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The caption in the article says that it is an elliptic cylinder that is represented, but most readers will see a circular cylinder with oblique plane sections (that are therefore elliptic). So, the image is not well suited for illustrating the text, and is more confusing than useful. In commons, the
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The equation for the semi-major axis a in the section
Properties/Cylindric sections appears to be wrong. With the current definition, it would imply that the semi-major axis becomes infinite if the cylinder is aligned with the normal of the secant plane. If the equation is changed to a=r /
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According to James Tanton a cylinder is a made from creating a base shape on a plane, making a congruent shape on a parallel plane and connecting each edge/point to the corresponding edge/point on the other base. This is not the definition that is on the
Cylinder page.
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The introduction is wrong. Cylinders are not limited to objects having a surface that is "a fixed distance from the axis" - this applies only to a circular cylinder. Can the last author please fix this and any other inconsistencies.
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only image that I have found that represents an elliptic cylinder is the one that is displayed here, but its labels do not correspond to this article. So, I'll edit the caption, but I am not very happy with this solution.
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cos(alpha), then the semi-major axis becomes the radius of the cylinder when the cylinder is normal to the plane. What is the source of this equation and is the equation for eccentricity also incorrect?
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In this particular case, it's clear that the side of the cylinder is perpendicular to the base. This could perhaps be pictured/stated more clearly. –
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There are several related concepts of 'cylinder' used in mathematics, and which one is more convenient depends on context. –
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which affects this page. Please participate on that page and not in this talk page section. Thank you. —
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until a consensus is reached, and readers of this page are welcome to contribute to the discussion.
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until a consensus is reached, and readers of this page are welcome to contribute to the discussion.
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Knowledge. If you would like to participate, please visit the project page, where you can join
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indicates the length of the side of the cylinder, which is greater than the real height by 1/cos(
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https://www.thegreatcourses.com/courses/geometry-an-interactive-journey-to-mastery
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Definition, does the parallell lines need to to be line segments of equal length?
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Tanton's definition is equivalent to that of the article's first paragraph.
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In the figure "A solid elliptic cylinder with the semi-axes..." height
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James Tanton also mentions this in his
Geometry course, sold at:
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As the move has been done, the (closed) discussion is now at
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is the angle of the cilinder axis to the normal to the base
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