Wednesday, June 13, 2007
Ancient, Modern, and Fantasy Maps: Ptolemy, GPS, and Tolkien
Lots of people love old maps. A 500 BC map, the Soleto Map was recently unearthed in southern Italy.
We have a special fondness for Ptolemy and his geography. His original maps don't exist, but he was rediscovered in the 1300's, and maps were made based on his descriptions in text. The beautiful map below is based on Ptolemy's coordinate system (before Descartes!). Ptolemy's maps would influence navigation for 1500 years, but his inaccuracies about the Earth's circumference (Eratosthenes was closer) were thought to be responsible for Columbus' underestimate of the time it would take to sail around the world.
Maps are often an essential feature of many tales of fantasy and mythology. J.R.R. Tolkien used map throughout his books to make his worlds more vivid and his son Christopher illustrated many maps like the one below.
If you have spatially-gifted kids, they may love to explore the History of Cartography, as well as the high tech combination Google Earth / NASA plus sites like Flash Earth. GPS / GIS technology has excited today's students about Modern Cartography and some may consider cartography as a career.
If you have GPS, a fun summer activity is Geocaching with the kids. Here's another site with ideas for geocaching with your family and the official Global GPS Cache Hunt Site.
References:
Mathematics and Maps pdf
Ptolemy and his Maps at Wikipedia
Ptolemy's Works at the Vatican
Tolkien and Maps Cliff Notes Lord of the Rings
Labels:
art,
history of science,
math,
navigation,
Ptolemy,
Tolkien
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Previous Latin Sayings of the Week
"Soli deo gloria." - For the glory of God alone.
Christus resurrexit! Vere resurrexit! - Christ is Risen! He is risen, indeed!
"Lex malla, lex nulla." - St. Thomas Aquinas
"Cantantes licet usque (minus via laedit) eamus. " - Let us go singing as far as we go: the road will be less tedious.
"Caelitus mihi vires." - My strength is from heaven.
"Magnificat anima mea Dominum, et exsultavit spiritus meus in Deo Salvatore meo" - My soul doth magnify the Lord, and my spirit hath rejoiced in God my Savior (Luke 1:45)
In Omnibus Ipse Primatum Tenens “That in all things He (Christ) might have the preeminence.” (Colossians 1:16-18)
"Qui bene cantat bis orat." - He who sings well, prays twice - (St Augustine)
"Nos fecisti ad te et inquietum est cor nostrum donec requiescat in te." - Thou hast made us for Thyself, O Lord, and our hearts are restless until they rest in Thee. (St Augustine)
"Caelitus mihi vires." - My strength is from heaven.
"Ubi caritas et amor Deus ibi est." - Where there is charity and love, God is there.
"Nisi credideritis, non intelligetis ."
Unless you will have believed, you will not understand. - St Augustine
"Deo vindice" - With God as Protector
"Credite amori vera dicenti." - Believe love speaking the truth. (St. Jerome)
De vitiis nostris scalam nobis facimus, si vitia ipsa calcamus." - If we tread our vices under feet, we make them a ladder to rise to higher things. (St. Augustine)
Dei gratia - By the grace of God
Verbum Domini Manet in Aeternum. - The Word of the Lord Endures Forever.
"Est autem fides credere quod nondum vides; cuius fidei merces est videre quod credis." - Faith is to believe what you do not see; the reward of this faith is to see what you believe. (St. Augustine)
"Deo iuvante" - with God's help
"Ut In Omnibus Glorificetur Deus." - That God may be glorified in all things
"Pax vobiscum." Peace be with you.
"Jubilate Deo." Be joyful in the Lord.
"Ille vir, haud magna cum re, sed plenus fidei." He is a man, not of ample means, but full of good faith.
"Facit enim mihi magna qui potens est." - For He that is mighty does to me great things.
"Oremus semper pro invicem." - Let us ever pray for each other.
"Distrahit animum librorum multitudo." - Seneca
A multitude of books distracts the mind.
"Nullam est nunc dictum, quod sit non dictum prius." - Terence
There is nothing said now, that has not been said before.
"Nosce te ipsum." - Plato
Know thyself.
"Non mihi, non tibi, sed nobis" - Not for you, not for me, but for us.
"Primum non nocere." - First, do no harm (Hippocrates)
"Est autem fides credere quod nondum vides; cuius fidei merces est videre quod credis." - Faith is to believe what you do not see; the reward of this faith is to see what you believe. (St. Augustine)
"Deo iuvante" - with God's help
"Ut In Omnibus Glorificetur Deus." - That God may be glorified in all things
"Pax vobiscum." Peace be with you.
"Jubilate Deo." Be joyful in the Lord.
"Ille vir, haud magna cum re, sed plenus fidei." He is a man, not of ample means, but full of good faith.
"Facit enim mihi magna qui potens est." - For He that is mighty does to me great things.
"Oremus semper pro invicem." - Let us ever pray for each other.
"Distrahit animum librorum multitudo." - Seneca
A multitude of books distracts the mind.
"Nullam est nunc dictum, quod sit non dictum prius." - Terence
There is nothing said now, that has not been said before.
"Nosce te ipsum." - Plato
Know thyself.
"Non mihi, non tibi, sed nobis" - Not for you, not for me, but for us.
"Primum non nocere." - First, do no harm (Hippocrates)
"Dei plena sunt omnia." - Cicero (All things are full of God.)
"Lex malla, lex nulla." - St. Thomas Aquinas
(A bad law is no law.)
"Cantantes licet usque (minus via laedit) eamus. " - Let us go singing as far as we go: the road will be less tedious.
"Caelitus mihi vires." - My strength is from heaven.
"Magnificat anima mea Dominum, et exsultavit spiritus meus in Deo Salvatore meo" - My soul doth magnify the Lord, and my spirit hath rejoiced in God my Savior (Luke 1:45)
In Omnibus Ipse Primatum Tenens “That in all things He (Christ) might have the preeminence.” (Colossians 1:16-18)
"Qui bene cantat bis orat." - He who sings well, prays twice - (St Augustine)
"Nos fecisti ad te et inquietum est cor nostrum donec requiescat in te." - Thou hast made us for Thyself, O Lord, and our hearts are restless until they rest in Thee. (St Augustine)
"Caelitus mihi vires." - My strength is from heaven.
"Ubi caritas et amor Deus ibi est." - Where there is charity and love, God is there.
"Nisi credideritis, non intelligetis ."
Unless you will have believed, you will not understand. - St Augustine
"Deo vindice" - With God as Protector
"Credite amori vera dicenti." - Believe love speaking the truth. (St. Jerome)
De vitiis nostris scalam nobis facimus, si vitia ipsa calcamus." - If we tread our vices under feet, we make them a ladder to rise to higher things. (St. Augustine)
Dei gratia - By the grace of God
Verbum Domini Manet in Aeternum. - The Word of the Lord Endures Forever.
"Est autem fides credere quod nondum vides; cuius fidei merces est videre quod credis." - Faith is to believe what you do not see; the reward of this faith is to see what you believe. (St. Augustine)
"Deo iuvante" - with God's help
"Ut In Omnibus Glorificetur Deus." - That God may be glorified in all things
"Pax vobiscum." Peace be with you.
"Jubilate Deo." Be joyful in the Lord.
"Ille vir, haud magna cum re, sed plenus fidei." He is a man, not of ample means, but full of good faith.
"Facit enim mihi magna qui potens est." - For He that is mighty does to me great things.
"Oremus semper pro invicem." - Let us ever pray for each other.
"Distrahit animum librorum multitudo." - Seneca
A multitude of books distracts the mind.
"Nullam est nunc dictum, quod sit non dictum prius." - Terence
There is nothing said now, that has not been said before.
"Nosce te ipsum." - Plato
Know thyself.
"Non mihi, non tibi, sed nobis" - Not for you, not for me, but for us.
"Primum non nocere." - First, do no harm (Hippocrates)
"Est autem fides credere quod nondum vides; cuius fidei merces est videre quod credis." - Faith is to believe what you do not see; the reward of this faith is to see what you believe. (St. Augustine)
"Deo iuvante" - with God's help
"Ut In Omnibus Glorificetur Deus." - That God may be glorified in all things
"Pax vobiscum." Peace be with you.
"Jubilate Deo." Be joyful in the Lord.
"Ille vir, haud magna cum re, sed plenus fidei." He is a man, not of ample means, but full of good faith.
"Facit enim mihi magna qui potens est." - For He that is mighty does to me great things.
"Oremus semper pro invicem." - Let us ever pray for each other.
"Distrahit animum librorum multitudo." - Seneca
A multitude of books distracts the mind.
"Nullam est nunc dictum, quod sit non dictum prius." - Terence
There is nothing said now, that has not been said before.
"Nosce te ipsum." - Plato
Know thyself.
"Non mihi, non tibi, sed nobis" - Not for you, not for me, but for us.
"Primum non nocere." - First, do no harm (Hippocrates)
"Dei plena sunt omnia." - Cicero (All things are full of God.)
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