construct a perpendicular
1Perpendicular — In geometry, two lines or planes (or a line and a plane), are considered perpendicular (or orthogonal) to each other if they form congruent adjacent angles. The term may be used as a noun or adjective. Thus, referring to Figure 1, the line AB is… …
2Special cases of Apollonius' problem — In Euclidean geometry, Apollonius problem is to construct all the circles that are tangent to three given circles. Limiting cases of Apollonius problem are those in which at least one of the given circles is a point or line, i.e., is a circle of… …
3Heptadecagon — In geometry, a heptadecagon (or 17 gon) is a seventeen sided polygon.Heptadecagon constructionThe regular heptadecagon is a constructible polygon, as was shown by Carl Friedrich Gauss in 1796. Gauss was so pleased by this that he asked for one to …
4Euler's theorem in geometry — In geometry, Euler s theorem, named after Leonhard Euler, states that the distance d between the circumcentre and incentre of a triangle can be expressed as : d^2=R (R 2r) ,where R and r denote the circumradius and inradius respectively (the… …
5Problem of Apollonius — In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1); two circles are tangent if they touch at a single point. Apollonius of Perga (ca. 262 BC ndash; ca. 190 BC)… …
6Tangent lines to circles — In Euclidean plane geometry, tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs. Since the tangent line to a circle at a point P is perpendicular to the radius to …
7light — light1 lightful, adj. lightfully, adv. /luyt/, n., adj., lighter, lightest, v., lighted or lit, lighting. n. 1. something that makes things visible or affords illumination: All colors depend on light. 2. Physics …
8Law of cosines — This article is about the law of cosines in Euclidean geometry. For the cosine law of optics, see Lambert s cosine law. Figure 1 – A triangle. The angles α, β, and γ are respectively opposite the sides a, b, and c …
9Hypercycle (geometry) — In hyperbolic geometry, a hypercycle, hypercircle or equidistant curve is a curve whose points have the same orthogonal distance from a given straight line.Given a straight line L and a point P not on L, we can construct a hypercycle by taking… …
10Cissoid of Diocles — construction In geometry, the cissoid of Diocles is a cubic plane curve notable for the property that it can be used to construct two mean proportionals to a given ratio. In particular, it can be used to double a cube. It can be defined as the… …
