NDLTD Global ETD Search
  • Refine Query
  • Source
  • Publication year
  • to
  • Language
  • 1
  • Tagged with
  • 2
  • 2
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

Search results

Showing 1 to 2 of 2 (0.05 seconds)

Spelling suggestions: "subject:"angle bisection"" "subject:"angle bisected""

1

A Variety of Proofs of the Steiner-Lehmus Theorem

Gardner, Sherri R 01 May 2013 (has links) (PDF)
The Steiner-Lehmus Theorem has garnered much attention since its conception in the 1840s. A variety of proofs resulting from the posing of the theorem are still appearing today, well over 100 years later. There are some amazing similarities among these proofs, as different as they seem to be. These characteristics allow for some interesting groupings and observations.
Steiner-Lehmus
isosceles
angle bisector
contradiction
Geometry and Topology
Mathematics
2

Trigonometry: Applications of Laws of Sines and Cosines

Su, Yen-hao 02 July 2010 (has links)
Chapter 1 presents the definitions and basic properties of trigonometric functions including: Sum Identities, Difference Identities, Product-Sum Identities and Sum-Product Identities. These formulas provide effective tools to solve the problems in trigonometry. Chapter 2 handles the most important two theorems in trigonometry: The laws of sines and cosines and show how they can be applied to derive many well known theorems including: Ptolemy¡¦s theorem, Euler Triangle Formula, Ceva¡¦s theorem, Menelaus¡¦s Theorem, Parallelogram Law, Stewart¡¦s theorem and Brahmagupta¡¦s Formula. Moreover, the formulas of computing a triangle area like Heron¡¦s formula and Pick¡¦s theorem are also discussed. Chapter 3 deals with the method of superposition, inverse trigonometric functions, polar forms and De Moivre¡¦s Theorem.
Sum Identities
Difference Identities
Double-Angle Identities
Product-Sum Identities
Sum-Product Identities
Ceva's Theorem
Menelaus's Theorem
Ptolemy's Theorem
Law of Sines
Law of Cosine
Euler Triangle Formula
Inverse Trigonometric Functions
Euler's Formula
De Moivre's Theorem
Pick's Theorem
Weitzenbock's Inequality
Heron' Formula
Polar Coordinates
Angle Bisector Formula
Brahmagupta's Formula
Median Formula
Stewart's Theorem
Parallelogram Law

Page generated in 0.0546 seconds