Matthew Arcus
@matthewarcus.bsky.social
Courtesy of diamondgeezer.blogspot.com/2024/02/poly...
January 26, 2025 at 12:33 PM
Courtesy of diamondgeezer.blogspot.com/2024/02/poly...
Here's a picture:
January 6, 2025 at 7:28 PM
Here's a picture:
A nice variation on the traditional proof of Heron's formula. Given triangle ABC with incentre I, construct IG perpendicular to BI & complete the diagram as shown. Similar triangles show that LG = βγ/r and Euclid I.43 does the rest:
January 6, 2025 at 8:33 AM
A nice variation on the traditional proof of Heron's formula. Given triangle ABC with incentre I, construct IG perpendicular to BI & complete the diagram as shown. Similar triangles show that LG = βγ/r and Euclid I.43 does the rest:
A nice visual demonstration that 2025 = 45² = (1+2+3+4+5+6+7+8+9)² = 1³+2³+3³+4³+5³+6³+7³+8³+9³:
December 28, 2024 at 7:52 PM
A nice visual demonstration that 2025 = 45² = (1+2+3+4+5+6+7+8+9)² = 1³+2³+3³+4³+5³+6³+7³+8³+9³: