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Guide

What is third angle projection, and how does it differ from first angle projection?

Short answer

Third angle projection is the orthographic drawing convention in which each view is placed on the same side of the front view as the face it shows: the top view sits above the front view and the right-side view sits to its right. First angle projection does the opposite, placing each view on the far side, so the top view sits below the front view and the right-side view sits to its left. Both conventions describe the same part; they only disagree about where the views go on the sheet.

By Saola Manufacturing engineering team · Published · Updated

The difference sounds cosmetic, but it is the root of a classic sourcing failure: a part that is made correctly to every dimension and still comes back as the mirror image of what the designer wanted. That happens most often when a drawing produced to ASME conventions in North America is read by a shop used to ISO first angle drawings, or the reverse. This guide explains how the two conventions place views, how to read the projection symbol, why a misread produces a mirrored part rather than an obviously broken one, and what to put on the drawing and the RFQ so the question never comes up.

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How do first angle and third angle projection place the views?

Both start from the same front view and differ only in which side of it each other view is drawn. In third angle the view of a face sits next to that face; in first angle it sits on the opposite side.

The names come from descriptive geometry. Imagine two perpendicular planes, one horizontal and one vertical, dividing space into four quadrants, or angles. In first angle projection the object sits in the first quadrant, between the observer and the projection plane, so each view is projected through the object onto a plane behind it. When the planes are unfolded flat, a view taken from the right lands on the left. In third angle projection the object sits in the third quadrant, behind a transparent projection plane, as if it were inside a glass box. Each view is traced on the glass in front of the face being viewed, and when the box is unfolded the view from the right lands on the right.

The second and fourth angles are never used for engineering drawings, because unfolding them makes views overlap. That leaves two conventions, both defined in ISO 5456-2:1996, which treats them as equally valid as long as the drawing shows which one it uses. The table below sets out the layout for a standard six-view arrangement around the front view.

View placement relative to the front view, summarized from ISO 5456-2:1996, ISO 128-3:2022 and ASME Y14.3-2012. A layout summary for drawing review, not text from the standards.
View (direction of sight)First angle: placedThird angle: placed
Top view (looking down)Below the front viewAbove the front view
Bottom view (looking up)Above the front viewBelow the front view
Right-side view (looking from the right)Left of the front viewRight of the front view
Left-side view (looking from the left)Right of the front viewLeft of the front view
Rear viewFar right or far left, beside a side viewFar right or far left, beside a side view
Projection symbolWide end of the cone faces the two circlesNarrow end of the cone points at the two circles
Usual homeMuch of Europe and Asia, Japan exceptedUS and Canada (ASME practice), also Japan and Australia

Two consequences follow. First, a drawing with only a front view carries no projection risk at all, but adding views does not remove the risk: as the next sections show, a misread flips every view the same way, so a third view agrees with the other two instead of exposing the error. Second, the views themselves look identical under both conventions. A right-side view is the same picture whichever way you lay out the sheet; only its position changes, and position is what the reader uses to decide which side of the part the picture shows.

How do you read the projection symbol in the title block?

The symbol is a truncated cone drawn twice: once from the side as a trapezoid and once from its narrow end as two concentric circles. If the narrow end of the trapezoid points at the circles the drawing is third angle, and if the wide end faces them it is first angle, whichever side of the sheet the circles happen to sit on.

Read the cone, not the left-right position: the symbol appears in both orientations, so “circles on the right” is not a reliable rule.

The cone is chosen because its end view is unambiguous. Seen from the narrow end, both the small face and the large outline are visible as two circles; seen from the wide end, the small face would be hidden and drawn dashed. So the pair of circles always represents the view looking at the narrow end, and which end of the trapezoid it sits beside tells you the convention. In the third angle symbol the narrow end of the trapezoid points toward the circles, because the view of a face is drawn next to that face. In the first angle symbol the wide end faces the circles, because the view is drawn on the far side.

A quick memory aid that many engineers use: in third angle, the cone points at its own end view. Another is to sketch the symbol from scratch using the placement rule and compare it with the title block, rather than relying on recall of which way the trapezoid faces.

Three cautions apply. The symbol only works if it is actually there, and older or hand-converted drawings often lack it or carry a stale one from a template. A symbol buried in a dense title block is easily missed by a reader who has seen hundreds of drawings in one convention and never had to look. And the symbol says nothing about the tolerancing standard; a first angle drawing can be toleranced to ASME Y14.5, and a third angle drawing to ISO GPS. The ASME Y14.5 vs ISO GPS guide covers that separate question. Writing the words “THIRD ANGLE PROJECTION” or “FIRST ANGLE PROJECTION” next to the symbol costs nothing and removes the dependence on the reader recognizing it.

Why does mixing ISO and ASME projection produce mirrored parts?

Because a misread convention flips every projected view the same way, so the reader reconstructs a consistent, perfectly buildable part that happens to be the mirror image of the intended one. Nothing on the sheet looks wrong, so nobody stops to ask.

Follow one misread through. A designer draws a bracket in third angle: front view, top view above it, right-side view to its right. A machinist used to first angle reads the view above the front as a view from below, and the view on the right as a view from the left. Each reinterpretation reverses the depth direction, front to back. Because both views are reversed in the same way, they agree with each other and with the front view. The part the machinist pictures is valid in every respect except that features near the front of the real part now sit at the back.

On a symmetric part this costs nothing, which is why the habit survives. On an asymmetric part it produces a left-hand part where a right-hand one was ordered: a mounting flange with its slots on the wrong side, an offset boss that clashes with a neighbor, a pocket opened from the wrong face, a chamfer on the edge that should be sharp. Every dimension can measure in tolerance because each dimension is still the correct distance between the correct pair of features; only the handedness is wrong.

The tells are subtle. Hidden lines are the best one: a misread view shows as visible edges that the reader’s mental model says should be hidden, and as hidden lines where the model says the edge should be in plain sight. Many production drawings omit hidden lines to reduce clutter, which removes the clue. Section views and removed views can help, because they carry cutting-plane or view arrows that state the direction of sight explicitly. A 3D model sent with the drawing is the strongest check of all, since a model has no projection convention to misread.

Mirrored opposite-hand pairs make the problem worse. When a drawing shows one part and a note says the opposite-hand part is its mirror image, a projection misread can produce two parts of the same hand, or two correct parts with swapped part numbers. Neither failure shows up until assembly.

Who uses third angle projection, and who uses first angle?

Third angle projection is the norm on drawings made to ASME standards in the United States and Canada, while first angle is the long-standing default across much of Europe and Asia. There are exceptions on both sides: Japan and Australia default to third angle in their national drawing standards, and British practice permits either.

In ASME practice, orthographic views are governed by ASME Y14.3, and third angle is the accepted default on US drawings; a sheet drawn in first angle needs the first angle symbol to say so. In ISO practice, ISO 128-3:2022 sets the general rules for views, sections and cuts and follows the projection methods specified in ISO 5456-2. ISO itself does not prefer either method, so the choice stays with the drawing owner and the drawing is expected to declare it with the graphical symbol.

Engineers who work across these markets meet both. A company with European and North American sites can hold first angle and third angle drawings for the same product family, and a design engineer can switch convention between projects without noticing. Shops in Asia that serve several export markets likewise see both on the same day, which is exactly the situation where the symbol stops being decoration and starts deciding which hand of part gets made.

CAD software adds a hidden variable. Drawing templates set the projection type, and a template copied from a European office or a supplier can silently produce first angle sheets inside a company that otherwise works in third angle. A symbol linked to the sheet setting follows it, but a hand-placed symbol from an old template may not. Checking that the symbol, the template setting and the actual view placement agree is a short step worth adding to drawing release.

How do you keep a drawing from being built mirrored when you source abroad?

Make the convention impossible to miss and give the supplier a second, convention-free source of truth. The symbol plus words in the title block, labeled views, an explicit hand on asymmetric parts and a 3D model with the RFQ together close the gap.

  1. Symbol and words. Place the projection symbol in the title block and write “THIRD ANGLE PROJECTION” beside it. If the sheet must be first angle, write that instead and say so in the RFQ email as well.
  2. Label views that matter. For any view whose direction is critical to handedness, use a view arrow with a letter and title the view, for example “VIEW A”. The reference arrow method in ISO 5456-2 and the removed-view practice in ASME Y14.3 both state the direction of sight explicitly, so placement no longer carries the meaning.
  3. Keep hidden lines on asymmetric features. A few hidden lines on the slot, boss or pocket that defines the hand let any reader detect a misread.
  4. Name the hand. On left-hand and right-hand pairs, give each its own part number and drawing, or at minimum a clear “OPPOSITE HAND” note that names which part is shown. Add a hand-defining feature to the part itself where you can, such as a marking or an asymmetric notch.
  5. Send the 3D model. A STEP file alongside the dimensioned PDF lets the supplier compare the drawing against the solid before programming. State which one governs if they disagree.
  6. Ask for handedness on the first article. Request that the first article report confirm orientation of the asymmetric features, not only dimensions, and ask for a photo of the part oriented as in the front view.

The RFQ package guide lists the rest of what to send, and the first article guide covers what that report should contain.

How does a supplier catch a projection mismatch before cutting metal?

By reading the projection symbol first, then checking that reading against the clues that do not depend on placement, such as hidden lines, view arrows and the 3D model, during drawing review and before any program is written. A first article checked for orientation, not only dimensions, then confirms the hand on a real part.

Projection errors are cheapest to find on paper. Checking the views against each other is not enough, because a misread set of views still agrees with itself. A reviewer who notes the convention first, then checks that hidden lines, section arrows and the 3D model all agree with that reading, has a real chance of catching a mismatch. The hardest cases are asymmetric parts drawn with no hidden lines, no view arrows and no model; those deserve a written question back to the designer rather than a guess.

At Saola, drawing review is the first step in our process for a new part: we read every tolerance, callout and note, and you receive a marked-up copy of your own drawing, as described on the quality and inspection page. A missing or contradictory projection symbol is exactly the kind of note that belongs on that copy. The first piece off new tooling is then measured against every toleranced dimension, and you receive the report. A mirrored part can pass a purely dimensional check, so if handedness matters, ask for orientation to be confirmed on that report as in the checklist above. For milled housings and machined castings, where pockets, bosses and tapped holes are often placed asymmetrically, see the CNC milling page for what that work covers. Send STEP or PDF with the projection marked, and the drawing goes straight to a quote request.

Frequently asked

Is third angle projection better than first angle?

Neither is technically better. Third angle places each view beside the face it shows, which many people find more intuitive, while first angle follows the older European tradition. What matters is that a drawing uses one convention and declares it.

Can one drawing mix first angle and third angle views?

It should not. A sheet that mixes them cannot be read reliably by either rule. If a view must sit somewhere other than its projected position, label it with a view arrow and a title so it becomes a removed view, independent of the convention.

Does a 3D model remove the need for the projection symbol?

It removes the risk of a mirrored part only if the model is sent and declared to agree with the drawing. The drawing still needs the symbol, because inspectors and reviewers work from the sheet.

Which projection should a UK or Australian engineer use for a US customer?

Use the convention the customer’s drawing standard calls for, which for most US companies is third angle per ASME Y14.3. If the drawing must stay in first angle, mark it clearly and mention it in the RFQ.

How can I tell the convention if the symbol is missing?

Look for hidden lines, section arrows or labeled views that fix the direction of sight, and compare with a 3D model if one exists. If none of these settle it, ask the designer; a guess is how mirrored parts get made.

Have a drawing for this? Send it for a quote.

STEP or PDF, one part or a whole family. You get a unit price at your volume, the tooling cost, and a short manufacturability note.