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First Angle vs Third Angle Projection: View Layout and Symbol Explained

First angle and third angle projection show the same views of a part, placed on opposite sides of the front view. Third angle, used in the US, puts each view on the side it looks at, while first angle, used in most of Europe and Asia, swaps them. This guide shows where every view goes, how to read the projection symbol and how to avoid making a mirrored part.

What is the difference between first angle and third angle projection?

The difference is only where the views sit on the sheet. In third angle projection the top view is drawn above the front view and the right side view to its right. In first angle projection the top view is drawn below the front view and the right side view to its left. The views themselves are identical.

  • Third angle. Each view sits on the side of the front view that it looks at. Looking down from above gives the top view, so it goes above.
  • First angle. Each view sits on the far side, as if the part had been rolled over onto the paper. The top view lands below the front view.
  • Same part, same views. A hole seen from the right looks the same in both; only its position on the sheet changes.

That is why the two are easy to confuse. A first angle drawing read as third angle still looks like a sensible set of views, and nothing on the sheet looks wrong until the part is made with a feature on the wrong side.

Where does each view go in first and third angle?

Start from the front view, which is the same in both systems. Every other view is placed beside it, lined up with it, on the side that its projection method sets. The table gives the position of each of the usual views relative to the front view.

ViewThird angleFirst angle
Top viewAbove the front viewBelow the front view
Bottom viewBelow the front viewAbove the front view
Right side viewRight of the front viewLeft of the front view
Left side viewLeft of the front viewRight of the front view

Most drawings use only three views: front, top and one side. On a third angle drawing that is the usual “L” shape with the top view above and the right side view to the right. On a first angle drawing the same three views form an upside-down “L”, with the top view below and the side view on the left.

Section, detail and auxiliary views are labelled with letters and can sit anywhere, so they do not depend on the projection. Only the plain orthographic views around the front view follow these rules.

Why are they called first angle and third angle?

The names come from geometry. A horizontal and a vertical plane cross to make four quadrants, or angles. Put the part in the first quadrant and it sits between you and the planes; put it in the third and the planes sit between you and the part. Unfolding the planes flat gives the two layouts.

  • Third angle, the glass box. Picture the part inside a glass box. Trace each view onto the glass face you look through, then unfold the box. Each view stays next to the face it was traced on.
  • First angle, the shadow. Picture a light behind you casting the part’s shadow onto the wall beyond it. Each view lands on the plane behind the part, so after unfolding it ends up on the opposite side.
  • No second or fourth angle. In those quadrants the planes fold onto the same side, and the top and front views would be drawn on top of each other.

Many people find third angle easier to learn because the views sit where you would expect them. First angle is just as complete and was the older European convention; both are recognised by ISO 128.

How do you tell which projection a drawing uses?

Look for the projection symbol near the title block: a cone drawn side on, as a trapezoid, beside two concentric circles. In the third angle symbol the trapezoid is on the left with its small end pointing at the circles. In the first angle symbol the circles are on the left, next to the trapezoid’s wide end.

First angleThird angle
The cone is drawn the same way in both; the end view (the circles) moves.
  • Why the symbol works. The two circles are the cone seen from its small end. Third angle draws that end view on the small-end side, first angle on the opposite side, so the symbol is itself a two-view drawing in its own projection.
  • Words. Many title blocks print “third angle projection” or “first angle projection” beside or instead of the symbol.
  • Standard reference. A drawing that cites ASME Y14.5 or Y14.3 is almost always third angle. One that cites ISO standards may be either, so keep looking for the symbol.
  • Check a feature. Find a feature that shows on one side only, such as a step, a slot or an angled face, and follow it into the side and top views. Only one projection makes the views agree.

The symbol is a common place for errors on old or redrawn sheets, where it has been copied from another template. If the symbol and the feature check disagree, trust the feature check and ask whoever issued the drawing.

Which countries use first angle and third angle projection?

North America uses third angle; most of Europe, China and India use first angle; Japan and Australia mostly use third angle. Drawings travel with the work, though, so a US shop will see first angle prints from a European customer, and the symbol on each sheet is the only reliable guide.

WhereUsual projectionStandard
United States and CanadaThird angleASME Y14.3
JapanThird angleJIS
AustraliaThird angle preferredAS 1100
Most of EuropeFirst angleISO 128 and national standards
China and IndiaFirst angleNational standards based on ISO
United KingdomEither; check the symbolBS 8888

Companies follow their own drawing standard more than their country’s. A European subsidiary of a US company may draw in third angle, and an old British drawing may be in first angle even if newer sheets from the same firm are not.

What goes wrong when the projection is misread?

The part comes out mirrored, or with features on the wrong face. Reading first angle as third angle moves every side and top view to the opposite side of the part, so a hole, step or chamfer that belongs on the left is made on the right. Symmetric parts hide the error; parts with a handed feature do not.

  • Handed brackets and plates. A bracket with its flange on the wrong side will not bolt up to its mating part.
  • Holes on the wrong face. A blind hole or counterbore seen in a side view gets drilled from the opposite side.
  • Inspection passes. Each dimension can still be correct, so a part checked dimension by dimension may pass and only fail at assembly.
  • Old drawings with no symbol. Hand-drawn sheets often lack the symbol, and the company that made them may have used either system.

The guard is the same every time: check the symbol first, then confirm it with one handed feature before cutting. The guide to reading engineering drawings puts this check in its place in the full reading order, and the engineering drawing symbols guide covers the other marks on the sheet.

Does projection matter once the part is in 3D CAD?

No. A 3D model holds the part itself, not views of it, so it has no first or third angle. Projection matters only when the part is read from the 2D drawing. Once it is modelled correctly, any drawing made from the model can be set to either projection in the drawing settings.

That makes a STEP file the safest way to send a part across borders: the shop sees the shape directly, with no views to place. When all you have is the 2D drawing, the projection has to be read correctly once, when the model is made, and every quote and program after that uses the model.

Frequently asked questions

What is the difference between first angle and third angle projection?

They place the same views on opposite sides of the front view. In third angle projection the top view sits above the front view and the right side view to its right. In first angle projection the top view sits below the front view and the right side view to its left.

Which projection is used in the USA?

Third angle. ASME Y14.3, the US standard for views, uses third angle projection, and almost every drawing made in the US and Canada follows it. A US drawing in first angle should say so in the title block.

How do you identify a third angle projection symbol?

The symbol is a cone drawn side on, as a trapezoid, next to two concentric circles. In the third angle symbol the trapezoid is on the left and its small end points at the circles on the right. In the first angle symbol the circles are on the left, next to the wide end.

Why is there no second or fourth angle projection?

In the second and fourth quadrants the horizontal and vertical planes fold onto the same side, so the top view and the front view would be drawn on top of each other. Only the first and third quadrants give separate, readable views.

What happens if you read a first angle drawing as third angle?

Every side and top view lands on the wrong side of the part, so features shown in those views are made mirrored or on the wrong face. A symmetric part hides the mistake; a part with a step, slot or hole on one side does not.

Does a 3D model have a projection angle?

No. A 3D model or STEP file holds the part itself, not views of it, so first and third angle only matter on the 2D drawing. Once the part is modelled correctly, any drawing made from it can be set to either projection.

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