skip to content
Excursions in advanced euclidean geometry Preview this item
ClosePreview this item
Checking...

Excursions in advanced euclidean geometry

Author: Alfred S Posamentier
Publisher: Menlo Park, Calif. : Addison-Wesley Pub. Co., ©1984.
Edition/Format:   Print book : English : Rev. edView all editions and formats
Database:WorldCat
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Additional Physical Format: Online version:
Posamentier, Alfred S.
Excursions in advanced euclidean geometry.
Menlo Park, Calif. : Addison-Wesley Pub. Co., ©1984
(OCoLC)622070686
Document Type: Book
All Authors / Contributors: Alfred S Posamentier
ISBN: 0201203596 9780201203592
OCLC Number: 10850901
Description: vi, 170 pages : illustrations ; 28 cm
Contents: Introduction --
1. Elementary Euclidean geometry revisited --
Review of basic concepts of geometry --
Exercises --
2. Concurrency of lines in a triangle --
Ceva's theorem --
Applications of Ceva's theorem --
The Gergonne point --
Exercises --
3. Collinearity of points --
Duality --
Menelaus' theorem --
Applications of Menelaus' theorem --
Desargues' theorem --
Pascal's theorem --
Variation on Pascal's theorem --
Brianchon's theorem --
Pappus' theorem --
The Simson line --
Radical axis --
Exercises --
4. Some symmetric points in a triangle --
Equiangular point --
A property of equilateral triangles --
A minimum distance point --
Exercises --
5. More triangle properties --
Angle bisectors --
Stewart's theorem --
Miquel's theorem --
Medians --
Exercises --
6. Quadrilaterals --
Centroid of a quadrilateral --
Cyclic quadrilaterals --
Ptolemy's theorem --
Exercises --
7. Equicircles --
Exercises --
8. The nine point circle --
Altitudes --
The nine point circle revisited --
Exercises --
9. The golden section and Fibonacci numbers --
The golden ratio --
Fibonacci numbers --
Lucas numbers --
Fibonacci and Lucas numbers in geometry --
The Golden rectangle revisited --
The golden triangle --
Exercises.
Responsibility: Alfred S. Posamentier.
More information:

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

All user tags (2)

View most popular tags as: tag list | tag cloud

Similar Items

Related Subjects:(2)

User lists with this item (1)

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/10850901> # Excursions in advanced euclidean geometry
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "10850901" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/2872007#Place/menlo_park_calif> ; # Menlo Park, Calif.
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/cau> ;
   schema:about <http://dewey.info/class/516.2/e19/> ;
   schema:about <http://id.worldcat.org/fast/940864> ; # Geometry
   schema:about <http://experiment.worldcat.org/entity/work/data/2872007#Topic/geometrie> ; # Geometrie
   schema:bookEdition "Rev. ed." ;
   schema:bookFormat bgn:PrintBook ;
   schema:copyrightYear "1984" ;
   schema:creator <http://experiment.worldcat.org/entity/work/data/2872007#Person/posamentier_alfred_s> ; # Alfred S. Posamentier
   schema:datePublished "1984" ;
   schema:description "Introduction -- 1. Elementary Euclidean geometry revisited -- Review of basic concepts of geometry -- Exercises -- 2. Concurrency of lines in a triangle -- Ceva's theorem -- Applications of Ceva's theorem -- The Gergonne point -- Exercises -- 3. Collinearity of points -- Duality -- Menelaus' theorem -- Applications of Menelaus' theorem -- Desargues' theorem -- Pascal's theorem -- Variation on Pascal's theorem -- Brianchon's theorem -- Pappus' theorem -- The Simson line -- Radical axis -- Exercises -- 4. Some symmetric points in a triangle -- Equiangular point -- A property of equilateral triangles -- A minimum distance point -- Exercises -- 5. More triangle properties -- Angle bisectors -- Stewart's theorem -- Miquel's theorem -- Medians -- Exercises -- 6. Quadrilaterals -- Centroid of a quadrilateral -- Cyclic quadrilaterals -- Ptolemy's theorem -- Exercises -- 7. Equicircles -- Exercises -- 8. The nine point circle -- Altitudes -- The nine point circle revisited -- Exercises -- 9. The golden section and Fibonacci numbers -- The golden ratio -- Fibonacci numbers -- Lucas numbers -- Fibonacci and Lucas numbers in geometry -- The Golden rectangle revisited -- The golden triangle -- Exercises."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/2872007> ;
   schema:inLanguage "en" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/622070686> ;
   schema:name "Excursions in advanced euclidean geometry"@en ;
   schema:productID "10850901" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/10850901#PublicationEvent/menlo_park_calif_addison_wesley_pub_co_1984> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/2872007#Agent/addison_wesley_pub_co> ; # Addison-Wesley Pub. Co.
   schema:workExample <http://worldcat.org/isbn/9780201203592> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/10850901> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/2872007#Agent/addison_wesley_pub_co> # Addison-Wesley Pub. Co.
    a bgn:Agent ;
   schema:name "Addison-Wesley Pub. Co." ;
    .

<http://experiment.worldcat.org/entity/work/data/2872007#Person/posamentier_alfred_s> # Alfred S. Posamentier
    a schema:Person ;
   schema:familyName "Posamentier" ;
   schema:givenName "Alfred S." ;
   schema:name "Alfred S. Posamentier" ;
    .

<http://experiment.worldcat.org/entity/work/data/2872007#Place/menlo_park_calif> # Menlo Park, Calif.
    a schema:Place ;
   schema:name "Menlo Park, Calif." ;
    .

<http://id.worldcat.org/fast/940864> # Geometry
    a schema:Intangible ;
   schema:name "Geometry"@en ;
    .

<http://worldcat.org/isbn/9780201203592>
    a schema:ProductModel ;
   schema:isbn "0201203596" ;
   schema:isbn "9780201203592" ;
    .

<http://www.worldcat.org/oclc/622070686>
    a schema:CreativeWork ;
   rdfs:label "Excursions in advanced euclidean geometry." ;
   schema:description "Online version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/10850901> ; # Excursions in advanced euclidean geometry
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.