One of the first problems of geometry metric I propose to my students is to start the geometric model analysis while we review the basic transformations studied in earlier.
The problem is posed as a real case study, spiced up with a story that varies as a deeper analysis, and I jokingly call “The Cool River Bridge”, or “problem of the two peoples and the bridge”.
There are books and books. Some serve mainly to balance a wobbly table, while, others, never cease to fascinate.
The geometry as ancient science is reflected in all aspects surrounding the history of the human. Her knowledge has allowed the development of painting, architecture, interpreting nature …
In particular the segment aureus, the so-called divine proportion or golden rule of geometry, systematically appears in all geometric models to be a basic theme of the training of our current engineers.
One of the hardest concepts to assimilate in the first classes of projective geometry is the improper point. An improper point is a point at infinity and can be translated or interpreted as an address.
While metric geometry two lines intersect or are parallel, in projective geometry always intersect at a point proper or improper, what does not change in any way the operation with this geometric-mathematical model.
Geometry and origami Stella is a book published by Homo Sapiens Ricotti transmitting “happiness” from the world of mathematics. The author takes us to the world of geometry “playing” from bases underlying topological a paper sheet.
A teaching resource certainly of great value that can be entered at different educational levels; allows “touch” mathematics from the realization of the geometric models that express perfection.
From the different solutions to the problem are proposed to obtain circumferences with angular conditions ( passing through a point, are tangent to a circle, forming an angle with a straight), we will analyze this solution using the application of the concepts of power used in the “Fundamental Problem Tangencies” ( PFT ).
The general model search can be the first step of a surveyor training. Later we discuss specific ways this particular problem that could simplify the tracking.
Retrieving some items from my students, that might disappear when deleting their blogs from the experience of educational innovation, I've seen this group Protagoras linking pi polygons and playfulness in a very successful.
The educational approach in the form of competition is a valuable resource that does not have to lose the rigorous training approaches. On the contrary, knowledge to explore critically and entertaining couple. This group of students has been successful in its approach, already quoted at the time.
One of the first articles I wrote my students in the group “Geometry Hicks” was about the most basic aspects of geometry: Topology. To them I was curious to the concept and, inadvertently, were deepening in the main aspects of an axiomatic logical system geometric: continuity.
We began the experience of introducing educational innovation blogs as tool for energizing the group and we were with this pearl. I never fail to learn from them.
Investment is a transformation that can solve problems with angular conditions. It can be applied directly or used to reduce other problems addressed simplest known nature.
The different approaches with which we can deal with a problem will be studied by developing a simple classic problem of tangents.
The investment is a homographic transformation that preserves the angular relationships (is in accordance). Its main application is the determination of geometry problems with angular conditions including solving are tangents exercises.
Dilation is a transformation that preserves homographic relations between two segments as homothetic, besides being parallel to each other, so determines and maintains similar figures angular relations (is in accordance).
Its main application is the determination of geometry problems with area ratios in similar figures; It is also useful for solving some exercises tangencies.
Problems of determination with known radius circles that meet geometric constraints are exercises of a similar nature to those seen for straight. Estos se resuelven mediante la intersección de lugares geométricos.
En particular, if we consider the line as infinite radius circumference, estaremos por tanto en el caso estudiado de determinación de rectas con condiciones angulares.
