Albert Vitales Cruz PhD's Books

Circle’s True Pi Value Equals the Square Root of Ten

By: Albert Vitales Cruz PhD

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Circle’s True Pi Value Equals the Square Root of Ten

By: Albert Vitales Cruz PhD

The author of this book has discovered an innovative method of determining the True value of Pi ( = 10 = 3.1623 or 3.16227766016838). This new Pi value is derived from the geometric relationships among the circle’s components with the use of the Circle Theorem and Pythagorean Theorem. Figure 1 contains an inscribed circle in the square consisting of gridlines equally spaced into one-fourth of the side of the square or the diameter of the inscribed circle. The resulting precise Pi value is validated with the use of the Polygon Area formula, Binomial Theorem, and Quadratic Equation. This contemporary approach to finding the true Pi value reputes the traditional method of finding the Pi value. For the past four centuries, many mathematicians have attempted to find the precise Pi value. It began with measuring the circumference and the diameter of a circle and dividing the former by the latter. The erroneous Pi calculation began during the era of Archimedes of Syracuse circa 287–212 before the Christian era (BCE). Archimedes one of the greatest mathematicians of the ancient world introduced the approximate value of Pi as 3.14 (between 3-1/7 and 3-10/17 bound). Since then, humans have been trying to add more digits to the two-decimal placed Pi in an attempt to find a precise Pi which is still an approximation value.

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Xlibris Corporation

Published Date

ISBN 13

9798369402399

Diagnosis & Treatment of Uveitis

By: C Stephen Foster,Albert T Vitale

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Diagnosis & Treatment of Uveitis

By: C Stephen Foster,Albert T Vitale

Uveitis is inflammation of the middle layer of the eye, which is known as the uvea or uveal tract. It is a complex condition with a variety of causes and clinical manifestations, including injury, infection or an underlying condition. This 1200pp second edition brings ophthalmologists fully up to date with the latest developments in diagnosing and treating uveitis. Beginning with the basic principles of the disease, its diagnosis and management, the following sections discuss the treatment of numerous different infectious, non infectious, masquerade and autoimmune syndromes. Basic science, differential diagnosis, pathology and clinical management are discussed for each condition. Written by specialists from the Massachusetts Eye Research and Surgery Institution (MERSI) and John A Moran Eye Center in the USA, this comprehensive new edition includes 699 colour images and illustrations. Key points Comprehensive, second edition bringing ophthalmologists fully up to date with diagnosis and treatment of uveitis Discusses different uveitis syndromes – infectious, non infectious, masquerade and autoimmune Authored by US ophthalmic specialists Includes 699 full colour images and illustrations First edition published in 2001 by Saunders

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1326

Publisher

JP Medical Ltd

Published Date

ISBN 10

9350255723

ISBN 13

9789350255728

Circle’s True Pi Value Equals the Square Root of Ten

By: Albert Vitales Cruz PhD

Write a review Read reviews Take a Quiz Solve Book Puzzle

Circle’s True Pi Value Equals the Square Root of Ten

By: Albert Vitales Cruz PhD

Average ratings

N/A

Write a review

Solve jigsaw puzzle

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Publisher

Xlibris Corporation

Published Date

ISBN 13

9798369402399

Book's by Albert Vitales Cruz PhD

Circle’s True Pi Value Equals the Square Root of Ten

Circle’s True Pi Value Equals the Square Root of Ten

Diagnosis & Treatment of Uveitis

Diagnosis & Treatment of Uveitis

Circle’s True Pi Value Equals the Square Root of Ten

Circle’s True Pi Value Equals the Square Root of Ten

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