Al with respect to the normal to the plane of the finger field 402; therefore, it is the angle Al that is responsible for the width of the optical plate 400.
www.wipo.int /cgi-pct/guest/getbykey5?KEY=01/88835.011122&ELEMENT_SET=DECL   (5020 words)

  
 Total Internal Reflection
Then suppose that the angle at which the beam is directed upwards is slowly altered, beginning with small angles of incidence and proceeding towards larger and larger angles of incidence.
That is, as the angle of incidence is increased, the brightness of the refracted ray decreases and the brightness of the reflected ray increases.
Since the light waves would refract away from the normal (a case of the SFA principle of refraction), the angle of refraction would be greater than the angle of incidence.
www.glenbrook.k12.il.us /gbssci/phys/Class/refrn/u14l3b.html   (1431 words)

  
 Olympus Microscopy Resource Center: Specialized Microscopy Techniques - Total Internal Reflection Fluorescence ...
Total internal reflection fluorescence is employed to investigate the interaction of molecules with surfaces, an area that is of fundamental importance to a wide spectrum of disciplines in cell and molecular biology.
As the incident angle slowly increases (relative to the normal), it reaches a point termed the critical angle where the refraction angle is 90 degrees.
When the incident angle is reduced from the supercritical range to the critical angle and lower, the longitudinal component disappears and the electric field component in the x-direction simultaneously vanishes.
www.olympusmicro.com /primer/techniques/fluorescence/tirf/tirfintro.html   (3932 words)

  
 Nikon MicroscopyU: Fluorescence Microscopy - Total Internal Reflection Fluorescence
With adjustment of the laser excitation incidence angle to a value greater than the critical angle, the illuminating beam is entirely reflected back into the microscope slide upon encountering the interface, and an evanescent field is generated in the specimen medium immediately adjacent to the interface.
Total internal reflection does not occur suddenly as a new phenomenon at the critical angle, but a continuous transition is followed from predominant refraction with a small amount of reflection, to total reflection when the critical angle is exceeded.
Once the critical angle is surpassed, further increases in the radial distance of the laser focal point from the lens axis serve to reduce the evanescent field penetration depth in a smooth and reproducible manner.
www.microscopyu.com /articles/fluorescence/tirf/tirfintro.html   (4510 words)

  
 Melles Griot Optics Guide - The Reflection of Light
This angle, called Brewster's angle, is the angle at which the reflected light is completely polarized.
The angle in the high-index material at which polarization occurs is smaller by the ratio of the refractive indices in accordance with Snell's law.
The internal polarizing angle is 33° 21' for a refractive index of 1.52, corresponding to the Brewster angle (56° 39') in the external medium, as shown in the figure below.
www.mellesgriot.com /products/optics/oc_2_1.htm   (1599 words)

  
 Total Internal Reflection   (Site not responding. Last check: 2007-10-09)
When light is incident upon a medium of lesser index of refraction, the ray is bent away from the normal, so the exit angle is greater than the incident angle.
The critical angle can be calculated from Snell's law by setting the refraction angle equal to 90°.
Total internal reflection is important in fiber optics and is employed in polarizing prisms.
hyperphysics.phy-astr.gsu.edu /hbase/phyopt/totint.html   (208 words)

  
 untitled   (Site not responding. Last check: 2007-10-09)
The internal angle bisector of an angle of a triangle divides the opposite side into two segments proportional to the sides of the triangle adjacent to the angle.
A segment aonnectin a vertex to a point on the opposite side is the internal angle bisector of the vertex if and only if it divides the opposite side into two segments proportional to the sides of the triangle adjacent to the angle.
The external angle bisector of an angle of a triangle (not isosceles) divides the opposite side (externally) into two segments proportional to the sides of the triangle adjacent to the angle.
pegasus.cc.ucf.edu /~xli/apollonius.htm   (188 words)

  
 Internal angle biography .ms   (Site not responding. Last check: 2007-10-09)
In geometry, an internal angle is an angle that 2 sides of a polygon form by touching.
The following rectangle has internal angles of 90 degrees.
The sum of the internal angles of a polygon can be obtained by the formula Sum=(n-2)180, where n is the number of sides.
www.biography.ms /Inner_angle.html   (49 words)

  
 Angled stripe superluminescent diode - Patent 4856014
The angled condition of the waveguide channels ensures that effective mirror losses at the facets exceed the modal gain of the device, so that lasing will not occur, even when the current and power are increased to high levels.
The critical angle for lateral guiding of light within the channel is given by the expression: ##EQU1## where n is the refractive index of the active layer of the device, and.DELTA.n.sub.lat is the difference between the refractive indices inside and outside the channel in a lateral sense.
The angle of inclination of the channel to the direction normal to the facet is selected to be at least half the critical angle above which total internal reflection does not occur in the channel waveguide.
www.freepatentsonline.com /4856014.html   (4492 words)

  
 PIRA 6A44.00 TOTAL INTERNAL REFLECTION   (Site not responding. Last check: 2007-10-09)
Vary the angle of incidence of ripple tank waves to a boundary with water depths of 13 and 3 mm.
Use the entrapped air slide in a water bath or air between right angle prisms to show the colors of the transmitted and reflected light near the critical angle.
The sideways displacement of a beam at total internal reflection is shown with 3 cm microwaves.
www.physics.ncsu.edu:8380 /pira/6optics/6A44.html   (593 words)

  
 The Physics Classroom
So the critical angle is defined as the angle of incidence which provides an angle of refraction of 90-degrees.
This equation for the critical angle can be used to predict the critical angle for any boundary, provided that the indices of refraction of the two materials on each side of the boundary are known.
Suppose that the angle of incidence of a laser beam in water and heading towards air is adjusted to 50-degrees.
www.physicsclassroom.com /Class/refrn/U14L3c.html   (939 words)

  
 Internal Angle, Mu-Ency at MROB
You can determine the internal angle of a given secondary continental mu-atom using Farey addition on the internal angles of its two larger neighbors.
You can also read the internal angle off the mu-atom's filaments by counting branches counterclockwise from the smallest branch to the mu-atom.
In general, if you know the internal angle, but don't know where the mu-atom is, you can locate the mu-atom by determining the internal angles of its two larger neighbors, and their larger neighbors, and so on.
www.mrob.com /pub/muency/internalangle.html   (423 words)

  
 Research
The amplitude of this torsional vibration and thus the range of internal rotation angles sampled, depends upon the quanta of energy present in this mode.
Instead there is a barrier to the internal rotation, which is just the energy difference between the staggered and eclipsed conformations.
Thus the classical motion of the internal rotor in these two states is "torsional", i.e.
classweb.gmu.edu /sdavis/research.htm   (466 words)

  
 Internal Angle Sum of Polygons
Let the exterior angles of a triangle be rearranged so that they have the same vertex as shown above.
Let the exterior angles of a rectangle be rearranged so that they have the same vertex as shown above.
The external angle sum of a polygon is 360º.
www.mathsteacher.com.au /year8/ch10_geomcons/02_internal/anglesum.htm   (168 words)

  
 Angle of Internal Friction for Pond Ashes
This paper examines the angle of repose of pond ashes and its relation with the angle of internal friction, using direct shear tests.
The angles of repose of sand and of quarry dust also are examined for comparison purposes.
A relationship between angle of internal friction for materials in the loose, dry condition and the angle of repose is established.
www.astm.org /JOURNALS/TESTEVAL/PAGES/524.htm   (285 words)

  
 Stylex Control Options
Task chairs where both back angle and seat angle adjustments are controlled by a single paddle and made simultaneously.
Back angle adjustment and seat angle adjustment are easily accomplished by using a single paddle.
Task chairs where both back angle and seat angle adjustments are controlled by separate paddles and made individually.
www.backbenimble.com /new/pages/stylex/control_options.htm?cont=1   (1171 words)

  
 [No title]
Cerebellopontine angle lesions are the predominant skull base neoplasms that affect the posterior fossa.
Radiologic-pathologic correlation: epidermoid tumor of the cerebellopontine angle.
Tumors of the temporal bone and cerebellopontine angle.
www.bcm.edu /oto/grand/110493.html   (1205 words)

  
 Accusizer, Particle Size Analysis, Laboratory Equipment, Powders,Suspensions, Sci-Tec Inc.
The slope of the line expressed in degrees is called the angle of internal friction.
Cohesion and angle of internal friction define a sample's flow characteristics and can be used to determine if a powder will or will not flow under various conditions
This produces extremely accurate values for cohesion and angle of internal friction and allows even small changes in a material's flow behavior to be measured.
sci-tec-inc.com /sheart.html   (293 words)

  
 StonyBrook
B)internal friction angle 30 degrees; bed friction angle 20 degrees,
C)internal friction angle 30 degrees; bed friction angle 25 degrees,
D)internal friction angle 30 degrees; bed friction angle 20 degrees; mass twice that of (A)
www.math.buffalo.edu /~pitman/glimm-stonybrook_files/slide0335.htm   (62 words)

  
 WK1655- Standard Test Method for Measurement of Superpave Gyratory Compactor (SGC) Internal Angle of Gyration Using ...
It is the responsibility of the user of this standard to establish appropriate safety and health practices and to determine the applicability of regulatory limitations prior to use.
Variations in the internal angle of gyration have shown to be sources of variability in the density of hot mix asphalt specimens compacted on superpave gyratory compactors.
A universal method for measuring the internal angle is needed to reduce the variability between compactors and ensure that the compactors are properly calibrated and maintained.
www.astm.org /DATABASE.CART/WORKITEMS/WK1655.htm   (197 words)

  
 SCATMECH: Reflection and transmission coefficients
Functions that return the reflection coefficients for s and p polarized light for a relative dielectric constant epsilon and incident angle theta.
Functions that return the sine and cosine of the internal transmission angle, from Snell's law.
The optical constant of the material is n and the incident angle is thetai, measured in vacuum.
physics.nist.gov /Divisions/Div844/facilities/scatmech/html/reflection.htm   (343 words)

  
 Unit 13 Review - Answers
A light ray in air is incident on an air to glass boundary at an angle of 45 degrees and is refracted in the glass of 30 degrees with the normal.
A beam of light in air is incident at an angle of 35 degrees to the surface of a rectangular block of clear plastic (n = 1.49).
reflection and transmission at an angle of 0 degrees
www.glenbrook.k12.il.us /gbssci/phys/reviews/63reviews/u13/u13ans3.html   (601 words)

  
 wall tent frame, wall tent pole, tent frames, internal frame, angle kit, traditional poles
Buy just the angles and finish your own frame using 1" EMT conduit which fits perfectly inside angles.
If you want to save money on cutting and shipping, buy just the angles and finish your own frame using 1" EMT conduit which fits perfectly inside angles.
The Angle Kit includes a cut list which is used to cut 1" conduit to make your own internal frame.
www.campingtent.biz /walltentpoles.html   (207 words)

  
 critical angle   (Site not responding. Last check: 2007-10-09)
Rotate the entire data sheet such that the incident LASER ray passes from the prism into the air as shown.
Measure the angle of incidence from the normal of the ray inside the semicircular prism.
Suggest uses of internal reflection in industry and the medical profession.
www.frontiernet.net /~jlkeefer/critical.htm   (185 words)

  
 angle bisectors
   The internal and external bisectors of a triangle have several interesting properties.
If the construction is repeated for all four circles we see that there are really three internal bisectors, and three external bisectors as the
.    Another interesting fact about this figure is that the three excircles are all externally tangent to the  Nine Point Circle (not shown in the figure), and the incircle is internally tangent to it.
www.pballew.net /Tribis.html   (377 words)

  
 Equilateral Hexagons
The order of the angles must be in in strict sequence CW or CCW.
Equilateral Hexagon F has six internal angles: 2
They are named G (dark green convex thin lense shape), H (green concave skewed thin lense shape), I (light green convex skewed thick lense shape), J (cyan concave thick lense shape).
www.geocities.com /jorgeluismireles/lenses   (575 words)

  
 Right Angles
A right angle is an internal angle which is equal to 90°
If you see the box in the corner, you are being told it is a right angle.
A right angle can be in any orientation or rotation as long as the internal angle is 90°
www.mathsisfun.com /rightangle.html   (81 words)

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