Three curves arrive at every project
The client's aesthetic need. What the building should feel like. Usually carried into the first meeting as a photograph of somebody else's building, which is not the need itself but evidence of it, and is useful exactly as far as the architect can read the need behind the photo.
The trend. What the market and the moment are doing. For a commercial client this is not decoration; it is competition. If every showroom on the road has gone to glazing, a solid painted box is no longer honest simplicity, it is a commercial decision with a price.
The budget. Not a number but a shape: what the money is long on and short on. A budget that is long on structure and short on finishes produces a different building from the same total.
Three curves, and the design lands where they cross. Call it the tangent. It is the place where all three are simultaneously true, and it is the only place where a design can be built without disappointing somebody, usually the client, usually at the stage where disappointment costs money.
What the tangent method prevents
The architect's building. Designed at the architect's favourite curve, usually taste, ignoring the budget until the market reprimands it. Beautiful, unusable, and in the district, usually unsellable.
The flatterer's building. Designed at the client's photo, ignoring trend and budget, delivered as a lesser copy of somebody else's context. The client is briefly delighted and permanently disappointed.
The trend's building. Designed at the market curve, so faithfully that it expires with the trend. The district's commercial streets are full of buildings that were correct in one year and invisible five years later.
The tangent is deliberately harder to find than any of these. It is a genuine intersection, not a compromise average. Compromise averages the three curves into mediocrity; the tangent is where all three are strong at once.
A working example from the record
The record's clearest demonstration is a 2006 Delhi office fit-out, Kirloskar Brothers, where the aesthetic curve was subordinate to the sales floor it served, the trend curve was deliberately ignored, and the budget went entirely to flow: reception, workstations laid out for sales productivity, director buffered at the end. The tangent landed far from where a magazine would have put it, and the client got exactly the building his business needed, which was the assignment.
Compare it with a resort brief where the curves crossed in the opposite corner: atmosphere led, trend helped, budget followed the public spaces. Same method, different point of intersection, completely different building. That is the method working.
What to say in the first meeting
All three curves, out loud, with the numbers attached to the third. An architect who only wants to discuss the first one is selling taste. One who only wants the third is selling area. The one who starts mapping the intersection is designing your building.
The fuller statement of the position, with three more buildings on it, is in The brief is the design, and the record itself is the work archive.