
Basic Geometry & Drafting
The instruments, the lettering and the coded grammar of a sheet.
A technical drawing is built, not sketched by eye. Every line is constructed against a reference — the board edge, a T-square, a mini-drafter, a set-square. This unit is the discipline of the drawing office: the instruments, single-stroke lettering, sheet layout, and the coded grammar of line conventions where a thick line, a dashed line and a chain line each mean something. It is the precise counterpart to the observational Visual Arts course.
Learning objectives
By the end of this lesson, you will be able to — mapped to the course outcomes for Interior Graphics I:
Identify the drafting instruments and the logic of constructing lines against references.
Letter in single-stroke upright Gothic between guidelines at standard heights.
Lay out a sheet — A-series size, margins and title block — and read the projection symbol.
Read and draw the standard line conventions and their weight ratio, and basic constructions.
The instruments & the discipline
The apparatus exists so that no line is drawn by eye — and the same discipline drives the pure compass-and-set-square constructions underneath all later projection.[1, 4]
Constructed, not freehand
The board gives one true working edge. A T-SQUARE references that edge for horizontals, or a MINI-DRAFTER (drafting machine) carries two calibrated scales at a fixed 90° and replaces the T-square, set-squares, protractor and scale in one head. SET-SQUARES (45°, and 30°–60°) ride the blade for verticals and standard angles — combined they give every 15° increment. The teaching point: lines are constructed against references, never drawn by eye.[1]
Lettering, layout & line conventions
Single-stroke lettering, the ISO sheet and its title block, and the line conventions that carry meaning by type and weight.[1, 2, 3]
Single-stroke upright Gothic
'Single-stroke' means each stroke is one pass of the pencil at uniform width — not built up like calligraphy. The standard is UPPERCASE, vertical (upright), Gothic (sans-serif), uniform: consistency and legibility over personal style, always drawn between light guidelines (at least a cap line and a base line). Nominal heights follow a preferred series — 2.5, 3.5, 5, 7, 10, 14, 20 mm; notes and dimensions ~2.5–3.5 mm, titles larger. Word spacing ≈ one letter 'O'; line spacing generous so dimensions do not collide.[1, 2]
Try it — the line-convention explorer
Pick a line type to see it drawn at its true weight and dash, and what it means on a drawing.
Line-convention explorer · read the code
Continuous thick
- Means
- Visible outlines and object edges
- Weight
- Thick — the widest line on the sheet.
Every edge of the object you can actually see from this view.
Line type and weight are a code — a thick line means “visible edge”, not merely “darker”.
At a glance
| Aspect | One side | The other |
|---|---|---|
| How a line is made | Myth: drawn by eye | Reality: constructed against a reference edge |
| Lettering | Myth: any neat style is fine | Reality: single-stroke, upright, uppercase Gothic |
| Line weight | Myth: thicker = just darker | Reality: weight is a semantic code |
| Construction lines | Myth: as dark as object lines | Reality: very light (2H–4H), left on the sheet |
| Title block & border | Myth: freehand, anywhere | Reality: ruled; block bottom-right, margin left |
Key terms
A drafting machine with two scales fixed at 90° — replaces T-square, set-squares, protractor and scale.
Each stroke is one uniform-width pass — upright uppercase Gothic, drawn between guidelines.
ISO sheets, each half the area of the one above: A0 (1 m²) down to A4 (210 × 297 mm).
The bottom-right box carrying title, scale, sheet number, date and the projection symbol.
The coded grammar of line type and weight — visible, hidden, centre, dimension, cutting, break.
An arc drawn tangent to two lines (or a line and a circle) by compass construction.
Drafting plate
On one A3 sheet: (a) letter the single-stroke upright Gothic alphabet A–Z and 0–9 at 5 mm then 3.5 mm between guidelines; (b) draw and label each standard line type at its correct relative weight; and (c) construct, by compass and set-square only, a bisected angle, a regular hexagon in a circle, and a fillet tangent to two lines. Add a ruled border and a title block with the projection-symbol box.
Self-assessment
1. The standard for technical lettering is —
2. A dashed line on a drawing means —
3. An A0 sheet has an area of —
Recap
References & further reading
- [1]N.D. Bhatt & V.M. Panchal, Engineering Drawing, Charotar Publishing (lettering, lines, instruments, constructions).
- [2]BIS SP 46: Engineering Drawing Practice for Schools and Colleges — Indian line, lettering and layout conventions (IS 9609 lettering, IS 10714 lines, IS 10711 sheet sizes; confirm current BIS number).
- [3]Francis D.K. Ching, Architectural Graphics, Wiley (sheet composition, line weights, drafting fundamentals).
- [4]I.H. Morris, Geometrical Drawing for Art Students (bisections, polygons, tangents, loci).
Further reading
- N.D. Bhatt & V.M. Panchal — Engineering Drawing.
- Francis D.K. Ching — Architectural Graphics.
- BIS SP 46 — Engineering Drawing Practice for Schools and Colleges.
Sources gathered and fact-checked June 2026. Published values vary by source, sample and method — treat as indicative and confirm against the cited standard before structural use.
The author
Amogh N P
Architect, interior designer, and creative polymath. Studio Matrx began in his notebooks — his vision of design made honest, useful, and open to everyone. Its Academy is written and taught in his memory, and free, forever.
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