Unity Hypotenuse Model: Fig. WL & Fig. P

  • Context: Graduate 
  • Thread starter Thread starter Lasand
  • Start date Start date
  • Tags Tags
    Model Unity
Click For Summary

Discussion Overview

The discussion revolves around the Unity Hypotenuse Model, particularly focusing on its representation through worldlines and the Pythagorean treatment. Participants explore the implications of setting the hypotenuse of a right triangle to 1 and its utility in geometry, including the use of a unit circle as a reference object.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant introduces the Unity Hypotenuse Model and provides visual references for discussion.
  • Another participant expresses curiosity about the topic and prompts for questions.
  • Some participants note that the concept may not have been previously shown, referencing external links for comparison.
  • A participant finds it interesting that setting the hypotenuse to 1 can be useful when labeling the sides of the triangle differently.
  • Another participant discusses the deeper concept of using a unit circle in geometry and mentions the significance of using radians for angles.
  • There is a mention of additional resources that provide further insights, albeit with some noted errors in the draft.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are multiple viewpoints regarding the novelty of the concept and its implications in geometry. Some express interest while others seek clarification.

Contextual Notes

There are references to external resources that may contain inaccuracies, and the discussion includes assumptions about the familiarity with geometric concepts such as the unit circle and radians.

Physics news on Phys.org
Cool - do you have a question?
 
No further questions. I found it interesting that when the hypotenuse of a right angle triangle is set to 1, it can be so useful when the sides as variable proportions are labeled differently.
 
No further questions.
Indeed - there have been no questions at all so far.

The deeper concept is that of using a unit circle as a reference object in geometry.
It's why we use "radians" for angles, for example. I don't know what you think has not been shown before.

You also get a lot of useful stuff from putting the adjacent side equal to 1.

See:
http://www.scribd.com/doc/149266846/Math-Bits
(there are typos etc since this is still a draft - but see fig 3.)
 

Similar threads

Graduate What Is the Difference Between Triple Point and Melting Point?
  • · Replies 2 ·
Replies
2
Views
3K
How to Calculate Tension and Velocity in a Rotational System?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Simulating collecting efficency of a LiDAR
  • · Replies 2 ·
Replies
2
Views
2K
Ammeter in a problem, calculating currents
  • · Replies 4 ·
Replies
4
Views
8K
High School What is the connection between hurricanes, spiral galaxies, and sunflowers?
  • · Replies 6 ·
Replies
6
Views
3K
Solving the Sliding Block Problem: Fig. 4-48
  • · Replies 19 ·
Replies
19
Views
4K
Calculating time when SCR starts up
  • · Replies 30 ·
2
Replies
30
Views
5K
Mechanics of Materials - Shear and Compression
  • · Replies 5 ·
Replies
5
Views
7K
Machine parts, conic clutch two teachers, two different results
  • · Replies 5 ·
Replies
5
Views
3K
Dynamics: Forces at 90 and 45 degrees
  • · Replies 1 ·
Replies
1
Views
2K