Concept

Centric point — where it appears

Alberti's name for the point on the horizon directly opposite the eye, where the orthogonals of a construction meet. It is the principal point under another name, and the distance from it to the distance point is the viewing distance the construction silently chose.

Named by 4 essays across one field — each of them below, with the objects they name alongside it.

horizonequal stepshalve thetaper byworst error, in metres of depthequal steps to the horizon14.72 mhalve the remaining gap228.13 mtaper by eye350.80 mcorrect from 26 cm, at 160 mm wide34° across

The measuring point, and the step the method leaves out

Laying out equal depths correctly needs a second vanishing point that most treatments never introduce — the one belonging to the diagonals. With it the construction lands on the projected divisions to eighty femtopixels. Without it, depth is placed by judgement and the drawing depicts something nobody chose.

construction · Measuring
the panelhorizon — the centric point's heightthe section — the eye, the panel, the ground470 px — the viewing distancethree routes agree to 6e-14 pxsection, distance point, and a pinhole camera

Alberti draws a pavement, and chooses where the reader stands

The costruzione legittima of 1435 is exact. Run as a construction — with drawn rays and drawn intersections rather than the formula it turns out to satisfy — it agrees with a pinhole camera to six parts in a hundred trillion of a pixel. And it has one free parameter that the recipe never names, which is the distance from the eye to the panel.

construction · Alberti
centric pointdistance point, 12 px off the sheet →430 pxcorrect from 10 cm at 160 mm wide47° across

The distance point is the viewing distance, drawn

There is exactly one place in the whole classical apparatus where the distance from the eye to the picture appears as a length on the page, and it is the offset from the centric point to the distance point. Everything this site exists to compute was drawn in the fifteenth century, on the horizon, and nobody said what it was.

construction · Alberti
the picture plane, in planto the observer, 208 px further downcorrect from 12 cm, at 160 mm widestation 520 px

Two rules for one pavement

Vignola set out two rules for laying a tiled floor and asserted that they agree. Executed from the same ground line and the same free parameter they agree to 2e-13 px; executed from the numbers their own wordings invite they part by 24 px. The quantity that separates them is the distance the reader has to stand at, and neither rule names it.

construction · Tworules

Named alongside it

The objects these essays reach for when they reach for this one.

Viewing distancecostruzione legittimaFocal lengthHorizonTransversalDistance pointGround lineMeasuring pointStation pointVanishing pointbraccioDiagonal point

All concepts