Perpendicular Lines, Theorems and Problems - Table of Content  (4/4)

Proposed Problem 228. Triangle, Midpoints, Exterior line, Perpendiculars lines.

Proposed Problem 227. Triangle, Centroid, Exterior line, Perpendicular lines, Parallel lines.  

Proposed Problem 226. Triangle, Centroid, Perpendicular lines, Parallel lines.  

Proposed Problem 224. Viviani's theorem, Isosceles triangle, Altitude, Distances, Point on the extension of the base, Perpendicular lines, Parallel lines.  

Proposed Problem 223. Viviani's theorem, Isosceles triangle, Altitude, Distances, Perpendicular lines, Parallel lines.  

Proposed Problem 222. Viviani's theorem, Equilateral triangle, Exterior point, Perpendicular lines, Distances.  

Proposed Problem 221. Viviani's theorem, Equilateral triangle, Interior point, Distances, Parallel lines.  

Proposed Problem 219. Rhombus, Perpendicular lines, arithmetic mean, Parallel lines.

Proposed Problem 218. Right triangle, Altitude and Projections, Perpendicular lines, Parallel lines.

Proposed Problem 217. Right triangle, Altitude and Projections, Perpendicular lines, Parallel lines.

Proposed Problem 207. Right Triangle, Hypotenuse, Inradius, Exradius relative to the hypotenuse, Perpendicular lines.  

Problem 206. Area of a Right Triangle, Inradius, and Exradius relative to the hypotenuse, Perpendicular lines.  

Proposed Problem 205. Right Triangle Area, Exradii relatives to legs or catheti, Perpendicular lines.  

Proposed Problem 204. Right Triangle, Incircle, Excircles, Inradius, Exradii, Perpendicular lines.  

Proposed Problem 203. Right Triangle, Excircles, Exradii, Hypotenuse, Perpendicular lines.

Proposed Problem 202. Right Triangle, Incicrle, Excircles relatives to catheti, Points of Tangency, Exradius, Semiperimeter, Perpendicular lines.  

Proposed Problem 201. Right Triangle, Excircles, Points of Tangency, Exradius, Semiperimeter, Perpendicular lines.  

Proposed Problem 200. Right Triangle, Incircle, Excircles, Points of Tangency, Inradius, Perpendicular lines.

Archimedes Arbelos and Square 2. Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation, Perpendicular lines.

Archimedes Arbelos and Square 1. Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation, Perpendicular lines.

Proposed Problem 179. Rhombus, Square, Diagonal, Angle, Perpendicular lines, Parallel lines.  

Proposed Problem 137. Orthic Triangle, Altitudes, Perpendicular, Incircle, Collinear Points, Parallelogram, Perpendicular lines.  

Proposed Problem 136. Orthic Triangle, Altitudes, Perpendicular lines, Concyclic Points.  

Proposed Problem 135. Orthic Triangle, Altitudes, Perpendicular, Perpendicular lines.  

Bottema's Theorem:
Triangle and Squares with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation.
Perpendicular lines.

Proposed Problem 112. Area of square and triangle.
Perpendicular lines.

The Pythagorean Curiosity Triangles and squares, fifteen conclusions.
Perpendicular lines, Parallel lines.

Triangle and Squares Theorem 1: with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation.
Perpendicular lines, Parallel lines.

Proposed Problem 91. Similar Triangles, Altitude, Perpendicular lines, Parallel lines.

Taylor Circle Theorem Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation, Perpendicular lines.
Henry Martyn Taylor and the blind student of mathematics

Proposed Problem 78: Angles of a Circle. Perpendicular and parallel lines, Midpoint, Diameter, Chord, Cyclic quadrilateral, Congruence.

Proposed Problem 76: Area of a Circle. Square, Circle, Circular Sector, Perpendicular lines.

Interactive Orthopole of a Triangle: Using TracenPoche Dynamic Geometry Software, Online Step-by-Step construction, manipulation, and animation, Perpendicular lines.

Proposed Problem 70: Squares inscribed in a triangle, Similarity.
Perpendicular lines, Parallel lines.

Proposed Problem 69: Square inscribed in a triangle, Similarity.
Perpendicular lines, Parallel lines.

Proposed Problem 62: Square Diagonal, Inscribed Circle, Perpendicular lines, Parallel lines.

Sangaku Geometry Theorem: Cyclic Quadrilateral. Inradii, Rectangle, Perpendicular lines, Parallel lines.

Interactive Hinged tessellation. Square tessellation - Dynamic Geometry.
Please be patient while the applet loads on your computer. This Java applet requires Java 1.3 or higher.
Perpendicular lines, Parallel lines.

Triangle and Squares 22
Perpendicular lines, Parallel lines. 

Triangle and Squares 20
Perpendicular lines, Parallel lines.

Proposed Problem 49. Angles and right triangle, Perpendicular lines.

Triangle and Squares 17, Perpendicular lines.

Problem 39. Triangle, Incircle, Bisector, Cyclic Quadrilateral and angles, Perpendicular lines.

Proposed Problem 29.
Right Triangle, altitude, incircle and inradius, Perpendicular lines. Ten conclusions.

Proposed Problem 27
Right Triangle, incircles and inradius, Perpendicular lines.

Eyeball Theorem: Animated Angle to Geometry Study.
Perpendicular lines, Parallel lines.

Proposed problem 20
Right Triangle, Perpendicular lines, Parallel lines, incircles and inradii.

Parallelogram with Squares theorem Thébault's Theorem.
Perpendicular lines 

Kurschak's Tile and Theorem. Jozsef Kurschak (Hungary, 1864-1933) An elegant and a purely geometric way of finding the area of a regular dodecagon.
 

Euclid's Elements Book I, 23 Definitions. One-page visual illustration.
Euclid's Elements Book. Index

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