LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical...

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LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty

Transcript of LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical...

Page 1: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

LECTURE 1

Engr. Meriam M. Santillan, M.Sc.

Faculty

Page 2: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

One of the oldest arts practiced by

man

From the earliest times it has

always been important to mark

boundaries and divided tracts of

land.

Page 3: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

Through time, the use of surveying expanded such as: Engineering construction

Planning and design are based on the results of surveys.

Construction is controlled by surveying

Surveys cover a wide range in scope and complexity staking out of simple structures

the surveying of small parcels of land

extensive and difficult surveys required in the construction of:

Subdivisions

Bridges

Highways

Canals

dams

Railroads

wharves

missile and rocket launching sites

drainage and irrigation systems

Or surveys of relatively large portions of the earth’s surface.

Page 4: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

Surveying is also required for:

the laying out of industrial equipment

preparing forestry and geological maps

positioning massive and complex machinery

in the construction of ships and airplanes

well as in the survey and exploration of

extraterrestrial bodies such as the moon and the

planets.

Page 5: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

This course will teach/ train students to: visualize and think logically

Plan to work carefully and accurately

Arrange the product of these efforts in a neat and orderly manner for record or presentation.

Will provide worthwhile general experience

Develop desirable traits and habits because: The nature of the subject with its related field measurements is will

develop habits of accuracy, industry, and reliability

In addition: The student will learn a great deal about the relative importance of

measurements.

Will be trained to decide on how accurate and precise measurements should be made.

Acquire essential habits of checking numerical calculations, measurements and observations.

ALL THESE ATTRIBUTES ARE EXPECTED TO ADD TO THE STRATURE AND TECHNICAL COMPETENCE OF A FUTURE PROFESSIONAL!!!

Page 6: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

The oldest historical records in existence today that bear directly on the subject of surveying state that this science began in Egypt.

Herodotus recorded that Sesostris (about 1400 B.C.) divided the land of Egypt into plots for the purpose of taxation.

Annual floods of the Nile River swept away portions of these plots and surveyors were appointed to replace the boundaries.

These early surveyors were called rope-stretchers, since their measurements were made with ropes having markers at unit distances.

As a consequence of this work, early Greek thinkers developed the science of geometry.

Page 7: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

HERON stands out prominently for applying science to surveying in about 120 B.C.

He was the author of several important treatises of interest to surveyors, including the Dioptra, which related the methods of surveying a field, drawing a plan, and making related calculations.

It is also described one of the first pieces of surveying equipment recorded, the diopter.

For many years Heron’s work was the most authoritative among Greek and Egyptian surveyors.

Page 8: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

A dioptra is a classical astronomical and surveying

instrument

The dioptra was a sighting tube or, alternatively, a

rod with a sight at both ends, attached to a stand.

If fitted with protractors, it could be used to measure

angles.

Page 9: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

Significant development in the art of surveying came from the practical-minded Romans, whose best-known writing on surveying was by Frontinus.

Although the original manuscript disappeared, copied portions of his work have been preserved.

This noted Roman engineer and surveyor, who lived in the first century, was a pioneer in the field, and his essay remained the standard for many years.

The engineering ability of the Romans was demonstrated by their extensive construction work throughout the empire.

Ingenious instruments were developed and used.

Among these were the groma, libella, A-frame with plumb bob and chorobates.

Page 10: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

One of the oldest Latin manuscripts in

existence is the Codex Acerianus, written in

about sixth century.

It contains an account of surveying as

practiced by the Romans and includes several

pages from Frontinus’s treatise.

The manuscript was found in the 10th century

by Gerbert and served as the basis for his

text on geometry, which was largely devoted

to surveying.

Page 11: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

During the Middle Ages, the Arabs kept Greek

and Roman science alive.

Little progress was made in the art of

surveying, and the only writings pertaining to

it were called “practical geometry”.

Page 12: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

In the 13th century, VON PISO wrote Practica Geometrica, which contained instructions on surveying.

He also authored Liber Quadratorum, dealing chiefly with the quadrans, a square brass frame having a 90 degrees angle and other graduated scales.

Other instruments of the period were the astrolabe, a metal circle with a pointer hinged at its center and held by a ring on the top, and the cross staff, a woodedn rod about 4 ft long with an adjustable cross –arm at right angles to it.

Page 13: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

Early civilizations assumed the Earth to be a

flat surface.

But by noting the Earth’s circular shadow on

the moon during the lunar eclipses and

watching the ships gradually disappear as

they sailed toward the horizon, it was slowly

deduced that the planet actually curved in

all directions.

Page 14: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

Determining the true size and shape

of the Earth has intrigued humans

for centuries.

History records that a Greek named

Eratosthenes was among the first to

compute its dimension.

His procedure occurred around 200

B.C.

Page 15: LECTURE 1 Engr. Meriam M. Santillan, M.Sc. Faculty · 2014. 7. 14. · A dioptra is a classical astronomical and surveying instrument The dioptra was a sighting tube or, alternatively,

Eratosthenes had concluded that the Egyptian cities of Alexandria and Syene were located approximately on the same meridian, and he had observed that at noon on the summer solstice, the sun was directly over head at Syene.

He reasoned that at that moment, the sun, Syene and Alexandria were in the common meridian plane, and if he could measure the arc length between the two cities, and the angle it subtended at the Earth’s center, he could compute the earth’s circumference.

He determined the angle by measuring the length of the shadow cast at Alexandria from a vertical staff of known length.

The arc length was found from multiplying the number of caravan days between Syene and Alexandria by the average daily distance traveled.

From these measurements, Eratosthenes calculated the Earth’s circumference to be about 25,000 miles.

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