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

Similar documents
4 ERATOSTHENES OF CYRENE

4 ERATOSTHENES OF CYRENE

Size of the Earth and the Distances to the Moon and the Sun

4 ERATOSTHENES OF CYRENE

Inventors and Scientists: Eratosthenes

Waterloo Collegiate Astronomy Assignment SES4UI. Size of the Earth and the Distances to the Moon and Sun

Astronomical Distances

Eratosthenes Project

Finding the Size of the Earth using GPS

Astronomical Distances. Astronomical Distances 1/30

Lab 2: Angles and other needed math (or the history of astronomy)

Eratosthenes method of measuring the Earth

Benefit of astronomy to ancient cultures

GE 100: General Surveying I

Exercise 3: The history of astronomy

Unit 1 The Basics of Geography. Chapter 1 The Five Themes of Geography Page 5

G-MG Eratosthenes and the circumference of the earth

Lecture 2 : Early Cosmology

The following text is for tailored for reading aloud to Delta Six students at Diamond Middle School by Jennifer Burgin while showing The Librarian

Welcome to Astronomy!

Upon Whose Shoulders We Stand: A History of Astronomy Up to 200 A.D. Dick Mallot 3/17/2005

Astronomy 311: Historical Astronomy

Today FIRST HOMEWORK DUE. Ancient Astronomy. Competing Cosmologies. Geocentric vs. Heliocentric. Ptolemy vs. copernicus.

8 Estimating the Earth s Density

Origins of Modern Astronomy

TEACHER S GUIDE: THE ERATOSTHENES PROJECT

Lecture #4: Plan. Early Ideas of the Heavens (cont d): Geocentric Universe Heliocentric Universe

Tonight. {01} The map. Relative space. What does a map do? Types of maps GEOG 201 2/17/2010. Instructor: Pesses 1

I. Evidence of Earth s Spherical Shape

Grade 6. Blackline Masters

Topic Guide: Measuring the Solar System. GCSE (9-1) Astronomy. Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Astronomy (1AS0)

Chapter 3 The Science of Astronomy

Why do we need measurements?

Astronomy. Today: Eclipses and the Motion of the Moon. First homework on WebAssign is due Thursday at 11:00pm

3. Lunar Motions & Eclipses. Lunar Phases: Static & Dynamic. Static & Dynamic Lunar Phases. Earth & Moon: Both Show Phases!

All that is required to measure the diameter of the Earth is a person with stick and a brain.

Lecture 3: History of Astronomy. Astronomy 111 Monday September 4, 2017

Dr. Tariq Al-Abdullah

Reserve your right to think, for even to think wrongly is better than not to think at all. To teach superstitions as truth is a most m terrible

EARTH SCIENCE KEY UNIT 2-H

Why do we need measurements?

Section Two. Across the Atlantic. Navigation. Student Packet. Name: Contents

Basic Questions About the Universe. What is the shape of the Earth? How far is it from the Earth to the Moon? How far is it from the Earth to the Sun?

Chapter 2. The Rise of Astronomy. Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

The Scientific Method, or How Big is the Sun?

Sun Inclinometer. Curriculum Levels 3-4 Maths. Activity Description

Eratosthenes of Cyrene: Geodesist

A100 Exploring the Universe: The Invention of Science. Martin D. Weinberg UMass Astronomy

Rocket building social tonight in CCC Rocket launch this Sunday 7 April

Team A: The Earth is flat

Chapter 2. The Rise of Astronomy. Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

Things to do today. Terminal, Astronomy is Fun. Lecture 24 The Science of Astronomy. Scientific Thinking. After this lecture, please pick up:

What did Greek cosmologists study (200BC-200AD) 8 Sep. Erathosthenes measures size of Earth ~200 BC

Measurement Set #1. measurement and the accepted value? Show your work!

The Birth of Astronomy. Lecture 3 1/24/2018

Time and Diurnal Motion

2 OBSERVING THE SKY: THE BIRTH OF ASTRONOMY

Comparing and Contrasting Ancient Number Systems

Today FIRST HOMEWORK DUE NEXT TIME. Phases of the Moon. Eclipses. Lunar, Solar. Ancient Astronomy

DISAPPEARING SUN? TOTAL ECLIPSE OF THE SUN

Ancient Astronomy. Kickin it old school

A100 Exploring the Universe: The Rise of Science. Martin D. Weinberg UMass Astronomy

MEASURING THE SIZE OF THE EARTH - WebAssign

Planetary Science Unit Map Grade 8

Moon Project Handout. I: A Mental Model of the Sun, Moon, and Earth (Do in class.)

Time and Diurnal Motion

PHYSICS 107. Lecture 4 Ancient Astronomy

For First year book and James Randi must meet for discussion with Dr. Peel. See e mail from him for details

Today s Objectives: S.W.B.A.T.

FIRST GRADE 1 WEEK LESSON PLANS AND ACTIVITIES

Today. Solstices & Equinoxes Precession Phases of the Moon Eclipses. Ancient Astronomy. Lunar, Solar FIRST HOMEWORK DUE NEXT TIME

Time and Diurnal Motion. 1a. The Earth Is Flat. 1c. Aristotle ( BC) 1b. The Earth Is Round. Time and Diurnal Motion

For most observers on Earth, the sun rises in the eastern

Understanding Celestial Navigation

Time and Diurnal Motion. 1a. The Earth Is Flat. 1c. Aristotle ( BC) 1b. The Earth Is Round. Time and Diurnal Motion

Chapters 1, 2: Introduction, Earth and Sky

International Week - Baden May 28th to June 1st 2018

Surveying, Surveyors and. Systems. Curt Crow NOAA s National Geodetic Survey September 22, 2009 URISA New England, Bedford, NH

How the Greeks Used Geometry to Understand the Stars

Today. Tropics & Arctics Precession Phases of the Moon Eclipses. Ancient Astronomy. Lunar, Solar FIRST HOMEWORK DUE NEXT TIME

Earth s Rotation. reflect

Marine Sextants: History & Technology

2X CLAUDIUS PTOLEMY BIOGRAPHY 780L

Guiding Questions. Discovering the Night Sky. iclicker Qustion

Astronomy 110 Lecture Fall, 2005 Astronomy 110 1

Lab Title: Parallax and Astronomical Distances. Equipment: Sextant Meter sticks (or tape measures) Calipers Magnetic compasses.

The Earth & its good friend, the Moon. SNC1D7 - Space

The Timekeepers. Staging Divide the staging area into two parts: the watchmaker s shop and the land of dreams. Characters:

THE GREAT SUN-EARTH-MOON LINE-UP

History of Geography. Origins of Geography. Natural Curiosity. Origins of Geography. Clay Tablets, Babylonia 8/29/2016 CLASSICAL GEOGRAPHY

Vigyan Pratibha Learning Unit (Teacher version) Shadows

The position of the Sun on the celestial sphere at the solstices and the equinoxes.

ASTR 200, reminder Center section = 'no laptop' zone

Appearances Can Be Deceiving!

Discovering the Universe for Yourself (Chapter 2) Years, Seasons, and Months: The Motions of Sun, Earth, and Moon

Geog 126: Maps in Science and Society. From Before the Compass to the Chronometer

Exam 1 is Feb. 1 (next Tuesday) This will cover everything we have done so far Earth motions The celestial sphere and observations from Earth Seasons

1. The Moon appears larger when it rises than when it is high in the sky because

Space Exploration UNIT UNIT

The celestial sphere, the coordinates system, seasons, phases of the moon and eclipses. Chapters 2 and S1

Transcription:

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

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.

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.

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.

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!!!

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 ropestretchers, 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.

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.

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.

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.

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 10 th century by Gerbert and served as the basis for his text on geometry, which was largely devoted to surveying.

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.

In the 13 th 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.

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.

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.

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.