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MathsNotations

geometry

Geometry notations
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Geometry

xOy The Euclidean plane
Ox The x-axis of the Euclidean plane
Oy The y-axis of the Euclidean plane
A,\, B,\, C,\, \ldots Points in the Euclidean plane with certain coordinates A(x_A, y_A), B(x_B, y_B), C(x_C, y_C), etc.
AB The line that passes through points A and B
A - B - C} This says that the points A, B and C are collinear, i.e. there exists a unique line which passes through all of them.
[AB] The segment with endpoints A and B
|AB| The length of the segment with endpoints A and B
l_1 \parallel l_2 This says that the lines l_1 and l_2 are parallel, i.e. they do not have any points in common.
l_1 \perp l_2 This says that the lines l_1 and l_2 are perpendicular, i.e. they form a right angle at their point of intersection.
d(A, B) The distance between the points A and B
d(A, l) The distance between the point A and the line l
\angle O, \angle AOB The angle with vertex O and rays OA, OB
\triangle ABC The triangle with vertices A, B and C
\triangle ABC \equiv \triangle PQR This says that the triangles \triangle ABC and \triangle PQR are congruent, which means that
|AB| = |PQ| \qquad |AC| = |PR| \qquad |BC| = |QR|.
\triangle ABC \sim \triangle PQR This says that the triangles \triangle ABC and \triangle PQR are similar, which basically means
\frac{|AB|}{|PQ|} = \frac{|AC|}{|PR|} = \frac{|BC|}{|QR|}.
[ABCD] The quadrilateral with vertices A, B, C and D
\mathcal{A}_{\triangle ABC} The area of the triangle \triangle ABC
\mathcal{A}_{[ABCD]} The area of the quadrilateral [ABCD]
\mathcal{C}(O, R) The circle with center at the point O and radius equal to R