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en.wikipedia.org/wiki/On_the_Sizes_and_Distances_(Aristarchus)

On the Sizes and Distances (of the Sun and Moon) (Περὶ μεγεθῶν καὶ ἀποστημάτων [ἡλίου ... The size of the Earth's shadow in relation to the Moon during a lunar eclipse; The angle between the Sun and Moon during a half moon is very close to .... where θ is the apparent radius of the Moon and Sun measured in degrees.

en.wikipedia.org/wiki/Eclipse

An eclipse is an astronomical event that occurs when an astronomical object is temporarily .... umbra and penumbra are applicable. This is because Earth's apparent diameter from the viewpoint of the Moon is nearly four times that of the Sun.

www.umich.edu/~lowbrows/astrophotos/alway/lunareclipse.html

A lunar eclipse happens when the Moon passes into the Earth's Shadow. .... and read off the diameter of the Earth's inner shadow (umbra) from the circle that ...

eclipse2017.nasa.gov/sites/default/files/Math_Challenge9_.pdf

The center-to-center distance between Earth and moon is 372,027 ... We can calculate the radius of moon shadow on the Earth's surface over North America.

www.michaelbeeson.com/interests/GreatMoments/Hipparchus.pdf

The event: a solar eclipse. ... Alexandria, one-fifth of the Sun had remained visible during the eclipse. ... same as 10/360 times the circumference of the earth.

www.khanacademy.org/partner-content/big-history-project/solar-system-and-earth/knowing-solar-system-earth/a/eratosthenes-of-cyrene

Measuring the Circumference of the Earth. More than 2,000 years ago Eratosthenes compared the position of the Sun's rays in two locations to calculate the ...

www.eso.org/public/outreach/eduoff/aol/market/experiments/basic/skills102.html

Computing the Size and the Distance of the Moon by Means of Eclipse Observations. 1. ... Then, try to estimate the diameter of the Earth's shadow. This is more ...

earthsky.org/space/coincidence-that-sun-and-moon-seem-same-size

Jun 26, 2013 ... The sun and moon appear the same size in Earth's sky because the sun's diameter is about 400 times greater - but the ... If an eclipse happens then, the outer part of the sun's surface will appear as a ring around the moon.

io9.com/5688939/how-to-measure-the-distance-from-the-earth-to-the-moon

Nov 13, 2010 ... The Moon passes within that shadow during a lunar eclipse. ... The largest is one Earth diameter wide at the base (8,000 miles) and 108 Earth ...

www.pas.rochester.edu/~blackman/ast104/eclipses.html

ANNULAR SOLAR ECLIPSES occur when a region on the Earth's surface is in ... eclipse the eclipse is partial, but such that the apparent diameter of the moon ...