Solving the mass of the Earth using 17th and 18th Century tools

[Johnnymac]

Solving the mass of the Earth using 17th and 18th Century tools...

Good afternoon, morning, evening everyone...

I am looking for a little guidance on how to solve for the mass of the Earth utilizing only tools and theories available to people in the 17th and 18th Century.

I have Newton's and Keplar's laws available...

 

[Yegor]

$$G\frac{M}{r^2}=g$$
Telescope was invented already, so r is available. g - also isn't big problem. The most difficult thing is to measure G. But there are some ways. This data is enough.

 

[HallsofIvy]

What does having a telescope have to do with finding r, the radius of the earth? That as calculated about a thousand years before the telescope was invented, wasn't it?

 

[Yegor]

Yes. It really was (if i remember correctly, even 2 thousand years before). Just when i started to think how to measure r, telescope was my first idea. If i lived in 18th century i would use it.
Sorry, i wasn't presice.

 

[Johnnymac]

Thank you both! Here's to solving!

 

[amt]

Several centuries ago, the radius of the Earth was found using the angles of the Sun rays formed on Earth. To find the mass you will probably have to use g=(G.m1.m2)/r^2. This means you will need the mass of another body, like the moon.

Not sure how else you could find the Mass of the earth.