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Everything about Simson line
Line constructed from a triangle
In geometry, given a triangle ABC and a point P on its circumcircle, the three closest points to P on lines AB, AC, and BC are collinear. The line through these points is the Simson line of P, named for Robert Simson. The concept was first published, however, by William Wallace in 1799, and is sometimes called the Wallace line. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Simson lineA 5-minute orientation
- Skim a recent paper: Wallace–Simson Theorem on Four Lines Parallel to a PlaneInfluential work since 2022
- Pick up a classic book: College geometryThe most-reprinted book on the subject
- Read the landmark paper: Countless Simson line configurationsCited 5 times
- Go sideways: Longuerre's theoremA closely related topic
- Go sideways: Pedal triangleA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Countless Simson line configurations
Auluck's generalization of the simson line property
2832. The Simson Line and the Cardioid
2915. The Simson line and the cardioid
Note III.—Simson-Line
2976. The Simson Line
The so-called Simson line
The so-called Simson line
🆕 Influential since 2022
đź“š Books worth reading
College geometryNathan Altshiller-Court · 1925- 📕New technologies for digital crime and forensicsChang-Tsun Li · 2011
- 📕A Short Compend Of The Historie Of The First Ten Persecvtions Mo- ved Against Christi- ans, Divided Into III. Centvries. Wherevnto Are Ad- ded in the end of euery Centurie treatises a- rising vpon occasion offered in the historie, clearely declaring the noveltie of Popish Religion, and that it neither flowed from the mouthes of Christs holy A- postles, neither was it confirmed by the blood of the holy Martyrs who died in these ten persecutions. ... (7 lines; crown-device)Patrick Simson · 1613
- 📕Fourteen songs from "When we were very young"H. Fraser-Simson · 1925
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
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