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We know that each of the lines which is a radius of the circle (the green lines) are the same length. Therefore each of the two triangles is isosceles and has a pair of equal angles. Also, if two tangents are drawn on a circle and they cross, the lengths of the two tangents (from the point where they touch the circle to the point where they cross) will be the same. The angle formed at the centre of the circle by lines originating from two points on the circle's circumference is double the angle formed on the circumference of the circle by lines originating from the same points. i.e. a = 2b. Products & Services
Cutting tool inserts are replaceable attachments for cutting tools. They typically contain the actual cutting edge.
Hypoid gears have specially formed teeth on a circular face that are driven by a worm-like drive on non-intersecting axes.
Form gages and form gaging systems are used to inspect parameters such as roundness, angularity, squareness, straightness, flatness, runout, taper and concentricity.
Herringbone gears use teeth with two opposing helices and transmit power and motion between parallel axes. They sometimes have a center groove.
Surface metrology equipment is used to measure the surface finish and/or geometry of engineering components. Surface texture and topology characteristics include surface roughness, contour, form, waviness and defects.
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Topics of Interest
As Geometer's Sketchpad sketches if you have a copy of that software installed on your computer. You can download a demo copy. You must also configure your browser to recognize Geometer's Sketchpad as...
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According to our development, congruence has been a relationship between segments or a relationship between angles. In Geometry we are accustomed to seeing congruence as a relationship between...
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To begin with, a theorem is a statement that can be proved. We shall not prove the theorems here, however. (Those from Euclid's First Book are proved here.) Rather, we will present each one with its...
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Roundness measurements are used to evaluate and control the quality of shafts, bearings, cylinders or other precision components. Roundness variations or out-of-roundness are measured by determining...
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Polychromators are common, spectrometer-type optical systems which scatter the spectrum and isolate the analytical lines of the elements to be analyzed. Paschen Runge polychromators consist of an...
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Technical Articles
Circle Theorems
- Equations, Theorems, and Formulas
Theorems of Plane Geometry
- Equations, Theorems, and Formulas
Triangle Congruence Theorems
- Equations, Theorems, and Formulas
Complex Numbers
- Measurements and Mathematics
Gamma Function
- Measurements and Mathematics
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