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Last Updated
03/31/2019
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Detailed entries for one subject from the INDEX TO HOW TO DO IT INFORMATION. |
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GEOMETRY & TRIGONOMETRY sa CURVE DRAWING x TRIGONOMETRY xx DRAFTING xx MATHEMATICS xx MEASURING & MARKING How to use a carpenter's square and a calculator with trig functions to lay out accurate angles. Quick method for calculating the number of degrees in each angle of a regular polygon. How to measure heights and distances by sighting along an angle. How to measure the distance across a river by using an equilateral triangle as a primary tool. BASIC program to calculate inverse sine or inverse cosine functions using the inverse tangent function found in most BASIC interpreters. Assembly language program to calculate sines and cosines. Written for Motorola 6800, but can be adapted to other processors. How an integer arithmetic BASIC can be used to write intricate programs involving trigonometric functions. Trigonometry in two easy black boxes. Calculate trigonometric functions using arithmetic operations. 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. BASIC program draws all chords within a polygon. 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. Workshop geometry. How to bisect lines and draw perpendicular lines. Workshop geometry. How to draw parallel lines and divide a line into an equal number of parts. Workshop geometry. Angles and triangles. Workshop geometry. Quadrilaterals. Workshop geometry. Circles. Part 1. Workshop geometry. Circles. Part 2. Workshop geometry. How to draw polygons. Workshop geometry. Proportioning. Workshop geometry. Layout. How to apply geometry to layout stairway parts including newel post, tread nosing, handrail, etc. Workshop geometry. Decorative arches. How to design and build them. Workshop geometry. Roof geometry. Workshop geometry. Ornamental roofs. 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. Workshop geometry. Geometric solids. How to layout the plan and front elevation of a given prism. 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. Workshop geometry. More on cylinders. Workshop geometry. How to draw the various views of a truncated pyramid. Workshop geometry. Cutting cones. A look at properties of a cone and how to construct the development drawings of cones and truncated cones. Workshop geometry. Advanced work with drawing cones. Splayed jambs, splayed crown, and eyebrow dormer. Workshop geometry. Changing sizes. How to enlarge or reduce sections and shapes or patterns. Workshop geometry. Changing sizes of drawings and plans. Polar method. Workshop geometry. Applications of drawing techniques to reduce and enlarge molding shapes. Workshop geometry. How to lay out a newel to receive a string and step. Workshop geometry. How to layout curved handrails on paper before trying to build them. Workshop geometry. How to transfer "free curves" from paper pattern to the material by using the graph method of pattern transfer. Workshop geometry. How to layout the geometry for bay window roof framing. Tabletop geometry. How to layout an octagon, hexagon, ellipse, or oval shape tabletop. Formulas for estimating the weight of a stack of hay or straw by computing the volume. 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. How to layout a sheet-metal cone with a given height and diameter. How to calculate the length of each side of a regular 12-sided figure (dodecagon) with a particular radius. Shop math. A look at simple geometry which is useful to the craftsman. Procedure to estimate angles using only a rule and a compass. Circle division table. Fast method to divide a circle into 3 to 100 equal parts. Technique for laying out equally spaced intervals on the circumference of a disk. Method for laying out a symmetrical five-point star using a compass and calculator. E-Z math (for electronics). Trigonometry made simple. Method for computing the height of a tall building or tree using simple geometry. 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. 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. Tip: How to divide a piece of wood into equal-width segments using a conventional ruler. 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. Carpenter's geometry. (1) Erect a perpendicular. (2) Find the center of a circle. (3) Using diagonals. Diagrams show how to divide the circumference of a circle into 3, 5, 6, 8, 10, and 12 equal arcs. 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. Exploring fractals (the geometry of any object that is composed of parts that resemble the object). 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. 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. 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.) How to make a model of the Csaszar polyhedron. 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. Shop calculation technique uses "Simpson's Rule" to find the area of an irregular shape. How to measure a bulk delivery of soil to quickly determine if the amount was close to what was promised. Practical shop geometry. (1) Finding the center of a circle. (2) Laying out ellipses. (3) Drawing hexagons, octagons and other polygons. Dividing a board into equal parts the easy way, using only a ruler. A formula for figuring the angle for each piece of any multiple-sided object. Geometric method for dividing circles into any number of segments. Technique to divide a circle into 12 equal segments when making a clock face. The stairbuilder and handrailer. Part 2. Basic geometry, including setting out ellipses, setting out the parabola, sequential curves and the helix. The craftsman in his workshop. Part 4. Woodworking geometry. A guide to the basics of geometrical construction. Angle wrangle. A quick course in trigonometry and geometry for the woodworker. How to draw octagons, hexagons and other angles. Method of calculating the radius of an arch when you know the width and height. The mystery of pyramids and related obelisks. How to determine the edge miter joint angles when making pyramid shapes from sheet material. Practical shop geometry. (1) How to make an ellipse. (2) How to divide any dimension into equal parts. 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. Formulas for calculating the area (square footage) of various house surfaces in order to determine the amount of paint needed. | |||||||||
Copyright © by Norman Lathrop Enterprises. All Rights Reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted, in any form or by any means (electronic, mechanical, print photocopying, recording or otherwise) without the prior expressed permission of Norman Lathrop Enterprises, except as permitted by law. |
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