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Home : Math Topics : Geometry : Euclidean/Plane Geom. : Constructions

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  Selected Sites   (see also All Sites in this category)

  1. Constructions with ruler and compass - Zef Damen
    A page that answers the question, What are ruler-and-compass constructions? With links to step-by-step drawings for constructions: bisecting a given angle; constructing: a line perpendicular to a given line that divides it into two equal parts; a line perpendicular to a given line passing through a given point on the line (or not on the line); the horizontal and vertical centerlines of a given circle; an equilateral triangle, given one side; an equilateral triangle inscribed in a given circle; a pentagon inscribed in a given circle; a hexagon, given one side, or inscribed in a given circle; a heptagon. more>>

  2. Geometric Constructions - Dave Rusin; The Mathematical Atlas
    An introduction to geometric constructions using a ruler and compass. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; selected topics; other web sites with this focus. more>>

  3. Geometric Construction with the Compass Alone - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
    Information and exercises about geometric constructions: almost everything you can do with a ruler and a compass you can do with the compass alone. more>>

  4. Geometry Construction Reference - Paul Kunkel
    The basics of compass and straightedge construction, with notes about The Instruments and What is a construction? Construct the perpendicular bisector or the midpoint of a line segment; given a point on a line, construct a perpendicular line through the given point; given a point not on a line, construct a perpendicular line through the given point; construct the bisector of an angle; an angle congruent to a given angle; a line through a given point, parallel to a given line; an equilateral triangle or a 60-degree angle; divide a line segment into n congruent line segments; construct a line through a given point tangent to a given circle; construct the center point of a given circle; a circle through three given points; circumscribe a circle about a given triangle; inscribe a circle in a given triangle. more>>

  5. Impossible Constructions - Math Forum, Ask Dr. Math FAQ
    Problems from antiquity: trisecting an angle, squaring the circle, duplicating (or doubling) the cube. more>>

  6. The Many Ways to Construct a Triangle - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
    In general, a triangle is defined by its three elements. SAS, ASA, and SSS provide three well-known examples but there are many more. Bogomolny provides a table of constructions (linked to constructions) and invites reader contributions. more>>


 

Mason error

 
component stack:   /library/branch.html
/library/dhandler
code stack:   /var/lib/mason/obj/library/branch.html:208
/usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Commands.pm:70
/var/lib/mason/obj/library/dhandler:90

debug info:   Debug file is '/var/lib/mason/debug/anon/1'.

raw_error





























raw error:
 






























error while executing /library/branch.html:
Server message number=1105 severity=17 state=4 line=1 text=Can't allocate space for object 'syslogs' in database 'catalog' because 'logsegment' segment is full/has no free extents. If you ran out of space in syslogs, dump the transaction log. Otherwise, use ALTER DATABASE or sp_extendsegment to increase size of the segment.
Statement=INSERT INTO keystorage ( keys ) VALUES ( '66226;13516;74508;17925;19758;17163;12146;76722;17186;63926;11766;6187;74440;64693;11764;9082;5121;77292;4876;3968;16276;75407;12317;11001;11767;7329;9019;6981;7918;2010;6594;5210;61405;62412;5865;12617;40408;...
HTML::Mason::Interp::__ANON__('Server message number=1105 severity=17 state=4 line=1 text=Can\'...') called at /usr/lib/perl5/site_perl/5.6.0/Forum/Key.pm line 284
Forum::Key::store('Forum::Key=HASH(0x8ed6c14)') called at /var/lib/mason/obj/library/branch.html line 208
HTML::Mason::Commands::__ANON__('passed_args', 'HASH(0x8e46370)', 'tree', 'topics', 'branch', 'constructions') called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Component.pm line 131
HTML::Mason::Component::run('HTML::Mason::Component::FileBased=HASH(0x8f1ab5c)', 'passed_args', 'HASH(0x8e46370)', 'tree', 'topics', 'branch', 'constructions') called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Request.pm line 653
require 0 called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Request.pm line 653
HTML::Mason::Request::comp('HTML::Mason::Request::ApacheHandler=HASH(0x8e22974)', '/library/branch.html', 'passed_args', 'HASH(0x8e46370)', 'tree', 'topics', 'branch', 'constructions') called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Commands.pm line 70
HTML::Mason::Commands::mc_comp('/library/branch.html', 'passed_args', 'HASH(0x8e46370)', 'tree', 'topics', 'branch', 'constructions') called at /var/lib/mason/obj/library/dhandler line 90
HTML::Mason::Commands::__ANON__('start_at', 1, 'num_to_see', 50, 'keyid', 38890773) called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Component.pm line 131
HTML::Mason::Component::run('HTML::Mason::Component::FileBased=HASH(0x8e6e254)', 'HTML::Mason::Component::FileBased=HASH(0x8e6e254)', 'start_at', 1, 'num_to_see', 50, 'keyid', 38890773) called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Request.pm line 653
require 0 called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Request.pm line 653
HTML::Mason::Request::comp('HTML::Mason::Request::ApacheHandler=HASH(0x8e22974)', 'Apache=SCALAR(0x8e0ab80)', 'HTML::Mason::Request::ApacheHandler=HASH(0x8e22974)', 'HASH(0x8e1b99c)', 'HTML::Mason::Component::FileBased=HASH(0x8e6e254)', 'start_at', 1, 'num_to_see', ...) called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Request.pm line 159
require 0 called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Request.pm line 159
HTML::Mason::Request::exec('HTML::Mason::Request::ApacheHandler=HASH(0x8e22974)', '/library/topics/constructions', 'start_at', 1, 'num_to_see', 50, 'keyid', 38890773) called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/ApacheHandler.pm line 914
HTML::Mason::ApacheHandler::handle_request_1('HTML::Mason::ApacheHandler=HASH(0x8de4734)', 'Apache=SCALAR(0x8e0ab80)', 'HTML::Mason::Request::ApacheHandler=HASH(0x8e22974)', 'HASH(0x8e23fb0)') called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/ApacheHandler.pm line 560
require 0 called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/ApacheHandler.pm line 560
HTML::Mason::ApacheHandler::handle_request('HTML::Mason::ApacheHandler=HASH(0x8de4734)', 'Apache=SCALAR(0x8e0ab80)') called at /etc/httpd/conf/handler.pl line 97
HTML::Mason::handler('Apache=SCALAR(0x8e0ab80)') called at /dev/null line 0
require 0 called at /dev/null line 0