Common Segment Theorem Part 2

The last post I made last year was the Common Segment Theorem. In this post, I am going to discuss the converse of this theorem. The proof of these two theorems are very similar.   Consider the figure above. In the previous post, the Common Segment Theorem states that If then, . The following is […]
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The Transitivity of Whole Numbers

Introduction  The less than relation is an order relation of real numbers.  In this post, however, to prove one of its properties, we limit it to the set of whole numbers.  In the set of whole numbers, is less than , or in symbol, if and only if there exists a whole number such that . For […]
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