File:FS QR dia.png
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Captions
Summary[edit]
DescriptionFS QR dia.png |
English: Largest right isosceles triangle in a square
Deutsch: Größtes rechtwinkliges gleichschenkliges Dreieck in einem Quadrat |
Date | |
Source | Own work |
Author | Hans G. Oberlack |
General case[edit]
Segments in the general case[edit]
0) Base is the square of side length .
1) The side of the inscribed right triangle has the length
Perimeters in the general case[edit]
0) Perimeter of base square
1) Perimeter of the triangle
Areas in the general case[edit]
0) Area of the base square
1) Area of the inscribed triangle
Centroids in the general case[edit]
Centroid positions are measured from centroid point of the base shape
0) Centroid positions of the base square:
1) Centroid positions of the inscribed triangle: ,see Calculation 1
Normalised case[edit]
In the normalised case the area of the base is set to 1.
Segments in the normalised case[edit]
0) Segment of the base square
1) Segment of the inscribed triangle
Perimeters in the normalised case[edit]
0) Perimeter of base square
1) Perimeter of the inscribed triangle
S) Sum of perimeters:
Areas in the normalised case[edit]
0) Area of the base square
1) Area of the inscribed triangle
Centroids in the normalised case[edit]
Centroid positions are measured from the centroid point of the base shape
0) Centroid positions of the base square:
1) Centroid positions of the inscribed circle:
Distances of normalised centroids[edit]
The distance between the centroid of the base element and the centroid of the circle is:
Identifying number[edit]
Apart of the base element there is only one other shape allocated. Therefore the integer part of the identifying number is 1.
The decimal part of the identifying number is the decimal part of the sum of the perimeters and the distances of the centroids in the normalised case.
So the identifying number is:
Calculations[edit]
Calculation 1[edit]
Licensing[edit]
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- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 23:23, 12 March 2022 | 649 × 614 (16 KB) | Hans G. Oberlack (talk | contribs) | Uploaded own work with UploadWizard |
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Horizontal resolution | 59.06 dpc |
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Vertical resolution | 59.06 dpc |
Software used |