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441 and one ways of proving the Pythagorean theorem / by Noemi G. Diloy ... [et al.].

By:

Diloy, Noemi G [author]

Material type: Text

TextLanguage: English Publication details: Indang, Cavite : Cavite State University- Main Campus, 2002.Description: vii, 356 pages : illustrations ; 28 cmContent type:

text

Media type:

unmediated

Carrier type:

volume

Subject(s):

DDC classification:

516.1 F82 2002

Online resources:

Click here to view thesis abstract and table of contents

Production credits:

Science High School, College of Education (CED)

Abstract: DILOY, NOEMI G., LEZARDA, LYNNE CHERIE P., PENALBA, JERILEE T., SITAO, CHARLIE G., Applied Research III, Secondary Education Laboratory School, Cavite State University, Indang, Cavite, March 2002. “441 and One Ways of Proving the Pythagorean Theorem”. This study entitled “441 and One Ways of Proving the Pythagorean Theorem” had the purposes of collecting as many existing proofs of the theorem as possible, classifying the collected proofs as to the different types that were identified by the researchers, and constructing the researchers’ own proof of the theorem. In the conduct of the study, the researchers followed the foregoing procedure: (1) gathering of data which included the conduct of researches in the CvSU library and visitation of other libraries in Manila; (2) collating and classification of proofs; (3) statistical analysis, consisting of frequency count and determination of percentages; and (4) construction of the researchers’ own proof of the theorem as inspired by the many proofs they have collected. Four hundred and forty-one proofs were gathered by the researchers, which were classified as Algebraic, Geometric, Quaternionic and Dynamic proofs. The statistical analysis showed that among the collected existing proofs, 27.21% or 120 were Algebraic proofs, 71.43% or 315 were Geometric proofs, 0.91% or 4 were Quaternionic proofs, and 0.45% or 2 were Dynamic proofs. The authors constructed another proof of the theorem. The proof was derived from Heron’s formula for finding the area of a triangle.

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Holdings ( 1 )
Title notes ( 5 )

Holdings
Item type	Current library	Collection	Call number	Materials specified	URL	Status	Notes	Date due	Barcode
Theses / Manuscripts	Ladislao N. Diwa Memorial Library Theses Section	Non-fiction	516.1 F82 2002 (Browse shelf(Opens below))		Link to resource	Room use only	RS-389		00000858

Research Study (Applied Research IV - - Agri-Science Curriculum) Cavite State University.

Includes bibliographical references.

Science High School, College of Education (CED)

DILOY, NOEMI G., LEZARDA, LYNNE CHERIE P., PENALBA, JERILEE T., SITAO, CHARLIE G., Applied Research III, Secondary Education Laboratory School, Cavite State University, Indang, Cavite, March 2002. “441 and One Ways of Proving the Pythagorean Theorem”.

This study entitled “441 and One Ways of Proving the Pythagorean Theorem” had the purposes of collecting as many existing proofs of the theorem as possible, classifying the collected proofs as to the different types that were identified by the researchers, and constructing the researchers’ own proof of the theorem.

In the conduct of the study, the researchers followed the foregoing procedure: (1) gathering of data which included the conduct of researches in the CvSU library and visitation of other libraries in Manila; (2) collating and classification of proofs; (3) statistical analysis, consisting of frequency count and determination of percentages; and (4) construction of the researchers’ own proof of the theorem as inspired by the many proofs they have collected.

Four hundred and forty-one proofs were gathered by the researchers, which were
classified as Algebraic, Geometric, Quaternionic and Dynamic proofs.

The statistical analysis showed that among the collected existing proofs, 27.21% or 120 were Algebraic proofs, 71.43% or 315 were Geometric proofs, 0.91% or 4 were Quaternionic proofs, and 0.45% or 2 were Dynamic proofs.

The authors constructed another proof of the theorem. The proof was derived from Heron’s formula for finding the area of a triangle.

Submitted to the University Library RS-389