How to Describe a Square on a Given Line AB

Step-by-Step Guide

1. 1

   Step 1: Erect AD at right angles to AB

   Hence the four sides are equal; therefore AC is a lozenge, and the angle A is a right angle.
   
   Therefore AC is a square (Def.
   
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2. 2

   Step 2: and make it equal to AB .

3. 3

   Step 3: Draw DC parallel to AB through D d

4. 4

   Step 4: and draw BC through B parallel to AD

5. 5

   Step 5: then AC is the square required.

6. 6

   Step 6: Demonstrate that because AC is a parallelogram

7. 7

   Step 7: AB is equal to CD ; and AB is equal to CD ; and AB is equal to to AD (by construction); therefore AD is equal to CD

8. 8

   Step 8: and AD is equal to BC .

9. 9

   Step 9: The supporting Propositions are provided above

10. 10

    Step 10: in reverse Proposition order (not by order of mention):

11. 11

    Step 11: Make use of helper articles when proceeding through this tutorial: See the article How to Create a Spirallic Spin Particle Path or Necklace Form or Spherical Border for a list of articles related to Excel

12. 12

    Step 12: Geometric and/or Trigonometric Art

13. 13

    Step 13: Charting/Diagramming and Algebraic Formulation.

Detailed Guide

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