441 and one ways of proving the Pythagorean theorem / by Noemi G. Diloy ... [et al.].
Material type: TextLanguage: English Publication details: Indang, Cavite : Cavite State University- Main Campus, 2002.Description: vii, 356 pages : illustrations ; 28 cmContent type:- text
- unmediated
- volume
- 516.1 F82 2002
- Science High School, College of Education (CED)
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