Draft: this lesson was written with AI help and has not yet been read by a human editor.
1 What your class asks
This lesson asks you to analyse contributions to science by people from various communities, including communities in Canada. The museum offers two contributions by scholars of the Islamic world: one on measuring the Earth and one on the Moon's changing distance. Contributions by communities in Canada are for your class to bring. 1
Curriculum expectations, with their official codes
- A2.5 analyse contributions to science by people from various communities, including communities in Canada
2 Before you start
A thought to carry into the lesson.
3 The lesson
What counts as a contribution?
The expectation asks you to analyse, not only to name. Look for the problem a person worked on, what came before, and what they added. Notice whether a contribution is a whole theory or one precise fix.
Go deeper
Read one scene from the record of al-Biruni's mountain-and-horizon measurement. Al-Biruni writes in the first person about living at Nandana fort in the land of India. A nearby mountain stood west of the fort, with a broad plain south of the mountain; he thought it suitable for testing the method 2. From its summit he observed the apparent meeting of earth and sky and surveyed the perpendicular representing mountain height. The account joins place, choice, observation and number, without supplying every detail of the observation day 2. The record also keeps the book apart from the event: the date it gives dates the book, not an independently established day of observation 3 4.
Why they did it
For al-Biruni the record preserves no sentence in which he says what moved him to try the method; what it shows is the book's aim. The book places Earth measurement within correcting distances between cities, and the advantage the passage names is avoiding long desert traverses to obtain the circumference 5. For Ibn al-Shatir a historian names the problem: Victor Roberts says Ptolemy's lunar theory exaggerated the changing distance, whereas Ibn al-Shatir's double-epicycle arrangement reduced that defect 6. Ibn al-Shatir worked in Damascus as head timekeeper at the Umayyad Mosque 7. The records read here report no preface in which either man states a religious purpose, and the museum does not supply one.
Two views
How did the lunar model relate to Copernicus? The record gives two attributed readings. Roberts finds Copernicus's lunar construction structurally identical apart from small parameter differences 8. On transmission, Roberts in the 1957 article leaves the question open and allows independent solutions, while King later regards the reappearance of model details as evidence of some transmission 9 10. The record adds that no named translator or particular Latin witness connecting this lunar theory with Copernicus has been established, and that Earth remains central in Ibn al-Shatir's model 9 10. The museum decides nothing between the two readings.
Often misunderstood
The record is careful about what al-Biruni is credited with. It says the documented contribution is exposition, proof and numerical application, not the first recognition that Earth is spherical 11 12. His own text reports Sanad ibn Ali accompanying al-Ma'mun on a campaign against the Byzantines, and the caliph ordered him up a mountain near the sea to measure the sun's dip, from which he derived Earth's circumference 13. The translator's preface calls the method the author's invention, so the record is marked "contested attribution" while retaining al-Biruni's specific contribution 14.
How do we know?
The witness actually read for al-Biruni is an illustrated English translation by Jamil Ali, published by the American University of Beirut 15. The preface itself warns about computational and figure-letter problems, sometimes difficult to assign to author or copyist 16. The record states that the museum has not inspected the original manuscript or read the whole book, and that only the abstract of Maslikov's article was read 16 4 12. For Ibn al-Shatir, King distinguishes the surviving treatise from the observational work with no known copy 17. A manuscript copied within the author's lifetime, as Roberts describes it, is not thereby an autograph 18.
Think about it
The translator's preface calls al-Biruni's method the author's invention, while the book's own text reports an earlier man, Sanad ibn Ali, doing the same thing under al-Ma'mun. Which would you trust more on who used the method first, a modern translator's preface or the author's report of a predecessor, and what further evidence would make you change your mind, and why?
Into the museum
- Al-Biruni's mountain-and-horizon measurement: the geometry, the sexagesimal numbers and the question of who used the method first.
- Ibn al-Shatir's lunar model: the two small circles, the numbers, and the comparison with Copernicus.
- Al-Biruni: his life and the discussion of how researchers read his affiliation.
- Ibn al-Shatir: the Damascus timekeeper and his works.
Try this
Read about al-Biruni's mountain-and-horizon measurement. Write down the problem he worked on, one thing he built on, and what he added.
4 Carry it further
Where this lesson leads in the museum.
5 Check yourself
Nothing here is marked or sent anywhere. It is for you.
In your own words: what does Al-Biruni's mountain-and-horizon Earth measurement have to do with this lesson?
Compare with the card
A mountain and the size of the Earth. Al-Biruni described a method combining a mountain's known height, the dip of the horizon below the horizontal and tangent geometry, then reported applying it near Nandana fort. The date, 416 AH/1025 CE, belongs to his book, the Tahdid, not to a day of observation, and the same text preserves an earlier account of Sanad ibn Ali. What does it mean for a contribution to have predecessors?
In your own words: what does Ibn al-Shatir's double-epicycle lunar model have to do with this lesson?
Compare with the card
One precise problem: the Moon's distance. An astronomical model can describe the Moon's direction yet exaggerate how its distance from Earth changes; Victor Roberts highlights this problem in Ptolemy's lunar theory. Ibn al-Shatir's double-epicycle arrangement reduced that defect, with Earth still central. The record stresses that the achievement is one mathematical relationship, not heliocentrism. Is a contribution to science always a whole new theory?
I can now
Notes
- 1. Ontario Ministry of Education, The Ontario Curriculum: Science
- 2. The Determination of the Coordinates — Jamil Ali translation, pp. 188–189
- 3. The Determination of the Coordinates — Jamil Ali translation, pp. 183–189
- 4. Biruni — Günay Tümer, TDV İslâm Ansiklopedisi, works
- 5. The Determination of the Coordinates — Jamil Ali translation, title; pp. 183–189
- 6. Roberts: Ibn al-Shatir's solar and lunar theory, pp428,431–432
- 7. David A. King: Ibn al-Shatir, opening-and-timekeeping
- 8. Roberts: Ibn al-Shatir's solar and lunar theory, pp428,431
- 9. Roberts: Ibn al-Shatir's solar and lunar theory, p432
- 10. David A. King: Ibn al-Shatir, reception
- 11. The Determination of the Coordinates — Jamil Ali translation, preface xi; pp. 183–189
- 12. Biruni's Method of Measuring the Earth — Maslikov2019 abstract, abstract
- 13. The Determination of the Coordinates — Jamil Ali translation, pp. 185–186
- 14. The Determination of the Coordinates — Jamil Ali translation, preface xi; pp. 185–189
- 15. The Determination of the Coordinates — Jamil Ali translation, title; preface ix–xii; pp. 183–189
- 16. The Determination of the Coordinates — Jamil Ali translation, preface ix–xii
- 17. David A. King: Ibn al-Shatir, planetary-works-and-instruments
- 18. Roberts: Ibn al-Shatir's solar and lunar theory, p428