Rule Scale

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How was the mass and the radius of the earth found?

Obviously it was not measured by using a huge metre rule/scale. so how were these values found?

The Indian astronomer Aryabhatta calculated the circumference of the Earth in about 500 AD and got a value less then 50 miles short of the currently accepted one! He used methods similar to Aristarchus, but with much better instruments. India's first satellite was named for him.

The "modern" value for the radius of the Earth comes from the work of Jean-Baptiste-Joseph Delambre and Pierre-François-André Méchain. Towards the end of the 18th century the French needed to rationalise their chaotic system of weights and measures. They decided the unit of length would be the metre and it would be defined as 1 millionth of the distance from the north pole to the equator. Obviously they couldn't measure the distance from the pole, but they were able to measure from Dunkirk to Barcelona. This was done by a process of triangulation, which actually did mean using a huge rule to get the length of at least one of the sides of one of the triangles!

The actual size of the Earth was calculated from their data by the world's first international scientific committee.

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4 PACK Engineer Triangular Metric Scale Ruler 120 1125 Multicolour 300mm
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SHINWA 58699 stainless CRACK SCALE
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SHINWA 58698 stainless CRACK SCALE 150 mm linear scale type
SHINWA 58698 stainless CRACK SCALE 150 mm linear scale type
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Starrett NEW B12 4R Combination Square Blade Scale Rule American Made
Starrett NEW B12 4R Combination Square Blade Scale Rule American Made
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Vintage Stainless Steel Ruler Rule Scale Machinist Tools 20CM X6A4
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USA BLEM PEC 2416R1 501 1001 321 64Rigid Black Chrome Machinist Rule Scale
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ENGINEERS SCALE 3PCS LS1401 3
ENGINEERS SCALE 3PCS LS1401 3
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Rule Scale SS 6 Long with 1 2 mm Graduation USA
Rule Scale SS 6 Long with 1 2 mm Graduation USA
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6 RULER Steel Drill Gauge Measurement SAE  MM Bit Index Diameter Size Scale
6 RULER Steel Drill Gauge Measurement SAE MM Bit Index Diameter Size Scale
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LS STARRETT 24 C604R RULE RULER SCALE TEMPERED STEEL MACHINIST TOOL USA
LS STARRETT 24 C604R RULE RULER SCALE TEMPERED STEEL MACHINIST TOOL USA
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Vintage Stainless Steel Ruler Rule Scale Machinist Tools 20CM M8F9
Vintage Stainless Steel Ruler Rule Scale Machinist Tools 20CM M8F9
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Bates Starrett Union 4 3 2 1 rule rules scale scales toolmaker tool
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Starrett C305R 6 satin rule scale 10ths 100rds 32nds 64ths toolmaker tool
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JK Vintage Stainless Steel Ruler Rule Scale Machinist Tools 20CM
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SHINWA 30cm Pick Up Ruler Metric Machinist Carpenter Scale Rule 13134 Japan
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34 006 N iGaging 6 Inch 150 MM Steel Scale Ruler Rule w 1 32 End Scale
34 006 N iGaging 6 Inch 150 MM Steel Scale Ruler Rule w 1 32 End Scale
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BROWN  SHARP SMALL STEEL 6 PC SCALE SET WITH HOLDER
BROWN SHARP SMALL STEEL 6 PC SCALE SET WITH HOLDER
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4Pcs Triangular Scale Plastic 12 Architectural Color Coded
4Pcs Triangular Scale Plastic 12 Architectural Color Coded
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12 Ruler STAINLESS STEEL 4R Rule Scale Machinist Engineer 1 8 1 16 1 32 1 64
12 Ruler STAINLESS STEEL 4R Rule Scale Machinist Engineer 1 8 1 16 1 32 1 64
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VINT STARRETT 6 SCALE NO 304 SRE  STARRETT DRILL PT ATTACH NO 22 C
VINT STARRETT 6 SCALE NO 304 SRE STARRETT DRILL PT ATTACH NO 22 C
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STARRETT C305R 6 FLEXIBLE RULE 6 INCH SCALE 5R GRADUATIONS + No 604R + 16 tape
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Brown Sharpe 1 2 4 rule rules scale scales machinist tools tool
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MagiDeal 4Pcs Triangular Metric Scale Ruler 120 175 125 1100 150 1125
MagiDeal 4Pcs Triangular Metric Scale Ruler 120 175 125 1100 150 1125
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Stainless Steel 6 Inch Ruler Scale Westcott 104414
Stainless Steel 6 Inch Ruler Scale Westcott 104414
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Starrett C635 6 Satin Chrome Metric Scale Ruler with Sleeve
Starrett C635 6 Satin Chrome Metric Scale Ruler with Sleeve
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SPI 600mm Scale Ruler 14 689 4
SPI 600mm Scale Ruler 14 689 4
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5XVintage Stainless Steel Ruler Rule Scale Machinist Tools 20CM S6L5 H1
5XVintage Stainless Steel Ruler Rule Scale Machinist Tools 20CM S6L5 H1
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4 Folding Plastic Ruler Metric Scale Multifunctional Measuring Angle Ruler
4 Folding Plastic Ruler Metric Scale Multifunctional Measuring Angle Ruler
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Shinwa 13544 Magnetic Scale Silver 100 cm
Shinwa 13544 Magnetic Scale Silver 100 cm
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SHINWA STAINLESS STEEL STRAIGHT RULER MEASURING DOUBLE SIDE SCALE 150MM
SHINWA STAINLESS STEEL STRAIGHT RULER MEASURING DOUBLE SIDE SCALE 150MM
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Vintage Lufkin No 20 Rule Scale Set Holder Machinist Aircraft Tool No Case
Vintage Lufkin No 20 Rule Scale Set Holder Machinist Aircraft Tool No Case
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Shinwa 600 mm Rigid Zero Glare Metric Machinist Rule Rule Scale 5mm
Shinwa 600 mm Rigid Zero Glare Metric Machinist Rule Rule Scale 5mm
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