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Detailed entries for one subject from the INDEX TO HOW TO DO IT INFORMATION.
Click on a see also (sa) or tracing (xx) to view detailed entries about a related subject.
The entries are in alphabetical order by magazine name and then in chronological sequence.
To obtain a copy of any magazine article contact your local public library or the publisher.


How to use a carpenter's square and a calculator with trig functions to lay out accurate angles.
AMERICAN WOODWORKER #19 Mar-Apr 1991 pg. 14

Quick method for calculating the number of degrees in each angle of a regular polygon.
AMERICAN WOODWORKER #28 Sep-Oct 1992 pg. 14

How to measure heights and distances by sighting along an angle.
BOYS' LIFE Sep 1977 (v.67#9) pg. 56

How to measure the distance across a river by using an equilateral triangle as a primary tool.
BOYS' LIFE Feb 1983 (v.73#2) pg. 45

BASIC program to calculate inverse sine or inverse cosine functions using the inverse tangent function found in most BASIC interpreters.
BYTE Mar 1979 (v.4#3) pg. 92
Correction BYTE Jun 1979 (v.4#6) pg. 133

Assembly language program to calculate sines and cosines. Written for Motorola 6800, but can be adapted to other processors.
BYTE Apr 1979 (v.4#4) pg. 170

How an integer arithmetic BASIC can be used to write intricate programs involving trigonometric functions.
BYTE May 1979 (v.4#5) pg. 110

Trigonometry in two easy black boxes. Calculate trigonometric functions using arithmetic operations.
BYTE May 1979 (v.4#5) pg. 184

Minimizing curve-plotting calculation. A simple trigonometric analysis program written for a Hewlett-Packard 9825A desktop computer will yield an accurate approximation of a function and print the curve on a H-P plotter.
BYTE Dec 1979 (v.4#12) pg. 134
Added Info BYTE May 1980 (v.5#5) pg. 152

BASIC program draws all chords within a polygon.
BYTE Feb 1980 (v.5#2) pg. 140

Electronic planimetry utilizes a "BitPad" digitizer and a computer to measure the area of a two-dimensional figure by tracing its perimeter. Program written in PASCAL.
BYTE Mar 1980 (v.5#3) pg. 114

Workshop geometry. How to bisect lines and draw perpendicular lines.
CANADIAN WORKSHOP Jun 1982 (v.5#9) pg. 14

Workshop geometry. How to draw parallel lines and divide a line into an equal number of parts.
CANADIAN WORKSHOP Jul 1982 (v.5#10) pg. 14

Workshop geometry. Angles and triangles.
CANADIAN WORKSHOP Aug 1982 (v.5#11) pg. 15

Workshop geometry. Quadrilaterals.
CANADIAN WORKSHOP Sep 1982 (v.5#12) pg. 12

Workshop geometry. Circles. Part 1.
CANADIAN WORKSHOP Oct 1982 (v.6#1) pg. 10

Workshop geometry. Circles. Part 2.
CANADIAN WORKSHOP Nov 1982 (v.6#2) pg. 10

Workshop geometry. How to draw polygons.
CANADIAN WORKSHOP Jan 1983 (v.6#4) pg. 11

Workshop geometry. Proportioning.
CANADIAN WORKSHOP Feb 1983 (v.6#5) pg. 12

Workshop geometry. Layout. How to apply geometry to layout stairway parts including newel post, tread nosing, handrail, etc.
CANADIAN WORKSHOP Mar 1983 (v.6#6) pg. 11

Workshop geometry. Decorative arches. How to design and build them.
CANADIAN WORKSHOP Apr 1983 (v.6#7) pg. 12

Workshop geometry. Roof geometry.
CANADIAN WORKSHOP Jun 1983 (v.6#9) pg. 11

Workshop geometry. Ornamental roofs.
CANADIAN WORKSHOP Aug 1983 (v.6#11) pg. 11

Workshop geometry. Designing hoppers for use as planters, concrete forms, etc. They usually involve cutting miters and cross-sections which are larger at the top than at the bottom.
CANADIAN WORKSHOP Sep 1983 (v.6#12) pg. 11

Workshop geometry. Geometric solids. How to layout the plan and front elevation of a given prism.
CANADIAN WORKSHOP Oct 1983 (v.7#1) pg. 11

Workshop geometry. Chimney shape. How to draw the plan and elevation of a sheet metal chimney or chimney flashing where it must intersect a sloping roof.
CANADIAN WORKSHOP Nov 1983 (v.7#2) pg. 11

Workshop geometry. More on cylinders.
CANADIAN WORKSHOP Dec 1983 (v.7#3) pg. 11

Workshop geometry. How to draw the various views of a truncated pyramid.
CANADIAN WORKSHOP Jan 1984 (v.7#4) pg. 11

Workshop geometry. Cutting cones. A look at properties of a cone and how to construct the development drawings of cones and truncated cones.
CANADIAN WORKSHOP Feb 1984 (v.7#5) pg. 11

Workshop geometry. Advanced work with drawing cones. Splayed jambs, splayed crown, and eyebrow dormer.
CANADIAN WORKSHOP Mar 1984 (v.7#6) pg. 8

Workshop geometry. Changing sizes. How to enlarge or reduce sections and shapes or patterns.
CANADIAN WORKSHOP May 1984 (v.7#8) pg. 24

Workshop geometry. Changing sizes of drawings and plans. Polar method.
CANADIAN WORKSHOP Jun 1984 (v.7#9) pg. 12

Workshop geometry. Applications of drawing techniques to reduce and enlarge molding shapes.
CANADIAN WORKSHOP Jul 1984 (v.7#10) pg. 54

Workshop geometry. How to lay out a newel to receive a string and step.
CANADIAN WORKSHOP Sep 1984 (v.7#12) pg. 10

Workshop geometry. How to layout curved handrails on paper before trying to build them.
CANADIAN WORKSHOP Oct 1984 (v.8#1) pg. 56

Workshop geometry. How to transfer "free curves" from paper pattern to the material by using the graph method of pattern transfer.
CANADIAN WORKSHOP Nov 1984 (v.8#2) pg. 48

Workshop geometry. How to layout the geometry for bay window roof framing.
CANADIAN WORKSHOP Dec 1984 (v.8#3) pg. 53

Tabletop geometry. How to layout an octagon, hexagon, ellipse, or oval shape tabletop.
CANADIAN WORKSHOP May 1988 (v.11#8) pg. 12

Formulas for estimating the weight of a stack of hay or straw by computing the volume.
COUNTRYSIDE & SMALL STOCK JOURNAL Mar-Apr 1986 (v.70#3) pg. 29

Program for a Commodore C-64 computer which calculates trigonometric values of any right triangle. Useful when designing radio antennas, towers, masts, guy wires, etc.
CQ. THE RADIO AMATEUR'S JOURNAL Mar 1986 (v.42#3) pg. 40

How to layout a sheet-metal cone with a given height and diameter.
FINE HOMEBUILDING #4 Aug-Sep 1981 pg. 6

How to calculate the length of each side of a regular 12-sided figure (dodecagon) with a particular radius.
FINE HOMEBUILDING #86 Feb-Mar 1994 pg. 18

Shop math. A look at simple geometry which is useful to the craftsman.
FINE WOODWORKING #22 May-Jun 1980 pg. 68

Procedure to estimate angles using only a rule and a compass.
FINE WOODWORKING #26 Jan-Feb 1981 pg. 26

Circle division table. Fast method to divide a circle into 3 to 100 equal parts.
FINE WOODWORKING #38 Jan-Feb 1983 pg. 12

Technique for laying out equally spaced intervals on the circumference of a disk.
FINE WOODWORKING #65 Jul-Aug 1987 pg. 12
Added Info FINE WOODWORKING #76 May-Jun 1989 pg. 14

Method for laying out a symmetrical five-point star using a compass and calculator.
FINE WOODWORKING #89 Jul-Aug 1991 pg. 16
Added Info FINE WOODWORKING #94 May-Jun 1992 pg. 12 (No tool method)

E-Z math (for electronics). Trigonometry made simple.
HANDS-ON ELECTRONICS Apr 1988 (v.5#4) pg. 75

Method for computing the height of a tall building or tree using simple geometry.
HOME MECHANIX #728 Dec 1988 (v.84) pg. 88
Added Info HOME MECHANIX #732 Apr 1989 (v.85) pg. 8

Layout techniques for the workshop. Some basic tips and ideas for jigs to simplify layouts for repeated jobs. (1) Template for frequently used circle sizes. (2) Simple way to locate lathe center points on the end of square stock. (3) Even division of circles. (4) Marking hidden edges. (5) Making ellipses. (6) Laying out a corner radius. (7) Locating the center of round stock. (8) Automatic layout for center punching. (9) Drawing compass-struck arcs at the edge of material. (10) Dividing odd-size pieces into equal widths. (11) Draw circles on material with the center cut out. (12) Scribe easy-to-see lines on metal. (13) Self-centering fixture for layout out and drilling rounds. (14) Automatic center-line scriber. (15) Angle layouts.
HOMEOWNER Sep 1985 (v.10#7) pg. 63

Subroutines to compute the arc sine and arc cosine of an angle. Written in BASIC.

BASIC programs to calculate the area of complex and irregular geometric shapes.

The geometry of the pyritohedron and how to draw one.
LAPIDARY JOURNAL Nov 1980 (v.34#8) pg. 1808

Tip: How to divide a piece of wood into equal-width segments using a conventional ruler.
MECHANIX ILLUSTRATED #676 Aug 1984 (v.80) pg. 18

Technique for gauging the pitch of a roof while standing on the ground. Requires a folding rule which functions like a sextant to determine the pitch.
OLD-HOUSE JOURNAL May-Jun 1990 (v.18#3) pg. 18

Carpenter's geometry. (1) Erect a perpendicular. (2) Find the center of a circle. (3) Using diagonals.
OLD-HOUSE JOURNAL Mar-Apr 1992 (v.20#2) pg. 64

Diagrams show how to divide the circumference of a circle into 3, 5, 6, 8, 10, and 12 equal arcs.
POPULAR MECHANICS Jul 1981 (v.156#1) pg. 86

Building your mathematical tool box. (1) Measuring circumference of the earth. (2) Measuring land and laying out square corners with the 3,4,5 triangle. (3) Measuring height of tall objects using shadows. (4) Rules of probability. (5) Measuring the circumference of a circle. (6) Topology and the Mobius strip.
SCIENCE PROBE! Jul 1991 (v.1#3) pg. 20
Added Info SCIENCE PROBE! Apr 1992 (v.2#2) pg. 19
Added Info SCIENCE PROBE! Nov 1992 (v.2#4) pg. 6

Exploring fractals (the geometry of any object that is composed of parts that resemble the object).
SCIENCE PROBE! Oct 1991 (v.1#4) pg. 49

Dimensions for constructing segments which form large cardboard paraboloids (up to 5 ft. in diameter) capable of picking up sound or light and focusing it with a focus ratio of f/.25 or less.
SCIENTIFIC AMERICAN Dec 1973 (v.229#6) pg. 127
Correction SCIENTIFIC AMERICAN Nov 1974 (v.231#5) pg. 128

A simple technique for making a reasonably accurate paraboloid with a diameter of about two feet. Article describes how to make a paraffin mold and then how to make a permanent paraboloid of fiberglass.
SCIENTIFIC AMERICAN Nov 1974 (v.231#5) pg. 127

How to make cylindrical and conical anamorphoscopes. Also includes instructions for making drawings using the geometrical technique and with the use of an enlarger or 35mm slide projector. (Anamorphic art is realistic art that has been grossly distorted in projection. By viewing the distortion through an anamorphoscope the image is reflected undistorted.)
SCIENTIFIC AMERICAN Jan 1975 (v.232#1) pg. 110

How to make a model of the Csaszar polyhedron.
SCIENTIFIC AMERICAN May 1975 (v.232#5) pg. 102

Setting circles from a dot-matrix printer. Circle-dividing program, written in BASIC, is used to generate paper strips (of various lengths) which are divided into 360 equal parts. Wrapped around a circular object, the can form a setting circle, degree scale, etc.
SKY & TELESCOPE Mar 1988 (v.75#3) pg. 304

Shop calculation technique uses "Simpson's Rule" to find the area of an irregular shape.
SPORT AVIATION Jan 1990 (v.39#1) pg. 64

How to measure a bulk delivery of soil to quickly determine if the amount was close to what was promised.
SUNSET Oct 1985 (v.175#4) pg. 274

Practical shop geometry. (1) Finding the center of a circle. (2) Laying out ellipses. (3) Drawing hexagons, octagons and other polygons.
WOOD MAGAZINE #14 Dec 1986 (v.3#6) pg. 54
Added Info WOOD MAGAZINE #16 Apr 1987 (v.4#2) pg. 8
Added Info WOOD MAGAZINE #17 Jun 1987 (v.4#3) pg. 13
Added Info WOOD MAGAZINE #18 Aug 1987 (v.4#4) pg. 12

Dividing a board into equal parts the easy way, using only a ruler.
WOOD MAGAZINE #15 Feb 1987 (v.4#1) pg. 98

A formula for figuring the angle for each piece of any multiple-sided object.
WOOD MAGAZINE #63 Sep 1993 (v.10#6) pg. 87
Added Info WOOD MAGAZINE #80 Aug 1995 (v.12#5) pg. 16
Added Info WOOD MAGAZINE #85 Jan 1996 (v.13#1) pg. 20

Geometric method for dividing circles into any number of segments.
WOOD MAGAZINE #75 Dec 1994 (v.11#9) pg. 22

Technique to divide a circle into 12 equal segments when making a clock face.
WOOD MAGAZINE #115 Jun 1999 (v.16#4) pg. 32

The stairbuilder and handrailer. Part 2. Basic geometry, including setting out ellipses, setting out the parabola, sequential curves and the helix.
WOODWORKER #1011 Feb 1978 (v.82) pg. 60

The craftsman in his workshop. Part 4. Woodworking geometry. A guide to the basics of geometrical construction.
WOODWORKER #1068 Nov 1982 (v.86) pg. 728
Added Info WOODWORKER #1072 Mar 1983 (v.87) pg. 205

Angle wrangle. A quick course in trigonometry and geometry for the woodworker. How to draw octagons, hexagons and other angles.
WOODWORKER Feb 1987 (v.91#2) pg. 140
Added Info WOODWORKER Jun 1987 (v.91#6) pg. 539

Method of calculating the radius of an arch when you know the width and height.
WOODWORKER Mar 1989 (v.93#3) pg. 240

The mystery of pyramids and related obelisks. How to determine the edge miter joint angles when making pyramid shapes from sheet material.
WOODWORKER Feb 1994 (v.98#2) pg. 94
Added Info WOODWORKER Apr 1994 (v.98#4) pg. 81
Added Info WOODWORKER Jun 1994 (v.98#6) pg. 90, 91

Practical shop geometry. (1) How to make an ellipse. (2) How to divide any dimension into equal parts.
WORKBENCH May-Jun 1971 (v.27#3) pg. 36

Shop geometry. (1) How to make a jig for drawing an ellipse. (2) How to draw an ellipse with T-square, triangle, pencil compass and a French curve. (3) How to create a round corner that flows smoothly into the sides. (4) How to create a smooth circle or arc between a straight line and a circle. (5) How to smoothly join two circles. (6) How to draw an ogee (cyma) curve. (7) How to bisect any angle.
WORKBENCH Nov-Dec 1977 (v.33#6) pg. 114

Formulas for calculating the area (square footage) of various house surfaces in order to determine the amount of paint needed.
WORKBENCH Jul-Aug 1985 (v.41#4) pg. 49