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Transcript
Euclid’s five postulates
Euclid was a great Greek mathematician. Although little
is known about his early and personal life, he contributed
greatly to mathematics and came to be known as the ‘Father
of Geometry’. Euclid’s five postulate are the laws of Euclidean
Geometry. These postulates, or rather laws, are still used today
after 2,276 years. That’s like your grandpa’s grandpa’s grandpa
going on 29 times (based on the average age of death at
78). The first postulate is a simple one, all it says is that if
you draw two points then you can connect them with a line,
pretty simple. The second postulate says that any straight line
segment can be extended indefinitely. This means that you
can stretch any line forever and ever. The third postulate is,
given any straight line segment, a circle can be drawn having
the segment as radius and one endpoint as center. This means
you can take any line segment and make a circle around it
while making the line segment the radius (from the center
to the circumference) of the circle. The fourth postulate is, all
right angles are congruent. This means that all 90o angles are
congruent or, on more simple terms the same.The fifth and
final postulate is the trickiest. It means if the sum of the two
angles A and B which are formed by the intersection L, L1 and
L2 sum up to less than two right angles then lines L1 and L2
meet on the side of angles A and B if continued indefinitely.
This last postulate has sparked controversy recently (by recently I mean a few hundred years). After the discovery of new
three dimensional geometry it has been made possible to create two lines that are intersected by another line making two
angles less than 90 degrees and have them never intersect.
Will Harris
In this project I investigated how I could mathematically:
1. Show how to graph fat throughout the stages of bread growth by
finding slope and y intercept to use in the equation y= mx+b.
2. To use bakers percentages for making recipes better and to cook
with recipes.
3. Show my math more visually by using a graph, image or equation.
this really helped me to explain my thinking
4. Construct Euclidian geometric shapes to make a nice looking construction on a cutting board.
This was the first loaf I ever made. I
wasn’t here the first week we made
bread, so I made lemon bread in a
bread maker. Suprisingly, the inside
tasted really good but the outside got a
little burnt. This was probably because
we didn’t butter the inside of the bread
maker. Our hydration percentage was
70% which is too high so it turned out
moist. I thought this was an essential
part of learning to make bread.
This was my group’s final product
for the Irish soda bread cinnamon
rolls. I thought that they tasted and
looked very delicious. The hydration
percentage for this loaf is 60% so it
is the perfect amount. I feel that I am
experienced enough now that I can
make more challenging bread recipes.