# Day 64/67: Five Month GED, Lines and Laws, and Transporting Us To The Stars!

Ad Astra!    But, how do we get there?

Today’s reading discusses Newton’s proofs of Kepler’s earlier laws, based on both observation and mathematics.  After all, if we can see it, but don’t know how much food and fuel we need to get there, it might be a longer trip than we thought!

Newton’s Principia (Mathematical Principles of Natural Philosophy, 1687), the foundational work of modern science. Newton used classical geometry and the emerging techniques of differential and integral calculus to give mathematical derivations from general fundamental principles of essentially all the quantitative physical laws known at the time.One of the main achievements was the derivation of Kepler’s laws from an inverse square law for gravity …”

###### End of Week 17/18
 Day 64 lesson Grammar: Compound sentences Math: comparing slope of two or more lines Science: reading science history, with the help of a little math… Please see the Lesson plan for Day 64’s Exit Tickets (Day 63 … Day 65)

Actions:

1.) If two lines have both the same slope, and the same equation, then what are they?

2.) Please tell us where the information for today’s reading comes from, how you know that the sources are reliable, and who funded them.

Shira

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