School of Engineering · Playlist

Precision Measurement and Layout

Choosing and reading measuring tools, measuring reliably, and layout and angle measurement.

  1. Choosing Shop Measuring Tools
  2. Reading Measuring Scales
  3. Reliable Shop Measurement
  4. Shop Layout and Angle Measurement
Machining/Measurement and Fit

Choosing Shop Measuring Tools

Match the tool to the feature, the allowed size range, and the measurement you need to trust.

Choose from the tolerance and the shape of the feature

Choose from the tolerance and the shape of the feature

Start with what must be measured: an outside size, an opening, a depth, a height, or a small change from a reference.

As a rule of thumb, choose a tool that reads about ten times finer than the total tolerance. This is a starting point, not a standard or a guarantee that the measurement is good enough. Check its specified accuracy, condition, measuring range, and the way its contacts reach the part.

For a size of 0.625 ± 0.001 in, the total tolerance is 0.002 in. A starting resolution target is 0.002 / 10 = 0.0002 in. An outside micrometer reading 0.0001 in is a candidate for an accessible outside diameter. A 0.001 in caliper is too coarse for that rule of thumb.

See Tolerances and Fits for the allowed size range, Reading Measuring Scales for the numbers, and Reliable Shop Measurement for the technique.

Resolution is the increment; accuracy is agreement with a reference

Resolution is the increment; accuracy is agreement with a reference

Resolution
The smallest indicated change or scale increment. A display that changes by 0.0005 in has that resolution; its last digit is not an accuracy certificate.
Accuracy
How closely a measurement agrees with the reference value. Use the instrument's error specification and checks against suitable standards to judge its capability.
Precision
How closely repeated measurements agree under stated conditions. A dirty measuring face can give repeatable readings that are all wrong.

Extra digits cannot remove jaw wear, a tilted contact, dirt, or heat. Record the instrument and units along with the result when the measurement matters.

Use a steel rule for layout and quick size checks

Use a steel rule for layout and quick size checks

A steel rule is useful for stock lengths, approximate sizes, and setting a divider. Read the graduation pattern on the edge you are using: fractional edges may divide an inch into 8, 16, 32, or 64 parts; decimal edges may use 0.1, 0.05, 0.02, or 0.01 in increments. A decimal rule does not ordinarily have 0.001 in graduations.

Place the rule along the distance being measured and look straight at the marks. A damaged end is a poor zero. If you start at the 1 in line instead, subtract 1 in from the far-end reading. Do not use a rule to accept a feature with a tight size tolerance.

Calipers cover outside, inside, depth, and step measurements

Calipers cover outside, inside, depth, and step measurements

Dial, digital, and vernier calipers use a sliding jaw. The larger jaws measure outside sizes; the smaller jaws measure openings. A depth rod reaches down from the end of the beam. On tools with step faces, the back shoulders measure a step.

The readout changes how you read the tool, not how carefully you must position it.
ReadoutUse and readingWatch for
DialQuick mechanical reading: beam scale plus dial remainder.Check the marked value per revolution. Dirt in the rack can disturb the reading.
DigitalDirect numerical display; often offers inch/mm and relative zero.Confirm units and zero mode. Resolution varies by model; a common display increment is 0.0005 in / 0.01 mm.
VernierMain scale plus the aligned vernier division; no battery or dial mechanism.Read the correct scale and its least count. Inch 0.001 in tools can use different main-scale spacings.

Use light contact and keep the jaws square. Measure near the beam where access allows. Long jaws can flex; small inside jaws may not reach the true diameter of a small hole. A caliper's versatility does not make it the best tool for every tolerance.

Micrometers specialize in outside sizes, inside sizes, or depths

Micrometers specialize in outside sizes, inside sizes, or depths

An outside micrometer measures between a fixed anvil and a moving spindle. Choose a range that contains the dimension: a 1–2 in instrument does not start from zero like a 0–1 in instrument. A conventional inch scale reads 0.001 in; a sleeve vernier can add 0.0001 in readings. A conventional metric scale reads 0.01 mm. Digital models differ.

Outside micrometer with the frame, fixed anvil, moving spindle, sleeve, thimble, lock, and force-limiting ratchet labeled. The gap between the faces is the measured size.
The sleeve supplies the coarse reading; turning the thimble moves the spindle. The ratchet or friction device helps control contact force.

An inside micrometer spans an opening using internal contacts. Rod and two-point types require careful alignment; three-point types have a different contact arrangement. Check the reference and any extension length for the actual tool.

A depth micrometer rests its flat base on the reference face and extends a rod to the lower surface. Keep the base seated. Check the installed rod's range and the scale direction: many depth scales run opposite to an outside micrometer. Do not add a rod length without checking how that instrument is marked.

Indicators show change from a reference

Indicators show change from a reference

A dial indicator commonly has a plunger moving along its axis. A test indicator has a pivoting lever stylus and usually a shorter measuring range. Both are useful for alignment, comparing heights, and observing runout as a part turns.

Read the marked graduation and count revolutions where needed. Zeroing the bezel sets a reference; it does not turn the indicator into an absolute diameter tool. Total indicator reading, or TIR, is the maximum indication minus the minimum during a sweep. From −0.001 to +0.002 in, TIR is 0.003 in.

Use a rigid stand. A magnetic base needs a suitable magnetic support; it will not attach magnetically to granite. For plunger indicators, align motion with the plunger. For lever test indicators, follow the maker's stylus-angle instructions; the lever is normally close to parallel with the surface. These are different geometries.

Supporting detail: Addendum 1 — What a sweep can and cannot establish.

Gauge blocks supply a reference; transfer gauges carry a size; Practice

Gauge blocks supply a reference; transfer gauges carry a size

Gauge blocks have accurately finished opposing faces and a known length. Use suitable blocks to set a height, compare a measurement, or check an instrument. Clean and inspect the faces before wringing blocks together; follow their care instructions. A zero check alone is not a full calibration.

Build stacks from sizes actually present in the set. For example, 1.0000 + 0.1340 + 0.1005 = 1.2345 in uses three blocks if those sizes are available. Do not assume a set contains separate 0.0040 or 0.0005 in blocks.

A telescoping gauge transfers a bore size to an outside micrometer. With light locking friction, set the contacts slightly across the bore at an angle and sweep gently through the diameter; withdraw without changing the setting, then measure across the contacts. Follow the tool's instructions for locking and repeat until the technique is consistent.

A small-hole gauge expands rounded contacts inside a smaller opening. Adjust for light drag, withdraw as its design permits, and measure across the contacts with a micrometer. Neither transfer tool has its own numerical readout. Take readings at several depths and directions; keep them separate to reveal taper or out-of-roundness rather than averaging the shape away.

Practice choosing a tool

Supporting detail: Addendum 2 — Instrument references.

Machining/Measurement and Fit

Reading Measuring Scales

Read rules, micrometers, calipers, and verniers by separating the coarse scale from the remainder.

Read the unit and the graduation before the number

Read the unit and the graduation before the number

The same-looking line can mean 0.025 in, 0.5 mm, or something else. Identify the instrument and its scale before adding anything.

On a fractional rule, count spaces from the last whole inch using that edge's denominator. Seven 1/16 in spaces beyond 2 in gives 2 + 7/16 = 2.4375 in. That exact fraction-to-decimal conversion does not make the rule accurate to four decimal places.

On a decimal rule with 0.01 in spaces, eight spaces beyond 1.20 in gives 1.28 in. On a digital caliper, read the displayed unit and confirm whether the tool shows an absolute size or a deviation from a stored zero.

In inch shop speech, a thou is 0.001 in and a tenth often means 0.0001 in, one tenth of a thousandth. Write units and decimals to avoid confusing a shop tenth with 0.1 in.

An inch micrometer adds sleeve plus thimble

An inch micrometer adds sleeve plus thimble

For the conventional 0.001 in micrometer, one turn advances the spindle 0.025 in. The sleeve has a line every 0.025 in; each fourth line marks another 0.100 in. The thimble divides one turn into 25 spaces of 0.001 in.

  1. Read the last sleeve line reached by the thimble edge. Count the 0.100 in intervals and the extra 0.025 in lines.
  2. Read the thimble line at the sleeve's horizontal datum line.
  3. Add the two. Include the range offset for a larger micrometer according to its markings.

Example: sleeve 0.300 in plus two 0.025 in lines, with thimble 18 at the datum:

0.300 + 0.050 + 0.018 = 0.368 in

Watch the rollover. Sleeve 0.375 and thimble 24 gives 0.399 in. The next 0.001 in step gives sleeve 0.400 and thimble 0: 0.400 in. Do not add the old 0.025 in interval again.

A vernier micrometer adds the fourth decimal place

A vernier micrometer adds the fourth decimal place

The sleeve vernier divides a thimble space into ten parts. Read the sleeve and the whole 0.001 in thimble amount first, using the thimble graduation just passed when the datum falls between lines. Then find the sleeve vernier line that aligns with a thimble line.

Example: the last sleeve line is 0.450 in, the datum is between thimble 12 and 13, and sleeve vernier line 7 aligns:

0.4500 + 0.0120 + 7 × 0.0001 = 0.4627 in

The matching vernier line adds 0.0007 in, not 0.007 in. Do not round the thimble to 13 and then add the vernier. If the zero line aligns, add zero; the end line represents the same alignment at the next interval.

A metric micrometer includes the exposed half millimeter

A metric micrometer includes the exposed half millimeter

On a conventional 0.01 mm micrometer, one turn moves the spindle 0.5 mm. The sleeve shows whole millimeters and half-millimeter marks; 50 thimble spaces divide the turn into 0.01 mm increments.

If 8 mm and the following 0.5 mm mark are exposed, and thimble 23 aligns, the reading is 8 + 0.5 + 0.23 = 8.73 mm. If that half-millimeter mark is still covered, the same thimble position gives 8.23 mm.

At the rollover, 8.49 mm is sleeve 8.0 plus thimble 49; 8.50 mm is sleeve 8.5 plus thimble 0. Use the marked unit; these increments are not the inch micrometer's increments converted by eye.

A 0.001 in vernier caliper adds the aligned division

A 0.001 in vernier caliper adds the aligned division

For the 25-division inch vernier used here, each main-scale space is 0.025 in. Twenty-five vernier spaces occupy the length of 24 main-scale spaces, so each vernier space is 0.024 in. Their 0.001 in difference makes the fine reading possible.

Two original scale diagrams compare aligned zeros with a vernier shifted 0.003 inch. Main spaces are 0.025 inch and vernier spaces are 0.024 inch; after the shift the third vernier line aligns.
The shortened diagram shows the first few lines of a 25-division scale. The mismatch accumulates by 0.001 in per division.
  1. Read the last main-scale line at or before the vernier zero.
  2. Find the vernier division that lines up with a main-scale line.
  3. Add its division number × 0.001 in.

Vernier zero just beyond 1.325 in, with division 17 aligned, gives 1.325 + 0.017 = 1.342 in. It is the vernier zero, not the right end of the slider, that locates the coarse reading.

Supporting detail: Addendum 3 — Other 0.001 in verniers can have different spacing.

A dial caliper adds the beam reading and the dial remainder

A dial caliper adds the beam reading and the dial remainder

On an inch dial caliper marked 0.100 in per revolution, the dial's 100 divisions each represent 0.001 in. Read whole inches and completed 0.100 in intervals on the beam, then add the dial reading.

Beam 1.200 in and dial 47 gives 1.200 + 0.047 = 1.247 in. Beam 1.200 plus dial 99 is 1.299 in. At the next thousandth the beam reaches 1.300 and the dial returns to zero.

Some dial calipers use a different travel per revolution. Check the dial markings rather than assuming this example applies. Clean the jaws, close gently, check zero, and confirm the reading again after measuring.

Practice reading a new micrometer or vernier scale; Interactive; Practice

Practice reading a new micrometer or vernier scale

The trainer draws ideal scales with zero error. It teaches reading, not instrument accuracy. Micrometer examples stay within 0–1 in; caliper examples stay below 2 in. Enter the exact indicated reading in inches.

Read these scale positions before uncovering the answers. These examples also serve as the print version of the trainer.

  1. Inch micrometer: sleeve 0.275 in, thimble 24 at the datum.
  2. Vernier micrometer: sleeve 0.275 in, datum between thimble 24 and 0, vernier line 9 aligned.
  3. 25-division vernier caliper: zero past main line 1.150 in, division 8 aligned.
Readings as sums

1. 0.275 + 0.024 = 0.299 in.
2. 0.2750 + 0.0240 + 0.0009 = 0.2999 in.
3. 1.150 + 0.008 = 1.158 in.

Add a micrometer reading to practice Add a vernier reading to practice

Supporting detail: Addendum 4 — Reading references.

Machining/Measurement and Fit

Reliable Shop Measurement

Control zero, contact force, alignment, cleanliness, and temperature before trusting the last digit.

Clean, check, measure, and check again; Checklist

Clean, check, measure, and check again

A good reading starts before the scale is read. Use this sequence with the instrument's own instructions.

  • Identify the feature, its limits, and its reference surfaces. Choose a suitable measuring tool.
  • Clean the contact faces and the part. Look for chips, dirt, raised burrs, and damage that would hold the contacts apart.
  • Let the part and instrument settle to the measuring environment. Avoid a freshly cut hot part or a tool warmed by long handling.
  • Check zero or the correct setting reference. Close a 0–1 in outside micrometer gently; use the appropriate setting standard for larger ranges or inside tools.
  • For a critical size, check a suitable known reference near the working size as well. Confirm the instrument is within its required calibration status.
  • Measure with the intended contact force and alignment. Release and repeat to check that you can reproduce the reading.
  • Record the result with units, location, and enough method information to repeat it. Check zero again afterward; investigate any change.

Zero adjustment removes an offset at one position. It cannot repair worn jaws, a damaged screw, or an error that changes along the range. If a tool fails its checks, have it evaluated rather than hiding the error with a new zero.

Use consistent light contact instead of squeezing out a number

Use consistent light contact instead of squeezing out a number

With a micrometer, bring the faces close, then use the ratchet or friction thimble as its maker directs. These devices help repeat the measuring force. They do not make dirt, tilt, or a flexible part disappear.

Use a smooth, slow approach. The required clicks or turns depend on the mechanism; a friction thimble may slip without clicking. Do not force the main thimble after the force-limiting device operates. The spindle lock holds a setting; it is not a clamp for tightening the measurement.

With a caliper or transfer gauge, feel means consistent light contact or drag, not a hard squeeze. Too much force bends jaws and compresses thin parts. Repeated readings should agree because the setup is repeatable, not because the tool has been forced to the expected number.

Keep contacts square and look straight at the scale

Keep contacts square and look straight at the scale

A tilted instrument can span a diagonal rather than the intended distance. For an outside diameter, keep the measuring direction perpendicular to the cylinder's axis. For a two-point inside measurement, the contacts must pass through the bore center in the cross-section while staying square along its length. A single instruction to “always find the largest” or “always find the smallest” does not cover both alignment directions.

Parallax is a reading error from looking at separated scales at an angle: the marks appear to shift against each other. Put your eye square to the reading line. Good lighting helps distinguish a line from a reflection.

For an indicator, keep its intended motion and contact geometry aligned. Preload enough to maintain contact throughout the expected movement, while staying within its usable travel. Do not apply a universal number of needle turns to both plunger and lever instruments.

Abbe error grows when tilt acts through an offset

Abbe error grows when tilt acts through an offset

The scale on a caliper runs along the beam, while the part often touches farther down the jaws. If the moving jaw tilts a little, its tip moves more than the scale location does. The scale misses that extra motion. This is Abbe error.

Picture a door: a small rotation moves the handle much farther than a point near the hinge. Greater distance between the measurement line and the scale line gives tilt more room to create error.

Keep the part near the beam when access permits, use light contact, and avoid loose or worn sliders. An ordinary outside micrometer puts its measurement and screw axes in line, reducing this particular source of error. Alignment still matters.

Supporting detail: Addendum 5 — The offset-and-angle relationship.

Temperature and surface condition can move the result; Practice

Temperature and surface condition can move the result

Parts and instruments change size with temperature. Let them approach the same stable measuring conditions; follow the reference temperature and corrections required by the inspection procedure. Avoid direct sun, drafts, and prolonged hand contact with precision tools.

Clean contact faces matter because the instrument measures what touches them. A chip can enlarge an apparent outside size; a raised edge can hold a depth-micrometer base above its reference. Surface peaks can affect contact too. See Surface Texture and Finish for surface condition rather than treating every last-digit change as a size change.

Measure at several positions when taper or out-of-roundness matters. Keep the individual values. An average can hide an oversize region and does not prove the whole feature meets its limits.

In this invented classroom example, each value is a local diameter reading in a 20 mm-deep bore. Near, middle, and far name axial stations 2, 10, and 18 mm from the entry face. X and Y are two marked perpendicular diametral directions at each station.

Invented classroom local-diameter readings; treat the stated values as exact
Axial station from entry faceDiametral directionLocal diameter (mm)
Near — 2 mmX20.000
Near — 2 mmY20.002
Middle — 10 mmX20.001
Middle — 10 mmY20.003
Far — 18 mmX20.004
Far — 18 mmY20.026

For stated limits of 19.980 to 20.020 mm, the six-reading mean is 120.036 / 6 = 20.006 mm, inside the limits. The far-depth Y reading is 20.026 mm, above the stated upper limit. Keep that location with the value: the in-limit average does not make the sampled high reading disappear. These six local readings do not establish the size or form of the unsampled bore.

Practice interpreting bore readings

For the operating rules around machines, use Equipment Operating Procedure and Machine Hazards and Housekeeping. For the numerical limits themselves, use Tolerances and Fits.

Machining/Measurement and Fit

Shop Layout and Angle Measurement

Carry dimensions from a reference onto the work with clear lines, checked centers, and correctly read angles.

Start layout from a reference you can return to

Start layout from a reference you can return to

Layout places lines, arcs, and points on a part to guide cutting or locate features. A neat line is useful only when it is in the right place.

Identify the reference surfaces from which dimensions are taken. Keep using those references rather than measuring each new line from the last one. A layout mark guides the work; it does not prove the finished part is within tolerance.

A surface plate supplies a reference plane for layout and inspection. Clean the plate, the part's supporting face, and the tool base. Support the part so it cannot rock. Use an appropriate angle plate or V-block when the shape needs support.

Protect the plate from impact and abrasive work. Its flatness depends on its size, grade, condition, and calibration; “a surface plate” does not imply one universal accuracy. Follow its specified support arrangement. Level and flat are different: leveling a plate does not repair a worn surface.

Dye makes a fine scribed line easier to see

Dye makes a fine scribed line easier to see

Layout dye adds contrast. Prepare the surface, apply a thin coating as directed, and let it dry before marking. Use Chemicals and Safety Data Sheets for chemical handling guidance.

A scriber scratches a narrow line through the coating. Hold the guide firmly and draw the point along it with light, consistent pressure. Repeated passes can make a wide, ambiguous mark. Scribe only where the drawing and process allow a permanent scratch.

A surface gage carries an adjustable scriber at a fixed height above its base. Set it from a separate height reference, then move the base along the plate to scribe a line parallel to that plane. A surface gage ordinarily has no direct height scale.

A height gage adds a scale or readout. Set its reference correctly, seat the base flat, set and lock the height as intended, and make the line. With a suitable probe it can compare or measure heights. It is not simply another name for a depth gage.

Supporting detail: Addendum 6 — Finding the middle of two heights.

Dividers and trammels carry a distance into an arc

Dividers and trammels carry a distance into an arc

Dividers have two pointed legs. Set their spacing from a suitable scale, hold one point at the center, and swing the other to mark a circle or arc. They can also transfer or step off equal distances.

Trammels put adjustable points on a beam for radii too large for ordinary dividers. Lock the points after setting, support the beam, and check the spacing again before marking.

The point spacing is the radius, not the diameter. For a 3.00 in diameter circle, set 1.50 in between points. Recheck transferred dimensions against the original reference; repeated stepping can accumulate error.

Prick-punch the location; center-punch after checking it

Prick-punch the location; center-punch after checking it

A prick punch has a sharper point for a small, precise location mark at intersecting layout lines. A center punch makes a wider depression to help start a drilling operation. Point angles vary by tool; the important distinction here is the fine locating mark versus the wider starting mark.

Locate the point carefully, bring the punch upright, and make a light mark. Check the location before enlarging it. A heavy first mark is difficult to correct. Support the work on a suitable punching support, away from the precision surface plate.

A punch mark is not a substitute for the machine setup or spotting method needed to locate a hole accurately. Check the finished feature with a suitable measuring method. Use Personal Protective Equipment and Equipment Operating Procedure for the applicable shop rules.

Supporting detail: Addendum 7 — Punch types and their uses.

A combination set uses one blade with three different heads

A combination set uses one blade with three different heads

Square head
Provides 90° and 45° reference faces. With the blade it can lay out right angles, check squareness, or establish an offset or depth. Seat the reference face fully before reading or scribing.
Center head
Its two faces seat on round stock, positioning the blade along a diameter. Scribe one line, rotate the work or head, and scribe another; their intersection locates the center on the end face.
Protractor head
Sets the blade to an angle on a graduated head. Read the scale in the correct direction, lock the setting, and recheck contact with the reference.

Clean the mating faces and blade groove so the head seats properly. Pick the tool's accuracy for the task: a combination set is useful for layout, but it does not automatically replace a precision square or a finer angle instrument.

A universal bevel transfers an angle; a vernier protractor reads it; Practice

A universal bevel transfers an angle; a vernier protractor reads it

A universal bevel has an adjustable blade and stock that can fit against two surfaces. Lock it to transfer or compare an angle. A plain bevel has no numerical scale; obtain the angle from a separate reference.

A vernier bevel protractor combines the adjustable blade with degree and vernier scales. On a 5-minute instrument, each matching vernier division adds 5 arcminutes. 60 minutes = 1 degree, so 5 minutes is 1/12 degree. This is the reading increment, not a universal accuracy claim.

  1. Seat the stock and blade against the intended surfaces. Identify the angle being measured.
  2. Read the whole degrees between the main zero and the vernier zero.
  3. Use the vernier on the same side and in the same reading direction as those degrees. Find the matching division.
  4. Add the matching division number × 5 minutes to the whole degrees.

Example: 32 whole degrees and the seventh matching vernier division give 32° + 7 × 5′ = 32°35′. That is 32 + 35/60 = 32.5833…°, not 32.35°.

Check the contact geometry before reporting an obtuse angle. If the instrument has measured the acute supplement, a reading of 32°35′ corresponds to 180° − 32°35′ = 147°25′ for the required obtuse angle. Do not automatically subtract every reading from 180°.

Practice bevel-protractor readings

Supporting detail: Addendum 8 — Why the 5-minute vernier works.

Check the layout before making a permanent cut; Checklist

Check the layout before making a permanent cut

  • Confirm the reference surfaces and dimension directions.
  • Check each line or center from the intended reference, including radius versus diameter.
  • Verify the height or angle after locking the tool.
  • Check the mark before punching more deeply or beginning the cut.
  • Plan how to measure the finished feature; use Choosing Shop Measuring Tools and Tolerances and Fits.

Drawing views and dimensioning conventions belong in the Engineering Graphics collection. Layout follows those requirements; it does not redefine them.

Supporting detail

Addendum

Additional evidence, standards context, and background referenced from the main text.

  1. Machining/Measurement and Fit/Choosing Shop Measuring Tools

    Addendum 1. What a sweep can and cannot establish

    A sweep combines the part's shape with its orientation and support. Runout is not a direct measurement of formal concentricity. A height sweep relative to a plate can reveal variation, but calling it a flatness inspection requires the proper setup and evaluation. Follow the drawing's specified inspection method.

    Back to reference 1

  2. Machining/Measurement and Fit/Reading Measuring Scales

    Addendum 3. Other 0.001 in verniers can have different spacing

    A 50-division vernier can span 49 main-scale spaces of 0.050 in. Each vernier space is 0.049 in, again leaving a 0.001 in difference. Read the actual main scale; do not apply the trainer's 0.025 in spacing to that tool. The Starrett catalog, page 102, illustrates the 50-division arrangement.

    Back to reference 3

  3. Machining/Measurement and Fit/Reliable Shop Measurement

    Addendum 5. The offset-and-angle relationship

    For a small angle, the error is approximately the offset multiplied by the tilt in radians. An offset of 2 in and a tilt of 0.0005 rad give about 0.001 in of error. This is distinct from simply looking at the scale from an angle. See the Abbe discussion in the Mitutoyo Quick Guide, page 11.

    Back to reference 5

  4. Machining/Measurement and Fit/Shop Layout and Angle Measurement

    Addendum 6. Finding the middle of two heights

    If the lower edge of a slot is 0.600 in above the reference and the upper edge is 0.900 in above it, the center is (0.600 + 0.900) / 2 = 0.750 in above that reference. Half the difference, 0.150 in, is half the slot height; it still must be added to the lower height.

    Back to reference 6

  5. Machining/Measurement and Fit/Shop Layout and Angle Measurement

    Addendum 8. Why the 5-minute vernier works

    On the arrangement described in the Starrett catalog, page 306, 12 vernier spaces span 23 main-scale degrees. Each vernier space is 23/12 degrees, or 1°55′: 5 minutes short of two degrees. The line alignment reveals that difference. Page 308 distinguishes a plain universal bevel from the graduated protractor used with it.

    Back to reference 8