Original AC Phenomena Figures

These are original scan-derived crops from Charles Proteus Steinmetz’s Theory and Calculation of Alternating Current Phenomena, Chapter V, “Symbolic Method.” They are promoted documentary assets with crop manifests and checksums in diagrams/original/theory-calculation-alternating-current-phenomena/figures/.

The crops are not decorative. They show the exact visual bridge Steinmetz builds from vector diagrams to rectangular components, then from rectangular components to the symbolic expression a + jb.

Connected Visual System

This page is the promoted symbolic-method crop set. The broader AC visual layer now lives in the generated source visual maps, which include the 1916 source plus the 1897 and 1900 edition candidates.

Open the AC source visual mapPromoted symbolic-method crops, 145 candidate figure references, guide diagrams, source text, and workbench routes.Open the 1897 visual mapEdition-specific figure candidates for the early AC Phenomena source.Open the 1900 visual mapEdition-specific figure candidates for comparison and extraction.Open the AC formula mapThe matching source-routed equation layer.

Promoted Crops

Fig. 21: Vector diagram of transformer

Printed page 30. Shows why a graphical vector diagram gives insight but becomes unsuitable for exact numerical work when magnitudes differ greatly.

Fig. 22: Rectangular components

Printed page 31. A sine-wave vector is resolved into horizontal and vertical components, a and b.

Original scan crop of Steinmetz Fig. 23 resultant rectangular components

Fig. 23: Resultant components

Printed page 32. Component addition turns parallelogram combination into arithmetic on rectangular projections.

Fig. 24: Quarter-period rotation

Printed page 33. Shows the geometric reason multiplication by j represents a 90 degree, one-quarter-period phase operation.

Modern Redraw Sheet

This redraw sheet is a reading aid for Figs. 22-24. It preserves the sequence Steinmetz builds: a vector is resolved into rectangular components, component addition becomes calculation, and multiplication by j represents a quarter-period rotation. It is not documentary evidence; the original scan crops above remain the source artifacts.

Source-Grounded Reading

Figure	Source Function	Modern Reading
Fig. 21	Shows the limits of exact calculation by graphical vector diagram.	Motivates analytic phasor calculation.
Fig. 22	Defines horizontal and vertical components of a sine-wave vector.	Maps magnitude and phase into rectangular components.
Fig. 23	Shows component addition for resultant sine waves.	Equivalent to adding complex phasors component by component.
Fig. 24	Shows phase rotation by one-quarter period.	Geometric interpretation of multiplication by `j`.

Manifest Paths

Asset	Manifest	Review State
Fig. 21	`diagrams/original/theory-calculation-alternating-current-phenomena/figures/fig-21-vector-diagram-transformer.png.json`	Promoted scan crop; source context located; needs second-pass bibliographic verification.
Fig. 22	`diagrams/original/theory-calculation-alternating-current-phenomena/figures/fig-22-rectangular-components.png.json`	Promoted scan crop; source context located; needs second-pass bibliographic verification.
Fig. 23	`diagrams/original/theory-calculation-alternating-current-phenomena/figures/fig-23-resultant-components.png.json`	Promoted scan crop; source context located; needs second-pass bibliographic verification.
Fig. 24	`diagrams/original/theory-calculation-alternating-current-phenomena/figures/fig-24-quarter-period-rotation.png.json`	Promoted scan crop; source context located; needs second-pass bibliographic verification.

Next Visual Work

Use the source visual maps above as the working extraction plan. The current AC backlog includes impedance and admittance geometry, transformer and machine diagrams, hysteresis curves, power measurement figures, and edition-comparison targets in the 1897 and 1900 scans.