In this project we try to find situations in daily life where geometrical notions can be effectively used. In particular, in the following examples the student discovers situations in which properties of similar triangles learnt in the classroom are useful. Students need to be made aware of the fact that the study of geometry arose in response to certain human needs. They should know about the use of geometry in our daily or real life. In this project, students will discover situations in daily life where geometrical concepts can be used effectively. In particular we find situations where the properties of similar triangles are useful and how to find height and distance of any object with the help of geometry and trigonometry.
Objective
1) To find breadth of a canal/river
2) To find the height of tree/tower
Prerequisite knowledge
1) Properties of similar triangles
2) Knowledge of trigonometry
3) Knowledge of finding height and distance
Methodology
1) to find breadth of a canal/river
a) Fix a pole at point B on the bank of the river directly opposite to a tree A on the other bank, as shown in fig.1.1.
b) Walk a known distance along the bank and fix another pole at C. Walk another known distance to a point D. From D, walk at right angle to the bank till the point P is reached such that P is directly in line with C and A i.e. P ,C & A are in a straight line , as shown in fig. P 11.
c) Measure the distance PD.
RESULT
1) Let BC = a unit, DC= b unit and PD= c
(These are all known distances)
2) Let the breadth of the river be d unit
3) Note that angle s ABC and PDC are similar,
4) Hence, AB/PD=BC/DC:  d/c = a/b:  d =ac/b.
5) Hence the breadth of the river =ac/b units
2) To find the height of a tower/ tree
A). Fix a ruler(in the vertical position) of known height in the shadow of the...
...
Polynomial long division
From Wikipedia, the free encyclopedia
In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division. It can be done easily by hand, because it separates an otherwise complex division problem into smaller ones. Sometimes using a shorthand version called synthetic division is faster, with less writing and fewer calculations.
Polynomial long division is an algorithm that implements the Euclidean division of polynomials, which starting from two polynomials A(the dividend) and B (the divisor) produces, if B is not zero, a quotient Q and a remainder R such that
A = BQ + R,
and either R = 0 or the degree of R is lower than the degree of B. These conditions define uniquely Q and R, which means that Q and Rdo not depend on the method used to compute them.

Example
Find the quotient and the remainder of the division of
the dividend by
the divisor.
The dividend is first rewritten like this:
The quotient and remainder can then be determined as follows:
1. Divide the first term of the dividend by the highest term of the divisor (meaning the one with the highest power of x, which in this case is x). Place the result above the bar (x3 ÷ x = x2).
2. Multiply the divisor by the result just...
...a psalm of life
A Psalm of Life  
by Henry Wadsworth Longfellow 

What the Heart of the Young Man Said to the Psalmist Tell me not, in mournful numbers, "Life is but an empty dream!" For the soul is dead that slumbers, And things are not what they seem. Life is real! Life is earnest! And the grave is not its goal; "Dust thou art, to dust returnest," Was not spoken of the soul. Not enjoyment, and not sorrow, Is our destined end or way; But to act, that each tomorrow Finds us farther than today. Art is long, and Time is fleeting, And our hearts, though stout and brave, Still, like muffled drums, are beating Funeral marches to the grave. In the world's broad field of battle, In the bivouac of Life, Be not like dumb, driven cattle! Be a hero in the strife! Trust no Future, howe'er pleasant! Let the dead Past bury its dead! Act,act in the living Present! Heart within, and God...
...Geometry in everyday lifeGeometry was thoroughly organized in about 300bc, when the Greek mathematician, Euclid gathered what was known at the time; added original work of his own and arranged 465 propositions into 13 books, called Elements.
Geometry was recognized to be not just for mathematicians. Anyone can benefit from the basic learning of geometry, which is to follow the lines reasoning.Geometry is one of the oldest sciences and is concerned with questions of shape, size and relative position of figures and with properties of space.
Geometry is considered an important field of study because of its applications in daily life.
Geometry is mainly divided in two ;
Plane geometry  It is about all kinds of two dimensional shapes such as lines,circles and triangles.
Solid geometry  It is about all kinds of three dimensional shapes like polygons,prisms,pyramids,sphere and cylinder.
Role of geometry in daily life
Role of geometry in the daily life is the foundation of physical mathematics. A room, a car, a ball anything with physical things is geometrically formed.
Geometry applies us to accurately calculate physical spaces.
In the world , Anything made use of geometrical constraints this is important...
...Geometry (Ancient Greek: γεωμετρία; geo "earth", metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths, areas, and volumes, with elements of a formal mathematical science emerging in the West as early as Thales (6th Century BC). By the 3rd century BC geometry was put into an axiomatic form by Euclid, whose treatment—Euclidean geometry—set a standard for many centuries to follow.[1] Archimedes developed ingenious techniques for calculating areas and volumes, in many ways anticipating modern integral calculus. The field of astronomy, especially mapping the positions of the stars and planets on the celestial sphere and describing the relationship between movements of celestial bodies, served as an important source of geometric problems during the next one and a half millennia. Both geometry and astronomy were considered in the classical world to be part of the Quadrivium, a subset of the seven liberal arts considered essential for a free citizen to master.
History of geometry
The earliest recorded beginnings of geometry can be traced to ancient Mesopotamia and Egypt in the 2nd millennium...
...have presented a similar design.
Margaret Koshoni developed the Cone Cooker to suit the needs of Nigerian women. Most people live in flats with balconies; the structure of the balconies will shade the CooKit and make a shadow. The Cone Cooker being placed on a stand has the advantage of elevation and the stand can be moved about without disturbing the cooking.
Medved et al., propose an interesting design (1996) called a 'SOLAR BALL'. It is an inflatable plastic ball with lower part of reflective material. The cooking vessel is kept at the base. It is an interesting variation but there appears to be some serious limitations with reference to size of the ball as well as size and handling of the cooking vessel.
Recently, the spherical geometry seems to have made a come back, and we see that at Auroville in India a 15 meter diameter mirror cooks food for over 1500 persons. A similar large solar bowl was built at the University of Mexico.
photovoltaic solar cells
PV cells are made from layers of semiconducting material, usually silicon. When light shines on the cell it creates an electric field across the layers. The stronger the sunshine, the more electricity is produced. Groups of cells are mounted together in panels or modules that can be mounted on your roof.
The power of a PV cell is measured in kilowatts peak (kWp). That's the rate at which it generates energy at peak performance in full direct sunlight during the summer. PV cells come in a...
...Running Head: Science
Science Meets RealLife
(College)
(Subject)
Science Meets RealLife
Scenario 1: You arrive home late at night. You walk up to the front door, unlock it, and reach in to turn on the light switch located just inside the front door. The light does not come on! Now what?
As a typical human being, you are compelled to undergo will go a mental as well as physical procedure of premise testing. It should be noted that, the process including the subsequent steps ensues quite swiftly in mind and, proceeding to this, you might not have had tags for the range of directions, which are much the scientific technique.
This could then be ensued by observation where the first instance is to encounter darkness, when you switch the lights on, no light and the darkness persists. Hence, a question follows, could the power out? In essence this would subsequently raise a hypothesis or a prediction by asserting that, if perchance the power is out, then the entire neighborhood ought to be dark when I look around. Eventually, this would lead to an experiment that is, observing if the neighborhood is lighted and this would be indirect evidence. Equally, this would be sustained by analysis of if the neighborhood houses have lights, if they do, this would mean the prediction or hypothesis failed and the conclusion would translate to rejecting the entire hypothesis....
...Possibilities of RealLife Teleportation
Have you ever watched an episode of Star Trek and wondered if the possibility of teleportation existed in reallife? Well, the good news is that it’s real! In 2008 for the first time ever in history, a team of scientists from the Joint Quantum Institute (JQI) at the University of Maryland was able to successfully teleport information directly from one atom to another over the distance of a meter. While this accomplishment isn’t as impressive as teleporting an actual human being, it’s still a significant scientific breakthrough that could lead to many possible future innovations.
The first question that many people may be wondering is what actually is teleportation? It is a hypothetical mode of transportation, in which matter is dematerialized in one location and recreated at a different place. In the show Star Trek, a character would walk into a transporter, be converted into an energy pattern, and then beamed to another target location. But in scientific terms, as Lee Tune explains in the article LongDistance Teleportation Between Two Atoms Achieved, teleportation is tied to a concept called quantum information processing. This is where “quantum information, such as the spin of a particle or the polarization of a photon, is transferred from one place to another, without traveling through any physical medium” (Tune). In the past, physicists have already...
...final stand on if the hypothesis worked or not. Then if I would like, I could publish my results. In this case I could write them down for my future personnel use. Hopefully my dinner will come out perfect, but if it doesn’t, I know my boyfriend will still say he likes it!
Part III.
The first topic that we studied in class that pertains to my everyday life would be the cell cycle. Without cells flowing through my body, I would cease to survive on this planet. This however will not affect me in having to change the way I live my life. I will still continue to eat the same foods that I do now, and work out the same as well. The cell cycle enables the cells to eventually divide. This is a very important aspect in life.
The next topic that affects my everyday life would be nonrenewable resources. These resources consist of oil, coal, or land. This affects me personally because once these materials run out, they will not be able to be replaced by the snap of one’s fingers. By learning about these resources, I have come to the conclusion that I must be more aware of using these resources in my daily life. My family uses coal for heating the house and for the grill. However, sense learning that coal is in fact a nonrenewable resource, I will be sure to not waste any heat in my house by leaving doors or windows open. I am also going to try and convince my family to use a propane...
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