F.54 HP-35s Triangle Program and Coordinate Scripts — Folios

Archival manuscript scans and diplomatic transcriptions from seelig’s notebooks for F.54 (HP-35s Triangle Program and Coordinate Scripts) (SeeligNotebooks).

Folio 0347 (Page 1 of 2): HP-35s [T] [Triangle] Program Specification (FWS Sept. 10, 2014 / May 7, 2015)

[Folio 0347]
../../_images/0347.jpg

Folio 0347 (original scan 0347.jpg) from resources/seelig/54_scripts.

Diplomatic Mathematical & Geometric Transcription

Diplomatic Transcription — Folio 0347 (0347.jpg, Sheet 1 of 2):

Defines the BARY 2 CAR (\(P = MU+IV, Q = JV\)) and CAR 2 BARY (\(V = Q/J, U = (P-IV)/M, T = 1-(U+V)\)) routines for \(A=(0,0), B=(M,0), C=(I,J)\).

\[\begin{split}\text{BARY 2 CAR:}\quad \begin{bmatrix} P \\ Q \end{bmatrix} = \begin{bmatrix} M & I \\ 0 & J \end{bmatrix} \begin{bmatrix} U \\ V \end{bmatrix}, \qquad T + U + V = 1\end{split}\]

Editorial & Symbolic Notes

Archival scan 0347.jpg from Fred W. Seelig’s notebook dossier on F.54 HP-35s Triangle Program and Coordinate Scripts (Page 1 of 2). Companion OpenDocument worksheet(s): Barycentric, 5-6-7 A,B,C. Classical Euclidean foundations: VI.2. Kimberling Encyclopedia of Triangle Centers loci: X(1) — Incenter, X(2) — Centroid, X(3) — Circumcenter, X(4) — Orthocenter.

Folio 0348 (Page 2 of 2): HP-35s Register Map A–Z & (5, 6, 7) Test Case

[Folio 0348]
../../_images/0348.jpg

Folio 0348 (original scan 0348.jpg) from resources/seelig/54_scripts.

Diplomatic Mathematical & Geometric Transcription

Diplomatic Transcription — Folio 0348 (0348.jpg, Sheet 2 of 2):

Documents the allocation of calculator registers A through Z and verifies the forward and inverse routines on the \((5,6,7)\) triangle.

\[\text{CAR 2 BARY:}\quad V = \frac{Q}{J}, \qquad U = \frac{P - I V}{M}, \qquad T = 1 - (U + V)\]

Editorial & Symbolic Notes

Archival scan 0348.jpg from Fred W. Seelig’s notebook dossier on F.54 HP-35s Triangle Program and Coordinate Scripts (Page 2 of 2). Companion OpenDocument worksheet(s): Barycentric, 5-6-7 A,B,C. Classical Euclidean foundations: VI.2. Kimberling Encyclopedia of Triangle Centers loci: X(1) — Incenter, X(2) — Centroid, X(3) — Circumcenter, X(4) — Orthocenter.