# Introduction

Two sources of beauty are commonly recognized—nature and art. Natural beauties exist like the rainbow, mountains, lakes, plants, human beings, birds, and other animals. Nature is considered the Mother of all arts.
Art, on the other hand, is made by persons. Collins and Riley say that "Art is anything made or done by man that affects or moves us so that we see or feel beauty in it." Art is anything created by persons for their comfort and enjoyment, using materials, sounds, or body movements for its expression.
Two classifications of art are generally made—the fine arts and the practical arts. The fine arts, purposely created by persons for their own pleasure and appreciation, include music, painting, sculpture, architecture, literature, drama, and dance. The practical arts are also called useful, functional or manual arts since those arts were created by people for use in their daily lives. Architecture is not only functional but aesthetic as well.
The Practical Arts
The practical arts are of six general types: industrial arts, agricultural arts, business or commercial arts, home economic or homemaking arts, fishery arts and distributive arts. Industrial arts refer to activities by which a person creates or produces objects in industrial plants or home shops, such as general metal work, general automotive, drafting and graphic arts, general woodworking, general electricity, ceramics and home industries.
In the Philippines, the trade or vocational courses offered in the trade or technical schools are commonly called industrial education or trade courses and not industrial arts. These courses prepare the students for entrance into the occupations or trades.
The industrial or manual arts in the elementary schools are simpler and their main goal is not to prepare the pupils for employment but rather to explore their interests and aptitudes and to train them in good citizenship. Some of the industrial arts in the grades are bamboo craft, toy craft, shell craft, coir and fiber craft, leather craft, wire and sheet-metal craft, elementary electricity, elementary woodworking, and bookbinding.
The manual arts offered in the secondary schools are generally called practical arts. The main objective of offering practical arts in the first and second years is the same as the objective of industrial arts in the elementary schools. In the third and fourth years, however, the practical arts are chiefly offered to prepare the students for "initial gainful employment" in these arts.
Agricultural arts include farming, vegetable gardening, horticulture, swine and poultry raising, dairy farming and planting of ornamental plants.
Business arts refer to retail merchandising, lunchcounter work, typewriting, stenography, and bookkeeping.
Homemaking arts include dressmaking, crocheting, food preparation and preservation, interior decoration, nutrition, child care, hair science, and embroidery work.
In the high schools, the term home economics refers to advanced homemaking arts. Fishery arts are offered in schools located near rivers and seas. They include net weaving, shallow-water fishing, deep-sea fishing, and fish preservation. The distributive arts involve packaging, marketing, warehousing, advertising and shipping of manufactured goods.
Drafting Areas
Drafting is the process of representing an object or idea by means of lines having various thicknesses and makeups. Drafting is an industrial art because it helps in the production of economically useful articles. Practically all modern home appliances, automobiles, buildings, radio and television sets, space satellites, rockets, etc., start on the drawing or drafting board. They are first designed and laid out on paper before being made in the factories.
The major kinds of drafting are furniture drafting, architectural drafting, mechanical or machine drafting, electrical and electronics drafting, topographical drafting, airplane drafting, ship or naval drafting, structural drafting and sheet-metal drafting. Furniture drafting includes not only the making of working drawings of the various types of furniture but also the designing of them. Architectural drafting pertains to the making of working plans for buildings for residential, business, manufacturing, religious, recreational and storage purposes. Machine drafting is the preparation of detail and assembly working drawings of machines and their parts. Electrical and electronics drafting produces schematic wiring diagrams for either house wiring connections and radio and television receivers and transmitters or the installation of electrically-operated machines. Topographical drafting is the making of plots or maps for various purposes. Airplane drafting concerns the preparation of working drawings of aircraft, including helicopters, planes, rockets and spaceships. Ship drafting is the making of working plans for all types of ship and for either commercial or naval purposes. Structural drafting refers to the making of working drawings of steel buildings, bridges, towers, dams and so forth. Sheet-metal drafting is the development of surfaces of various objects made of galvanized iron, steel aluminum or copper sheets. It includes pattern development for chimneys, downspouts, water tanks and air-conditioning ducts, among many others.
Drafting Occupations
The occupations which a drafting student can apply for after graduation depend on the type of drafting area he specialized in at school. He can be a mechanical or machine draftsman, furniture designer, architectural draftsman, topographical draftsman, structural draftsman, electrical draftsman, or naval draftsman. A new drafting graduate is usually first employed either as an assistant draftsman, tracer, blueprinter, checker, or computer before becoming a full-fledged draftsman.
Allied Drafting Trades
Drafting work is also needed by craftsman in other occupations like the commercial artist, layout-stripper, and lithographic artist in printing establishments, textile designer and silk-screen printer.
A commercial artist manufactures signs, commercial posters and advertisements for the newspapers and magazines and on billboards. He also makes promotion pictures for theaters and car cards. A commercial artist can also be a lithographic artist, one whose job is to make pictures and pages of text from engraved zinc or aluminum plates because of the similarity in the nature of his work to that of the latter.
A layout-stripper is a skilled worker who prepares layouts and strips negatives or positives on goldenrod paper or vinyl sheet, respectively, preparatory to the making of the lithographic printing plate for offset printing. A textile designer designs motifs and all-over patterns appropriate for printing on textiles.
A silk-screen printer draws and prepares stencils out of lacquer-coated paper(called Nu-film or Blu-film in the market), which is made to adhere to a silk-screen frame for printing purposes.

# Freehand Drawing

This chapter deals with two types of freehand drawing. One pertains to artists' drawings and the other to drawings done by technical men and skilled industrial workers. Artists' drawings are generally freehand drawings; that is, drawings made without the use of drawing instruments or straightedges. Such drawings are made in perspectives; that is, pictorial drawings as seen by the artist's eyes. As his art medium he uses either a lead pencil, charcoal or carbon pencil, black ink, pastel, oil paint, water color, or crayon.
Technical men and industrial workers, on the other hand, make working sketches which are also freehand drawings but are shown in a special type of drawing called orthographic projection. Generally, an object is shown in three orthographic views—top, front, and side views.
A synonym for freehand drawing is sketch. All technical sketches are freehand drawings, but not all freehand drawings are technical sketches.
Pencil Techniques
In both freehand drawing and technical sketching, the techniques in drawing or sketching lines are the same. Horizontal lines, for instance, are drawn from left to right. Horizontal lines are lines parallel to the lower edge of the drawing paper. Vertical lines are sketched from the top downward, and inclined lines are also generally sketched from left to right. Short lines are drawn with finger movement while long lines are made with arm movement. Long lines, however, may be drawn in segments with very small spaces or gaps between segments. Those gaps are so small that the lines appear at arm's length as single line.
Perpendicular lines are lines which make an angle of 90 degrees with each other. Horizontal and vertical lines can be drawn perpendicular to one another. But not all perpendicular lines are horizontal.
Parallel lines are lines which never meet even if they are prolonged or extended to any desired length. Parallel lines may be vertical, horizontal, or inclined.
Lines may be drawn in various thicknesses or weights with a soft pencil. This is done by varying the pressure of the pencil against the drawing paper. It is this feeling of pressure exerted by the fingers on the pencil that must be developed in order to acquire the "feel" of the pencil. These varying kinds of line can also be drawn by using different grades of drawing pencil.
Curved lines, or curves, are regular or irregular. A regular curve is either a circle, an arc(part of the circumference of a circle), or an ellipse. Irregular curves are those which have no definite direction.
In sketching circles, the radii and the two-stroke method are often used. For an ellipse, the beginners should use the parallelogram method. The other two methods of sketching an ellipse should be attempted only after one has acquired the "feel" of the drawing pencil.
Drawing Pencils
Drawing pencils are available in various grades of hardness or softness. Hard pencils range from grades H, 2H, . . . , to 9H(the hardest). Soft pencils range from grades B, 2B, . . . , to 6B(the softest). Between H and B pencils are the HB and F. All of these pencils are available in the market. With HB, 2B, and H pencils, the student can easily make variations in the lightness or darkness of his lines even if the pressure of the pencil on the paper is the same for each grade pencil.
Pencil points may be sharpened into three different shapes: the conical, the chisel, and the elliptical. For sketching purposes, the first two are recommended.
The conical pointed soft pencil can make different thicknesses of lines by varying the pressure of the pencil against the paper surface. A hard pencil with a similar point can make different thicknesses of lines by varying the shape of its point. A dull point makes a broad line while a fine point makes a fine line. This is why soft pencils are preferred to hard pencils in sketching. The chisel point, on the other hand, makes wide lines depending on the width of the point. It is generally used in shading a penciled outline drawing.
Pencil points are usually sharpened on a sandpaper pad. The wooden part of the pencil is first cut off with a pocket knife or razor or stripping blade, thus exposing the lead about one centimeter long. The pencil point is then shaped on the sandpaper pad by rubbing the point while at the same time turning it.
Sketches in 3D Drawing of Bridges

# Designing

Drafting/Designing

# Lettering

Lettering is a dying art that presents text, dimensions and notes that are hand written in a standard form. Lettering is typically all upper case without slant or formatting but the creator of a drawing will often put their own personality into the lettering. All caps on an engineering drawing is not "yelling" but is good practice and facilitates clear communication. Slanted lettering may be used for emphasis of a particular point or idea.
Letters are all block letters generally of equal width and 1/8 inch tall. The use of a mechanical guide or construction lines to control height is recommended for consistency. Unless an inked drawing is lettered using a Leroy scriber (now obsolete) lettering is done freehand. All letters are upper case only unless in a long paragraph of more than 2 sentences. Letters of a word will be close to each other without touching. Space between words is about the same as the letter H or W. Numbers are the same size as letters. Fraction numbers are slightly smaller than 1/8 inch, stacked and symmetrical to the line it is in. Multiple lines of text should leave space between each line of about half the height of a normal letter.
Special cases of lettering may be smaller or larger than the standard height. Title block lettering may be larger. Section view identifiers and cutting plane labels may also be larger.
Each letter is generally created from top to bottom and left to right. At the end of each straight leg or line of a letter, the pen or pencil is picked up and relocated for the next line. For example the letter 'A' consists of a stroke down and to the left, down and to the right and a final stroke left to right half way up the height connecting the two legs together. Rounded letters such as 'O' start at the top and go down and around to the left to the bottom, pencil up, then another stroke from the top then down and to the right closing the O at the bottom. Shortcuts are often taken making these letters with one stroke. Letters are generally sans-serif though using she serif form of 'I' as the word I is accepted.
Notes on special letters and numbers:
The letter 'W' has both outside legs slanted outward and are not vertical.
The letter 'M' outside legs are vertical and not slanted. 'M' is not an upside down 'W' and vice versa.
The number '0' (zero) and '7' do not have a slash.
The number '4' comes to a point and is not open.
The number '8' is made of two small circles of two to four strokes and not a single figure eight stroke.
The number '9' is similar to the number '6' being made of curved strokes and no straight lines.

# Orthographic Sketching

An orthographic sketch is a drafting term for the standard layout of an object by using three views, such as top, front, and side.

# Pictorial Drawings

An orthographic drawing is sometimes supplemented with a pictorial drawing to optimize one's understanding of the object. The pictorial drawing often represents a portion of the object and shows the method of its construction.

# Dimensioning

Dimensioning is the process of measuring the cubic space that a package or object occupies. It is the method of calculating dimensional weight for the storage, handling, transporting and invoicing of goods. Vehicles and storage units have both volume and weight capacity limits and can easily become full in terms of volume before they reach their capacity in weight. By dimensioning objects, parcels and pallets, shipping companies and warehouses can make optimal use of space and charge for services accordingly.
The background behind dimensioning In 1985 a Norwegian company called Cargoscan, which officially became part of the Mettler Toledo group in 2000, began supplying dimensioners and data capture solutions to transport and logistics companies around the world. The aim was to provide the industry with a system for revenue recovery and protection. It seemed that if carriers were to take both weight and volume into consideration when invoicing, they could charge customers more fairly according to services provided and make better use of resources.

# Working Sketches

Drafting/Working Sketches

# Blueprint Reading

Drafting/Blueprint Reading

# Commercial Art

Drafting/Commercial Art

# Bibliography

Bradley, Charles B. (1940). Design in the Industrial Arts. Peoria, Illinois, USA: The Manual Art Press.
Carlson, Charles X. (1942). Water Color Painting. N.Y.: Melior Book Co.
Collins, Rose M., and Riley Olive. Art: Appreciation for Junior and Senior High Schools. N.Y.: Harcourt, Brace & Co., 1937.
Downer, Marion. Discovering Design. N.Y.: Lothrop, Lee & Shephard Co., 1947.
Edel, Henry D. Introduction to Creative Design. N.J.: Prentice-Hall, Inc., 1967.
Fabry, Alois. Water Color Painting Is Fun. N.Y.: Viking Press, 1960.
Feirer, John L. Drawing and Planning for Industrial Arts. Peoria, Ill.: Chas A. Bennett Co., Inc., 1956.
French, Thomas E., and Vierck, Charles J. A Manual of Engineering Drawing for Students and Draftsmen. 9th ed. N.Y.: McGraw-Hill Book Co., Inc., 1963.
——————. Engineering Drawing and Graphic Technology. N.Y.: McGraw-Hill Book Co., Inc., 1969.
——————; Sevensen, Carl L. et al. Mechanical drawing. N.Y.: McGraw-Hill Book Co., Inc., 1974.
Giachino, J.W., and Beukema, Henry J. American Technical Society's Drafting. Chicago: American Technical Society, 1960.
Giesecke, Frederick E.; Mitchell, Alva; and Spencer, Henry C. Technical Drawing. 6th ed. N.Y.: Macmillan Co., 1974.
——————. Engineering Graphics. N.Y.: Macmillan Co., 1969.
Goldstein, Harriet, and Goldstein, Vetta. Art in Everyday Life. 4th ed. N.Y.: Macmillan Co., 1954
Hornilla, Cesar et al. Theory of Technical Drawing, Part I. Manila: UST Press, 1976.
Jervis, William. General Mechanical Drawing. N.J.: D. Van Nostrand Co., Inc., 1950.
Katz, Hyman H. Handbook of Layout and Dimensioning for Production. N.Y.: Macmillan Co., 1957.
——————. Technical Sketching and Visualization for Engineers. N.Y.: Macmillan Co., 1949.
Lighte, Paul R. Blueprint Reading and Sketching. N.Y.: McKnight and McKnight, 1950.
Luzadder, Warren. Fundamentals of Engineering Drawing. N.J.: Prentice-Hall, Inc., 1977.
McGee, R.A., and Sturtevant, W.W. General Mechanical Drawing. N.Y.:Bruce Publishing Co., 1941
Manaois, German M. A Manual of Art Education and Appreciation. Manila: National Book Store, 1977.
Matasek, Ray J. Commercial Art and Design. N.Y.: Bruce Publishing Co., 1931.
Pare, E.G. et al. Descriptive Geometry. N.Y.: Macmillan Co., 1971.
Pawelek, Stanley J., and Otto, William E. Introduction to Industrial Drafting. N.Y.:Benziger Bruce & Glencoe, Inc., 1973.
Rogers, William W., and Welton, Paul L. Blueprint Reading at Work. N.J.: Silver Burdett Co., 1956
Rotmans, Elmer A. Drafting Simplified. N.Y.: Delmar Publishing, 1967.
Rotmans, Elmer A., and Norton, Homer L. Drafting Technology. N.Y.: Delmar Publishing, 1967.
Ross, George F. Speedball Text Book. Camden, N.J.: Hunt Pen Co., 1948.
Ross, Robert. Commercial Art. Penn.: International Textbook Co., 1963.
Shaeffer, Glenn N., and Spielman, Patrick E. Basic Mechanical Drawing. N.Y.: Benziger Bruce & Glencoe, Inc., 1974.
Spencer, William P. Drafting Technology and Practice. Peoria, Ill.: Chas A. Bennett Co., Inc., 1973
Stephenson, George E. Drawing for Product Planning. Peoria, Ill.: Chas A. Bennett Co., Inc., 1970
Steinike, Otto. Blueprint Reading, Checking, Testing. Ill.: McKnight and McKnight, 1956.
Thayer, H.R. Blueprint Reading and Sketching. N.Y.: McGraw-Hill Book Co., Inc., 1942.
Wallace, C.E. Commercial Art. N.Y.: McGraw-Hill Book Co., Inc., 1939.
Varnum, William. Industrial Arts Design. Peoria, Ill.: Manual Arts Press, 1933.
Victoria, Pablo. Art in the Elementary Schools. Quezon City: Phoenix Publishing House, Inc., 1959.
Zipprich, Anthony E. Freehand Drafting for Technical Sketching. N.J.: D. Van Nostrand Co., Inc., 1954.

# Glossary

Drafting/Glossary of Technical Terms

# Appendices
## Other Blueprint Reading Problems

Drafting/Other Blueprint Reading Problems

## List of Operations or Skills to be Learned

Freehand Drawing
* Sharpen a pencil (conel, chisel, elliptical).
* Lay out the border line (continue and in segments).
* Sketch long curve lines (light and heavy).
* Sketch short curve lines (light and heavy).
* Sketch parallel lines (short and long).
* Sketch perpendicular lines (at various positions).
* Sketch arcs and circles (large and small).
* Sketch an ellipse by the parallelogram method.
* Sketch common plane geometrical figures (triangles, rectangles, square, regular polygons, etc.).
* Sketch common solid geometrical figures (cylinder, cone, pyramid, prism, cube, etc.).
* Sketch objects in outline form (with lead pencil or ball pen).
* Accent an outline drawing (lead or carbon pencil).
* Sketch a color chart (Prang 12 color).
* Color an outline drawing (crayon or water color).
* Shade an outline drawing (lead or carbon pencil).
* Erase pencil lines.
* Lay out a value scale (7 steps).
* Lay out a color-value scale (tints and shades of a color).
Design
* Create a naturalistic motif or design.
* Create a conventional motif or design.
* Create a geometrical motif or design.
* Create an abstract motif or design.
* Create a center motif.
* Create a corner motif.
* Create a border design.
* Create an all over pattern.
* Create simple structures (chair leg, flower vase, molding, etc.).
* Create simple articles (coat hanger, medicine cabinet, bookend, bric-a-brac, etc.).
* Design a simple iron fence and gate.
Lettering
* Draw guide lines for lettering (horizontal and inclined).
* Print or letter single-stroke Gothic capital letters (alphabet and numbers).
* Print single-stroke Gothic small letters (alphabet and numbers).
* Print words and sentences (single-stroke Gothic).
* Print paragraphs (single-stroke Gothic).
* Center a title by the trial-and-error method.
* Center a title by the scratch-paper method.
* Print Roman letters and numbers by using a Speedball pen, Style C-3.
* Print Text or Old English letters and numbers by using the same pen.
Orthographic Sketches
* Sketch the alphabet of lines.
* Block in the views.
* Sketch orthographic views of objects with horizontal and vertical surfaces.
* Sketch orthographic views of objects with inclined surfaces.
* Sketch orthographic views of objects with regular curved surfaces.
* Sketch orthographic views of objects with irregular curved surfaces.
* Sketch orthographic views from given pictorial views.
* Draw a detail working sketch.
* Draw an assembly working sketch.
Picture Drawings
* Sketch isometric axes (boxing method).
* Sketch cavalier and cabinet axes.
* Sketch isometric views of objects with horizontal and vertical surfaces.
* Sketch isometric views of objects with inclined surfaces.
* Sketch isometric views of objects with regular curved surfaces.
* Sketch isometric views of objects with irregular curved surfaces.
* Sketch isometric views form given orthographic views.
* Sketch cavalier pictorial views.
* Sketch cabinet pictorial views.
* Sketch semi-artist's parallel perspective.
* Sketch semi-artist's angular perspective.
* Sketch isometric views of objects having many inclined surfaces (offset method).
Dimension
* Measure objects by use of the metric system.
* Print or write metric measurements on the drawing.
* Convert metric measurements into English and vice versa.
* Stagger dimensions.
* Sketch dimension and projection lines.
* Sketch continuous dimensions.
* Dimension circles or holes (of various sizes) and locate them.
* Dimension arcs and angles of various sizes.
* Dimension irregular curves by the square method.
* Dimension irregular curves by base-line dimensioning method.
* Dimension a drawing using the nondirectional method.
* Dimension turned pieces.
* Dimension an isometric view.
* Dimension an oblique view (cavalier or cabinet).
* Dimension a tapped hole.
* Dimension chambers and tapers.
* Dimension large arcs by the radial dimensioning method.
* Correct dimensions on working sketches.
Work Sketchers
* Make a working sketch of a detail part.
* Make a working sketch of assembled parts.
* Sketch the title block.
* Check a working sketch.
Blueprint Reading
* Supply a missing orthographic view.
* Supply missing dimensions.
* Supply missing visible and hidden lines.
* Sketch an isometric view from given orthographic views.
* Sketch orthographic views from given isometric views.
* Match corners of the object drawn in an isometric view with those of the orthographic views.
* Match the lines or edges of the object drawn in an isometric view with those of the orthographic views.
* Correct sketches made by other students.
* Identify drawing symbols and abbreviations.
* Sketch an oblique view (cavalier or cabinet) from given orthographic views.
* Sketch a perspective view from given orthographic views (parallel or angular).
Commercial Art
* Design a monogram.
* Invert and transfer design on surface of a linoleum or rubber block.
* Engrave and mount the block.
* Print an all over pattern with the block.
* Draw a poster with a given wording or lettering.
* Redesign or improve a given newspaper advertisement.
* Hand-letter a table design on glass and mount glass on a triangular wooden base.
* Hand-letter a door sign on a wooden board.
* Lay out a title page on tracing paper.
* Lay out the letterings for a book cover.
* Lay out a letterhead.
* Make a sign painting for a store.

## Metric / Imperial Conversion Tables

The metric is now the official system of measurements for sizes and weights in the Philippines. At this writing, however, lumber, shoes, paper, and machine parts are still measured by the English system. Since it will take time to metricize all existing English measurements, the conversion table is provided below to help students adjust themselves to the transition.
The metric equivalent of the English linear measurements are printed in decimal figures and are mostly in fractions of a meter. To read these fractional measurements which are given in decimal figures, it is suggested that the following simple rule be followed:
All numbers at the left side of the decimal point are in meters; the first two numbers to the right of the decimal point are in centimeters; the third number to the right of that is in millimeters; and the rest of the numbers to the right of the third number are a fraction of a millimeter.
For example, 1.016 reads: one meter, one centimeter, and 6 millimeters. Similarly, 5.55525 is read as 5 meters, 55 centimeters, and 5 1/4 millimeters. The last two numbers, or 25, is 1/4 of a millimeter.
To find the equivalent of 3 1/8", for instance, just add the fractional metric equivalent of 1/8" to the metric equivalent of 3 inches. In this case, we have
1/8" = 0.0032 3" = 0.0762 0.0794 which reads: seven centimeters, nine millimeters, and 4/10, or 2/5, of a millimeter

## Table I Inches To Meter

| Inch/Inches | Meter | Inches | Meter |
| 1/32 | 0.0008 | 13 | 0.3202 |
| 1/16 | 0.0016 | 14 | 0.3556 |
| 1/8 | 0.0032 | 15 | 0.381 |
| 3/16 | 0.0047 | 16 | 0.4064 |
| 1/4 | 0.0063 | 17 | 0.4318 |
| 5/16 | 0.0079 | 18 | 0.4572 |
| 3/8 | 0.0095 | 19 | 0.4826 |
| 7/16 | 0.0112 | 20 | 0.508 |
| 1/2 | 0.0127 | 21 | 0.5334 |
| 9/16 | 0.0142 | 22 | 0.5588 |
| 5/8 | 0.0158 | 23 | 0.5842 |
| 11/16 | 0.0174 | 24(2'-0") | 0.6096 |
| 3/4 | 0.019 | 25 | 0.635 |
| 13/16 | 0.0205 | 26 | 0.6604 |
| 7/8 | 0.022 | 27 | 0.6858 |
| 15/16 | 0.0237 | 28 | 0.7112 |
| 1 | 0.0254 | 29 | 0.7366 |
| 2 | 0.0508 | 30 | 0.762 |
| 3 | 0.0762 | 31 | 0.7874 |
| 4 | 0.1016 | 32 | 0.8128 |
| 5 | 0.127 | 33 | 0.8382 |
| 6 | 0.1524 | 34 | 0.8636 |
| 7 | 0.1778 | 35 | 0.889 |
| 8 | 0.2032 | 36(3'-0") | 09144 |
| 9 | 0.2286 | 37 | 0.9398 |
| 10 | 0.254 | 38 | 0.9652 |
| 11 | 0.2794 | 39 | 0.9906 |
| 12(1'-0") | 0.3048 | 40 | 1.016 |

## Table II Feet To Meters

| Feet | Meters | Feet | Meters |
| 1 | 0.3048 | 14 | 4.2672 |
| 2 | 0.6096 | 15 | 4.5720 |
| 3 | 0.9144 | 16 | 4.8768 |
| 4 | 1.2192 | 17 | 5.1816 |
| 5 | 1.5240 | 18 | 5.4864 |
| 6 | 1.8288 | 19 | 5.7912 |
| 7 | 2.1336 | 20 | 6.0960 |
| 8 | 2.4384 | 21 | 6.40 |
| 9 | 2.7432 | 22 | 6.71 |
| 10 | 3.0480 | 23 | 7.01 |
| 11 | 3.3528 | 24 | 7.32 |
| 13 | 3.9624 | | |

## Table III Inches To Millimeters

| Inch/Inches | Millimeters | Inch/Inches | Millimeters |
| 1/32 | 0.8 | 21/32 | 16.7 |
| 1/16 | 1.6 | 11/16 | 17.5 |
| 3/32 | 2.4 | 23/32 | 18.3 |
| 1/8 | 3.2 | 3/4 | 19.1 |
| 5/32 | 4.0 | 25/32 | 19.9 |
| 3/16 | 4.8 | 13/16 | 20.7 |
| 7/32 | 5.6 | 27/32 | 21.5 |
| 1/4 | 6.4 | 7/8 | 22.3 |
| 9/32 | 7.1 | 29/32 | 23.1 |
| 5/16 | 7.9 | 15/16 | 23.9 |
| 11/32 | 8.7 | 31/32 | 24.7 |
| 3/8 | 9.5 | 1 | 25.4 |
| 13/32 | 10.3 | 2 | 50.8 |
| 7/16 | 11.1 | 3 | 76.2 |
| 15/32 | 11.9 | 4 | 101.6 |
| 1/2 | 12.7 | 5 | 127.0 |
| 17/32 | 13.5 | 6 | 152.4 |
| 9/16 | 14.3 | 7 | 177.8 |
| 19/32 | 15.1 | 8 | 203.2 |
| 5/8 | 15.9 | 9 | 228.6 |
| | | 10 | 254.0 |
| | | 11 | 279.4 |
| | | 12 | 304.8 |
| | | 13 | 320.2 |
| | | 14 | 355.6 |
| | | 15 | 381 |
| | | 16 | 406.4 |
| | | 17 | 431.8 |
| | | 18 | 457.2 |
| | | 19 | 482.6 |
| | | 20 | 508 |
| | | 21 | 533.4 |
| | | 22 | 558.8 |
| | | 23 | 584.2 |
| | | 24 | 609.6 |

## Table IV Miscellaneous Lengths

| English | Metric |
| 1 mile | 1.609 kilometers |
| 1 yard(3 ft) | 0.9144 meter |
| 3.28 ft | 1 meter |
| 39.37 inches | 1 meter |
| 1 inch | 2.54 centimeters |