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[ | ||
{ | ||
"name": "Circle", | ||
"colors": "Red, Green, Blue, Orange", | ||
"price": 2, | ||
"rating": 4, | ||
"post": "blog/community/circle", | ||
"desc": "A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre" | ||
}, | ||
{ | ||
"name": "Square", | ||
"colors": "Red, Pink, Blue", | ||
"price": 4, | ||
"rating": 5, | ||
"post": "blog/building-squares", | ||
"desc": "A square is a regular quadrilateral, which means that it has four equal sides and four equal angles" | ||
}, | ||
{ | ||
"name": "Line", | ||
"colors": "Yellow, Blue", | ||
"price": 1, | ||
"rating": 3, | ||
"post": "blog/line", | ||
"desc": "Straight objects (i.e., having no curvature) with negligible width and depth" | ||
}, | ||
{ | ||
"name": "Rhombus", | ||
"colors": "Green", | ||
"price": 3, | ||
"rating": 5, | ||
"post": "#store", | ||
"desc": "A parallelogram in which a diagonal bisects an interior angle" | ||
}, | ||
{ | ||
"name": "Rectangle", | ||
"colors": "Red", | ||
"price": 2.99, | ||
"rating": 4, | ||
"post": "#store", | ||
"desc": "A square is a regular quadrilateral, which means that it has four equal sides and four equal angles" | ||
} | ||
] |
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noJSConfigInAssets: true | ||
writeStats: false |
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|
@@ -5,9 +5,10 @@ color: "#008080" | |
title: Acme Corporation | ||
copyright: Copyright © Acme Corporation™, 1990-2021. All Rights Reserved. | ||
email: [email protected] | ||
latex: true | ||
custom: true | ||
comments: true | ||
relatedPages: true | ||
related: true | ||
latex: true | ||
maxSearch: 5 | ||
form: | ||
api: https://api.staticforms.xyz/submit | ||
|
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--- | ||
title: Store | ||
menu: | ||
main: | ||
name: Store | ||
identifier: store | ||
weight: 35 | ||
post: Buy now | ||
--- | ||
|
||
Get some of the best digital shapes precisely created and properly maintained. |
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--- | ||
title: Circle | ||
product: Circle | ||
tags: ['shape', '2d'] | ||
Summary: A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre | ||
--- | ||
|
||
* A circle is the curve traced out by a point that moves in a plane so that its distance from a given point is constant. | ||
* The distance between any point of the circle and the centre is called the radius. | ||
* Specifically, a circle is a simple closed curve that divides the plane into two regions: an interior and an exterior. | ||
* In everyday use, the term "circle" may be used interchangeably to refer to either the boundary of the figure, or to the whole figure including its interior; in strict technical usage, the circle is only the boundary and the whole figure is called a disc. | ||
* A circle may also be defined as a special kind of ellipse in which the two foci are coincident and the eccentricity is 0, or the two-dimensional shape enclosing the most area per unit perimeter squared, using calculus of variations. | ||
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# Facts | ||
|
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Area: | ||
{{<latex>}}A = \pi r^2{{</latex>}} | ||
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Circumference: | ||
{{<latex>}}C = 2\pi r{{</latex>}} | ||
|
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Equation: | ||
{{<latex>}}x^2 + y^2 = r^2{{</latex>}} |
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--- | ||
title: Line | ||
product: Line | ||
tags: ['shape', '1d'] | ||
Summary: Straight objects (i.e., having no curvature) with negligible width and depth | ||
--- | ||
|
||
* In geometry, the notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and depth. | ||
* Lines are an idealization of such objects, which are often described in terms of two points or referred to using a single letter. | ||
* Until the 17th century, lines were defined as the first species of quantity, which has only one dimension, namely length, without any width nor depth, and is nothing else than the flow or run of the point which will leave from its imaginary moving some vestige in length, exempt of any width. | ||
* The straight line is that which is equally extended between its points. | ||
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# Facts | ||
|
||
Equation: | ||
{{<latex>}}\displaystyle y=mx+b{{</latex>}} |
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--- | ||
title: Rectangle | ||
product: Rectangle | ||
tags: ['shape', '2d', 'quadrilateral'] | ||
Summary: A rectangle is a quadrilateral with four right angles | ||
--- | ||
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* A parallelogram with at least one right angle | ||
* A parallelogram with diagonals of equal length | ||
* A parallelogram ABCD where triangles ABD and DCA are congruent | ||
* An equiangular quadrilateral | ||
* A quadrilateral with four right angles | ||
* A quadrilateral where the two diagonals are equal in length and bisect each other | ||
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# Facts | ||
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Perimeter: | ||
{{<latex>}}P = 2\ell + 2w = 2(\ell + w) {{</latex>}} | ||
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Area: | ||
{{<latex>}}A = \ell w{{</latex>}} |
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--- | ||
title: Rhombus | ||
product: Rhombus | ||
tags: ['shape', '2d', 'quadrilateral'] | ||
summary: A parallelogram in which a diagonal bisects an interior angle | ||
--- | ||
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* a parallelogram in which a diagonal bisects an interior angle | ||
* a parallelogram in which at least two consecutive sides are equal in length | ||
* a parallelogram in which the diagonals are perpendicular (an orthodiagonal parallelogram) | ||
* a quadrilateral with four sides of equal length (by definition) | ||
* a quadrilateral in which the diagonals are perpendicular and bisect each other | ||
* a quadrilateral in which each diagonal bisects two opposite interior angles | ||
* a quadrilateral ABCD possessing a point P in its plane such that the four triangles ABP, BCP, CDP, and DAP are all congruent | ||
* a quadrilateral ABCD in which the incircles in triangles ABC, BCD, CDA and DAB have a common point | ||
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# Facts | ||
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Area: | ||
{{<latex>}}\displaystyle K=a^{2}\cdot \sin \alpha =a^{2}\cdot \sin \beta {{</latex>}} (Based on sin of angle) | ||
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Equation: | ||
{{<latex>}}\displaystyle \left|{\frac {x}{a}}\right|\!+\left|{\frac {y}{b}}\right|\!=1 {{</latex>}} |
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--- | ||
title: Square | ||
product: Square | ||
tags: ['shape', '2d', 'quadrilateral'] | ||
Summary: A square is a regular quadrilateral, which means that it has four equal sides and four equal angles | ||
--- | ||
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||
* In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or 100-gradian angles or right angles). | ||
* It can also be defined as a rectangle in which two adjacent sides have equal length. | ||
* A rhombus with a right vertex angle | ||
* A rhombus with all angles equal | ||
* A parallelogram with one right vertex angle and two adjacent equal sides | ||
* A quadrilateral with four equal sides and four right angles | ||
* A quadrilateral where the diagonals are equal, and are the perpendicular bisectors of each other (i.e., a rhombus with equal diagonals) | ||
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# Facts | ||
|
||
Perimeter: | ||
{{<latex>}}P = 4\ell {{</latex>}} | ||
|
||
Area: | ||
{{<latex>}}A = \ell ^{2}{{</latex>}} | ||
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Equation (where x & y are sides): | ||
{{<latex>}}x^{2}+y^{2}=2{{</latex>}} |
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