Read The Pythagorean Proposition: Its Demonstration Analyzed and Classified

The Pythagorean Proposition: Its Demonstration Analyzed and Classified

Elisha Scott Loomis

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Description:From the foreword:The object of this work is to present to the future investigator, simply and concisely, what is known relative to the so-called Pythagorean Proposition, (known as the 47th proposition of Euclid and as Carpenter’s Theorem”), and to set forth certain metric proofs and the geometric figures pertaining thereto.It establishes that:First, that there are but four kinds of demonstration s for the Pythagorean proposition, viz.:I. Those based upon Linear Relations. (implying the Time Consept) the Algebraic Proofs.II. Those based upon Comparison of Areas (implying the Sace Cocept) – The Geometric Proofs.III. Those based upon Vector Operation (implying the Direction Concept) – The Quaternionic Proofs.IV. Those based upon Mass and Velocity (implying the Force Concept)—The Dynamic Proofs.Second, that the number of Algebraic proofs is limitless.Third, That there are only ten types of geometric figures from which a Geometric Proof can be deduced.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Pythagorean Proposition: Its Demonstration Analyzed and Classified. To get started finding The Pythagorean Proposition: Its Demonstration Analyzed and Classified, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: National Council of Teachers of Mathematics

Release: 1940

ISBN

Description: From the foreword:The object of this work is to present to the future investigator, simply and concisely, what is known relative to the so-called Pythagorean Proposition, (known as the 47th proposition of Euclid and as Carpenter’s Theorem”), and to set forth certain metric proofs and the geometric figures pertaining thereto.It establishes that:First, that there are but four kinds of demonstration s for the Pythagorean proposition, viz.:I. Those based upon Linear Relations. (implying the Time Consept) the Algebraic Proofs.II. Those based upon Comparison of Areas (implying the Sace Cocept) – The Geometric Proofs.III. Those based upon Vector Operation (implying the Direction Concept) – The Quaternionic Proofs.IV. Those based upon Mass and Velocity (implying the Force Concept)—The Dynamic Proofs.Second, that the number of Algebraic proofs is limitless.Third, That there are only ten types of geometric figures from which a Geometric Proof can be deduced.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Pythagorean Proposition: Its Demonstration Analyzed and Classified. To get started finding The Pythagorean Proposition: Its Demonstration Analyzed and Classified, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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The Pythagorean Proposition: Its Demonstration Analyzed and Classified

The Pythagorean Proposition: Its Demonstration Analyzed and Classified

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