Dioptra in Surveying
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Questions and Answers

What was the primary purpose of dividing the land of Egypt into plots according to the oldest historical records?

  • To create a mapping system for navigation
  • For taxation purposes (correct)
  • To construct the Great Pyramids
  • To determine the annual floods of the Nile River
  • What was the name of the treatise written by Heron of Alexandria that described methods of surveying a field?

  • The Art of Measurement
  • The Dioptra (correct)
  • The Ancient Surveyor
  • The Surveyor's Guide
  • What was the primary tool used by early Egyptian surveyors?

  • A compass
  • Ropes with markers at unit distances (correct)
  • A sextant
  • A theodolite
  • Who is considered the Great-Great Grandfather of Engineering?

    <p>Heron of Alexandria</p> Signup and view all the answers

    What was the approximate time period when Sesostris divided the land of Egypt into plots for taxation?

    <p>1400 B.C.</p> Signup and view all the answers

    What was the primary purpose of Heron of Alexandria's Dioptra?

    <p>To survey a field and draw a plan</p> Signup and view all the answers

    What was the title of the Greek mathematician and engineer who wrote several treatises of interest to surveyors?

    <p>Heron of Alexandria</p> Signup and view all the answers

    What was the primary reason for the appointment of surveyors in ancient Egypt?

    <p>To replace the boundaries lost due to annual floods</p> Signup and view all the answers

    Who recorded the history of Sesostris dividing the land of Egypt into plots for taxation?

    <p>Herodotus</p> Signup and view all the answers

    What was the name of the early surveyors in ancient Egypt?

    <p>Rope-stretchers</p> Signup and view all the answers

    Study Notes

    Ancient Surveying Instruments

    • A dioptra is a classical astronomical and surveying instrument
    • It consists of a sighting tube or a rod with a sight at both ends, attached to a stand
    • When fitted with protractors, it can be used to measure angles

    Dioptra and Heron of Alexandria

    • Heron of Alexandria was a pioneer in applying science to surveying around 120 B.C.
    • He wrote several important treatises, including the Dioptra, which described methods of surveying a field, drawing a plan, and making related calculations
    • Heron's work was the most authoritative among Greek and Egyptian surveyors for many years

    Shape and Size of the Earth

    • In ancient civilizations, humans tried to determine the true shape and size of the Earth
    • Eratosthenes, a Greek, computed the Earth's dimension around 200 B.C.
    • He observed the Earth's circular shadow on the moon during lunar eclipses and the ships disappearing over the horizon
    • Eratosthenes used the angles of shadows and the distance between Alexandria and Syene to calculate the Earth's circumference, concluding it was around 25,000 miles

    Definition and Classification of Surveying

    • Surveying is a branch of applied mathematics that determines the area of any portion of the Earth's surface, the lengths and directions of bounding lines, and the contour of the surface
    • Surveying is also the science, art, and technology of determining the relative positions of points above, on, or beneath the Earth's surface
    • Geomatics Engineering is a modern term that encompasses surveying, involving the measurement, representation, analysis, management, retrieval, and display of spatial information
    • Geomatics is an integrated approach to the measurement, analysis, management, and display of geographic and other spatial data

    History of Surveying

    • The oldest historical records of surveying date back to ancient Egypt around 1400 B.C.
    • Sesostris divided the land of Egypt into plots for taxation, and surveyors were appointed to replace boundaries after annual floods
    • These early surveyors were called rope-stretchers, using ropes with markers at unit distances for measurements
    • Heron of Alexandria is considered the Great-Great Grandfather of Engineering, applying science to surveying around 120 B.C.

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    GE 100 General Surveying 1 PDF

    Description

    Learn about the dioptra, a classical astronomical and surveying instrument used to measure angles. It was one of the first pieces of equipment recorded in history.

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