Hi all
The question being did the ancient Egyptians recognize actual Pi? on frequent occasions the retort being a resounding Nay. However, upon the Rhind Mathematical Papyrus {circa 1650 B.C.E} the Egyptian Scribe: Ahmes {A'h-mosè,} wrote:
“Cut off 1/9th.of a diameter and construct a square upon the remainder, this has the same area as the circle”
Initially we will follow the Ahmes instructions, sometimes to the letter, other times via various approaches, purely to test the validity of Pi being recognized likewise employed by the Egyptians. The magnificent Great Pyramid of Giza denoted as GP, the Ancient Gematria Values of particular “numbers”, phrases etc, denoted as Gem
Regarding the fraction 256:81 that produces a “Pi” approximation of 256 ÷ 81 = 3.160493827 the Egyptian scribe: Ahmes wrote upon the Rhind Mathematical Papyrus {circa 1650 B.C.E} Initially we will examine the connection between the Rhind Papyrus fraction {256:81} of 3.160493827…with actual Pi employing the Ahmes term “Cut off 1/9th”.
Likewise, we will examine the exact Ahmes process, afterward we will employ the Rhind Mathematical Papyrus fraction {256:81}, of 3.160493827…to explore additional options to obtain the identical result.
Therefore. a Circle of 336 Feet Radius has a Circumference of 2 x Pi x 336 = 2111.15026321…Feet.
The Area will be Pi x 336 x 336 = 354673.244219673…Square Feet
Following the instructions of Ahmes we would produce: A Radius of 336 Feet obtains a Diameter of 672 Feet that divided by 9 = 74.666 subsequently 672 Feet minus 74.666…= 597.333…Feet this is the side-length of the Ahmes Square, therefore 597.333… x 597.333 … = 356807.111…and this is the Rhind Papyrus fraction of 3.160493827…x 112896, obviously 336 x 336. Hence the 356807.111…multiplied by Pi afterward divided by the “Rhind” of 3.160493827…= 354673.244219673…exactly as prior
In other words: Pi ÷ 3.160493827…x 597.333…x 597.333…= 354673.244219673…
The Circle Circumference is Pi ÷ 3.160493827…x 2123.851851…= 2111.15026321… The 2123.851851…is the Musical Scale Pythagorean Minor Third {32:27} of 1.185185…x 1792 which is the Radius of 336 Feet multiplied by 5.333…that in one-ninth of 48, otherwise the GP height of 5760 Inches is 5.333…x 1080, the Lunar, Yin-Yang number
Regarding the 356807.111…this multiplied by 9 = 3211264 that divided by the Circle Circumference of 2111.15026321…= 1521.096842776…that multiplied by 86400 = 131422767.215927704…Feet which is the Mile of 5280 Feet multiplied by 24890.67560907… a tolerable Earth Equatorial Circumference, obviously in Miles
However, 24890.67560907… x Pi = 78196.3636…therefore the 1521.096842776…x Pi = 4778.666…that is one-ninth of exactly 43008 which is 67.2 x 640 the Acres in one Square Mile, obviously the 67.2 x 10 = 672 Feet the Circle Diameter.
The 78196.3636…x 11 = 860160 which, merely as an example, is the Platonic 25920 x 33.185185…this is 28 x 1.185185…the Pythagorean Minor Third {32:27}
Then again, the 1521.096842776…. multiplied by 1881 then divided by the British Admiralty Nautical Mile of 6080 Feet = 470.5893357…that multiplied by Pi = 1478.4 that multiplied by 0.247048429…= 365.23639767…another option regarding an Earth Year likewise 365.23639767…x 360000 ÷ 5280 = 24902.48165959…an improved Earth Equatorial Circumference in Miles.
The 1881 is the Metonic Cycle: 19 x 99 and this multiplied by 80 = 7920 the NC {Numerical Canon} Earth mean Diameter in Miles
The 1478.4 x 386.59090…= 571536 the GP base Area {756ft. x 756 ft} of 571536 Square Feet, the 386.59090…is exactly 337.5 Egyptian Feet of 1.14545…or 386.59090…is 225 Egyptian Cubits of 1.71818…and more besides
The 0.247048429…x Pi x Pi x Pi = 7.660051948…and this multiplied by 770 obtains exactly 5898.24 that minus 5068.8 = 829.44, the 5068.8 is a Greek Mile.
Otherwise, the 7.660051948…x 193.00130208333…= 1478.4 exactly. The 829.44 examined shortly, the 7.660051948…x 1001 = 7667.712 exactly, that is the Circle Diameter of 672 Feet multiplied by 11.410285714…that is exactly 6.656 Royal Egyptian Cubits of 1.714285…
The 6.656 x 91.384615…= 608.256 the Roman Furlong, the 91.384615…multiplied by the Maya “Super Number” 1366560 = 124882560 which is the 829.44, x 150562.5 which is the Sothic Cycle of 1460 x 103.125 that multiplied by 51.2 = 5280, the Mile, the 4th PWS member is 512, etc
The Circle Diameter of 2111.1502632123…is 193.00130208333…x 10.938528602…that multiplied by 4.84 = 52.94247843…this is Pi x 16.8521142857…one-seventh of 117.9648 that minus 101.376 = 16.5888 that minus 10.1376 = 6.4512 that minus 1.0368 = 5.4144 that minus 4.032 = 1.3824.
The 4.84 is a reduced 4840, the Square Yards in one Acre, the 101.376 is the longer value Greek Foot of 1.01376 increased, the 1.0368 is the shorter Greek Foot, the 1.3824 is the Sacred Foot {Canonical} Likewise 1.3824 is 1.428571…x 0.96768 the shorter value Roman Foot and the 1.428571…is the Astronomical
Megalithic Yard of 2.715428571…divided by 1.9008 that multiplied by 2560 = 4866.048 the Roman Mile, etc.
There is a great deal more I have written on this topic, for example one section relates: “Yet the exact 129696.875 is 42.94181565…x 3020.293227…this is Pi x Pi x Pi x Pi x Pi x Pi x Pi”
Another section relates “We can also include the Metre: 1 ÷ 0.3048 = 3.280839895013…hence twelve Metres is 3.280839895013…x 12 = 39.37007874015…that multiplied by 1.01285807291666…= 39.87630208333. The 1.01285807291666…x 589.75028121…= 597.333…as we have observed at commencement as 672 ÷ 9 = 74.666…subsequently 672 minus 74.666…= 597.333… the side-length of the Ahmes Square”
“And the 589.75028121…multiplied by the Feet/Metres factor: 0.3048 = 179.7558857142…that is one-seventh of exactly 1258.2912 which is the Circle Diameter of 672 Feet multiplied by 1.8724571428…and this multiplied by 280,000 = 524288 a Comma of Pythagoras component {531441:524288} The 39.87630208333…x 768 = 30625 the Square Root of this is 175”
As and when completed I shall place the essay within my website for those who wish to examine the data, if not, so be it, I will continue my journey of seeking the truth. However, I shall be incommunicado for at least one week, thereby allowing ample time for perusal should anyone wish to respond
Peace
Derek
The question being did the ancient Egyptians recognize actual Pi? on frequent occasions the retort being a resounding Nay. However, upon the Rhind Mathematical Papyrus {circa 1650 B.C.E} the Egyptian Scribe: Ahmes {A'h-mosè,} wrote:
“Cut off 1/9th.of a diameter and construct a square upon the remainder, this has the same area as the circle”
Initially we will follow the Ahmes instructions, sometimes to the letter, other times via various approaches, purely to test the validity of Pi being recognized likewise employed by the Egyptians. The magnificent Great Pyramid of Giza denoted as GP, the Ancient Gematria Values of particular “numbers”, phrases etc, denoted as Gem
Regarding the fraction 256:81 that produces a “Pi” approximation of 256 ÷ 81 = 3.160493827 the Egyptian scribe: Ahmes wrote upon the Rhind Mathematical Papyrus {circa 1650 B.C.E} Initially we will examine the connection between the Rhind Papyrus fraction {256:81} of 3.160493827…with actual Pi employing the Ahmes term “Cut off 1/9th”.
Likewise, we will examine the exact Ahmes process, afterward we will employ the Rhind Mathematical Papyrus fraction {256:81}, of 3.160493827…to explore additional options to obtain the identical result.
Therefore. a Circle of 336 Feet Radius has a Circumference of 2 x Pi x 336 = 2111.15026321…Feet.
The Area will be Pi x 336 x 336 = 354673.244219673…Square Feet
Following the instructions of Ahmes we would produce: A Radius of 336 Feet obtains a Diameter of 672 Feet that divided by 9 = 74.666 subsequently 672 Feet minus 74.666…= 597.333…Feet this is the side-length of the Ahmes Square, therefore 597.333… x 597.333 … = 356807.111…and this is the Rhind Papyrus fraction of 3.160493827…x 112896, obviously 336 x 336. Hence the 356807.111…multiplied by Pi afterward divided by the “Rhind” of 3.160493827…= 354673.244219673…exactly as prior
In other words: Pi ÷ 3.160493827…x 597.333…x 597.333…= 354673.244219673…
The Circle Circumference is Pi ÷ 3.160493827…x 2123.851851…= 2111.15026321… The 2123.851851…is the Musical Scale Pythagorean Minor Third {32:27} of 1.185185…x 1792 which is the Radius of 336 Feet multiplied by 5.333…that in one-ninth of 48, otherwise the GP height of 5760 Inches is 5.333…x 1080, the Lunar, Yin-Yang number
Regarding the 356807.111…this multiplied by 9 = 3211264 that divided by the Circle Circumference of 2111.15026321…= 1521.096842776…that multiplied by 86400 = 131422767.215927704…Feet which is the Mile of 5280 Feet multiplied by 24890.67560907… a tolerable Earth Equatorial Circumference, obviously in Miles
However, 24890.67560907… x Pi = 78196.3636…therefore the 1521.096842776…x Pi = 4778.666…that is one-ninth of exactly 43008 which is 67.2 x 640 the Acres in one Square Mile, obviously the 67.2 x 10 = 672 Feet the Circle Diameter.
The 78196.3636…x 11 = 860160 which, merely as an example, is the Platonic 25920 x 33.185185…this is 28 x 1.185185…the Pythagorean Minor Third {32:27}
Then again, the 1521.096842776…. multiplied by 1881 then divided by the British Admiralty Nautical Mile of 6080 Feet = 470.5893357…that multiplied by Pi = 1478.4 that multiplied by 0.247048429…= 365.23639767…another option regarding an Earth Year likewise 365.23639767…x 360000 ÷ 5280 = 24902.48165959…an improved Earth Equatorial Circumference in Miles.
The 1881 is the Metonic Cycle: 19 x 99 and this multiplied by 80 = 7920 the NC {Numerical Canon} Earth mean Diameter in Miles
The 1478.4 x 386.59090…= 571536 the GP base Area {756ft. x 756 ft} of 571536 Square Feet, the 386.59090…is exactly 337.5 Egyptian Feet of 1.14545…or 386.59090…is 225 Egyptian Cubits of 1.71818…and more besides
The 0.247048429…x Pi x Pi x Pi = 7.660051948…and this multiplied by 770 obtains exactly 5898.24 that minus 5068.8 = 829.44, the 5068.8 is a Greek Mile.
Otherwise, the 7.660051948…x 193.00130208333…= 1478.4 exactly. The 829.44 examined shortly, the 7.660051948…x 1001 = 7667.712 exactly, that is the Circle Diameter of 672 Feet multiplied by 11.410285714…that is exactly 6.656 Royal Egyptian Cubits of 1.714285…
The 6.656 x 91.384615…= 608.256 the Roman Furlong, the 91.384615…multiplied by the Maya “Super Number” 1366560 = 124882560 which is the 829.44, x 150562.5 which is the Sothic Cycle of 1460 x 103.125 that multiplied by 51.2 = 5280, the Mile, the 4th PWS member is 512, etc
The Circle Diameter of 2111.1502632123…is 193.00130208333…x 10.938528602…that multiplied by 4.84 = 52.94247843…this is Pi x 16.8521142857…one-seventh of 117.9648 that minus 101.376 = 16.5888 that minus 10.1376 = 6.4512 that minus 1.0368 = 5.4144 that minus 4.032 = 1.3824.
The 4.84 is a reduced 4840, the Square Yards in one Acre, the 101.376 is the longer value Greek Foot of 1.01376 increased, the 1.0368 is the shorter Greek Foot, the 1.3824 is the Sacred Foot {Canonical} Likewise 1.3824 is 1.428571…x 0.96768 the shorter value Roman Foot and the 1.428571…is the Astronomical
Megalithic Yard of 2.715428571…divided by 1.9008 that multiplied by 2560 = 4866.048 the Roman Mile, etc.
There is a great deal more I have written on this topic, for example one section relates: “Yet the exact 129696.875 is 42.94181565…x 3020.293227…this is Pi x Pi x Pi x Pi x Pi x Pi x Pi”
Another section relates “We can also include the Metre: 1 ÷ 0.3048 = 3.280839895013…hence twelve Metres is 3.280839895013…x 12 = 39.37007874015…that multiplied by 1.01285807291666…= 39.87630208333. The 1.01285807291666…x 589.75028121…= 597.333…as we have observed at commencement as 672 ÷ 9 = 74.666…subsequently 672 minus 74.666…= 597.333… the side-length of the Ahmes Square”
“And the 589.75028121…multiplied by the Feet/Metres factor: 0.3048 = 179.7558857142…that is one-seventh of exactly 1258.2912 which is the Circle Diameter of 672 Feet multiplied by 1.8724571428…and this multiplied by 280,000 = 524288 a Comma of Pythagoras component {531441:524288} The 39.87630208333…x 768 = 30625 the Square Root of this is 175”
As and when completed I shall place the essay within my website for those who wish to examine the data, if not, so be it, I will continue my journey of seeking the truth. However, I shall be incommunicado for at least one week, thereby allowing ample time for perusal should anyone wish to respond
Peace
Derek