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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.

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.eso.org/astronomyonline/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 ...

www.eso.org/public/outreach/eduoff/aol/market/experiments/middle/skills201.html

Oct 28, 1996 ... II.1 Lunar Eclipse: The Moon's diameter and distance to the Earth. Before you start, beware that most of the following illustrations are wrong!

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 ...

blogs.scientificamerican.com/life-unbounded/the-solar-eclipse-coincidence

May 18, 2012 ... It's all a matter of alignment between Sun-Moon-Earth and our ... total solar eclipse will vary a little as the apparent sizes of Sun and Moon vary.

www.timeanddate.com/eclipse/umbra-shadow.html

When the Earth enters the Moon's shadow, we see a solar eclipse; when the ... Earth's surface during parts of the eclipse, meaning that its diameter is close to ...

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.