Does anyone have successful stories of teaching/ learning Geometry?Pattern recognition seems like the opposite of the logic and problem solving that is used in the Elements. I feel like I fail as a teacher when students can't work through a solution that they have not seen before.

Euclid's Elements. Book 1. Proposition 4. (SAS). Proof done by Superposition

If two triangles have two sides equal to two sides respectively, and have the angles contained by the equal straight lines equal, then they also have the base equal to the base, the triangle equals the triangle, and the remaining angles equal the remaining angles respectively, namely those opposite the equal sides.

Euclid's Elements. Book 1. Proposition 3

"To cut off from the greater of two given unequal straight lines a straight line equal to the less."

Euclid's Elements. Book 1. Proposition 2

"To place a straight line equal to a given straight line[BC] with one end at a given point[A]."

Euclid's Elements. Book 1. Proposition 1.

"To construct an equilateral triangle on a given finite straight line."

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A Mastodon instance for maths people. The kind of people who make \(\pi z^2 \times a\) jokes.

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