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  • Aristarchus
Finding the Size of the Sun and Moon
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In this activity, learners build a simple pinhole viewer. They use this ... More

In this activity, learners build a simple pinhole viewer. They use this apparatus to project images from a variety of light sources, including a candle, the Sun, and the Moon. Learners will use the pinhole viewer to measure the size of the Sun and the Moon. This activity can also be used to demonstrate how cameras work in a basic sense. Less

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Subject:
Engineering
Education
Mathematics
Algebra
Astronomy
Chemistry
Physics
Material Type:
Activities and Labs
Instructional Material
Provider:
Science and Math Informal Learning Educators (SMILE)
U.C. Berkeley
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
SMILE Pathway
Author:
Space Sciences Laboratory, UC Berkeley
The Center for Science Education @ Space Sciences Laboratory, UC Berkeley
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SizesProp01
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Proposition 1 of the book On Sizes states that two equal spheres ... More

Proposition 1 of the book On Sizes states that two equal spheres are comprehended by one and the same cylinder, and two unequal spheres by one and the same cone which has its vertex in the direction of the lesser sphere; and the straight line dra Less

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Subject:
Geometry
Material Type:
Simulations
Provider:
GeoGebra
Provider Set:
GeoGebraTube
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SizesProp02
Conditions of Use:
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Proposition 2 of the book On Sizes states that if a sphere ... More

Proposition 2 of the book On Sizes states that if a sphere be illuminated by a sphere greater than itself, the illuminated portion of the former sphere will be greater than a hemisphere (Heath 1913:358). Less

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Subject:
Geometry
Material Type:
Simulations
Provider:
GeoGebra
Provider Set:
GeoGebraTube
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SizesProp03
Conditions of Use:
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Proposition 3 of the book On Sizes states that the circle in ... More

Proposition 3 of the book On Sizes states that the circle in the moon which divides the dark and the bright portions is least when the cone comprehending both the sun and the moon has its vertex at our eye (Heath 1913:362). Less

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Subject:
Geometry
Material Type:
Simulations
Provider:
GeoGebra
Provider Set:
GeoGebraTube
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SizesProp04
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Proposition 4 of the book On Sizes states that the circle CD ... More

Proposition 4 of the book On Sizes states that the circle CD which divides the seen and the unseen portions of the moon is not perceptibly different from a parallel great circle EF on the moon (Heath 1913:365). Less

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Subject:
Geometry
Material Type:
Simulations
Provider:
GeoGebra
Provider Set:
GeoGebraTube
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SizesProp06
Conditions of Use:
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Proposition 6 of the book On Sizes states that the moon moves ... More

Proposition 6 of the book On Sizes states that the moon moves [in an orbit] lower than [that of] the sun, and, when it is halved, is distant less than a quadrant from the sun (Heath 1913:372). Less

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Subject:
Geometry
Material Type:
Simulations
Provider:
GeoGebra
Provider Set:
GeoGebraTube
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SizesProp07
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Proposition 7 of the book On Sizes states that the distance of ... More

Proposition 7 of the book On Sizes states that the distance of the sun from the earth is greater than 18 times, but less than 20 times, the distance of the moon from the earth (Heath 1913:377). In other words, the sun is 18 to 20 times farther aw Less

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Subject:
Geometry
Material Type:
Simulations
Provider:
GeoGebra
Provider Set:
GeoGebraTube
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SizesProp13
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Proposition 13 of the book On Sizes states that the straight line ... More

Proposition 13 of the book On Sizes states that the straight line subtending the portion intercepted within the earth's shadow of the circumference of the circle in which the extremities of the diameter of the circle dividing the seen and the uns Less

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Subject:
Geometry
Material Type:
Simulations
Provider:
GeoGebra
Provider Set:
GeoGebraTube
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SizesProp14
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Proposition 14 of the book On Sizes states that the straight line ... More

Proposition 14 of the book On Sizes states that the straight line joined from the centre of the earth to the centre of the moon has to the straight line cut off from the axis towards the centre of the moon by the straight line subtending the [cir Less

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Subject:
Geometry
Material Type:
Simulations
Provider:
GeoGebra
Provider Set:
GeoGebraTube
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SizesProp15
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Proposition 15 of the book On Sizes states that the diameter of ... More

Proposition 15 of the book On Sizes states that the diameter of the sun has to the diameter of the earth a ratio greater than 19/3, but less than 43/6 (Heath 1913:403). This means that the sun is (a mean of) 6_ times wider than earth, or that the Less

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Subject:
Geometry
Material Type:
Simulations
Provider:
GeoGebra
Provider Set:
GeoGebraTube
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SizesProp17a
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Proposition 17a in al-Tusi's medieval Arabic version of the book On Sizes ... More

Proposition 17a in al-Tusi's medieval Arabic version of the book On Sizes states that the ratio of the distance of the vertex of the shadow cone from the center of the moon (when the moon is on the axis of the cone containing the earth and the su Less

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Subject:
Geometry
Material Type:
Simulations
Provider:
GeoGebra
Provider Set:
GeoGebraTube
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2002 gnirpS ,ngiseD gnireenignE liviC ot noitcudortnI
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.)310.1( tcejbus ngised enotspac eht dna )150.1 ,140.1 ,130.1( stcejbus ngised aera ... More

.)310.1( tcejbus ngised enotspac eht dna )150.1 ,140.1 ,130.1( stcejbus ngised aera ytlaiceps tneuqesbus eht ni desu si hcihw decudortni si esac ngised egral A .naps efil detcepxe dna ,srotcaf laicos dna cimonoce ,tnemnorivne larutan ,tnemnorivne tliub gnitsixe eht fo noitaredisnoc sa llew sa sehcaorppa lacinhcet snrecnoc ylticilpxe ngised tcejorP .)sdaor dna segdirb ,sgnidliub ,.g.e( seitilicaf tliub no sisahpme na htiw ,sesac ngised lareves sedulcnI .gnireenigne livic ni secitcarp dna seussi ngised sa llew sa ,gnivlos-melborp evitaerc dna ngised gnireenigne fo seuqinhcet dna ,sloot ,yroeht eht ot stneduts secudortnI Less

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