⚜ Principia Orthogona · Book XXVBook XXII · language companion · Book XXIV · linear algebra
Book XXV · opened 2026-10-31 · draft

Ponte / Bridge

A guide for anyone who wants to live and study in Brazil: the language, the mathematics, the paperwork, and the first year. Written to be saved once and shared hand to hand, with no connection needed to read it.

Um guia para quem quer morar e estudar no Brasil: a língua, a matemática, os documentos e o primeiro ano. Feito para ser baixado uma vez e passado de mão em mão, sem precisar de internet para ler.

Preface / Prefácio

Whoever you are, you are welcome to come to Brazil, where education and health are your rights. That is where this book starts. Its first readers are Tibetans in exile in India and Nepal, who share the same questions: how to learn Portuguese, how to prepare for university study, and how to take the first steps. Its pages are meant to help anyone with the same questions, from any country.

Quem quer que você seja, você é bem-vindo ao Brasil, onde educação e saúde são direitos seus. É daqui que este livro parte. Seus primeiros leitores são tibetanos no exílio na Índia e no Nepal, que têm as mesmas perguntas: como aprender português, como se preparar para o estudo universitário e como dar os primeiros passos. As páginas servem a qualquer pessoa com as mesmas perguntas, de qualquer país.

We welcome you to come, to study alongside our children, and to help us build our country. This book is that invitation, with the practical steps behind it.

Convidamos você a vir, a estudar ao lado dos nossos filhos e a nos ajudar a construir o nosso país. Este livro é esse convite, com os passos práticos por trás dele.

How claims are marked / Como as afirmações são marcadas

sourced a source is given and was read. to confirm the statement is the author’s or comes from a secondary source, and should be checked against the law or an official office before anyone relies on it. A tag is a to-do for the next edition, not a doubt about the welcome.

fonte há fonte e ela foi lida. a confirmar a afirmação é do autor ou de fonte secundária, e deve ser conferida na lei ou em órgão oficial antes de alguém depender dela.

Contents / Sumário

1Why Brazil / Por que o BrasilThe welcome, and the rights and routes it rests on, each marked with its source.draft
2Languages side by side / Línguas lado a ladoEnglish, Portuguese, Nepali, Tibetan, Dzongkha, Tupi–Guarani and Sanskrit taught together: counting, word order, borrowed words, the grammar of Pāṇini, then the clinic and the classroom. The Dzongkha column is left for students to find out.draft
3The study floor / A base dos estudosArithmetic and algebra readiness with self-checks that run offline (see Book XXIV).planned
4Mathematics in two languages / Matemática em dois idiomasA checked glossary of the terms a first-year course uses.planned
5Getting in / Como entrarAdmission, documents, the student visa, residence.planned
6Living and studying / Viver e estudarHealth care, schools for children, benefits, housing, community.planned
7Staying connected / Manter os laçosTies with the home community; the teacher-facing side.planned
TTranslations and new languages / Traduções e novas línguasWhere translated chapters and pages written in readers’ own languages are filed and credited.open

Chapter 2 sets English, Portuguese, Nepali, Tibetan, Dzongkha and Tupi–Guarani side by side. Cells a native speaker has not checked are marked. The Portuguese here was drafted by Claude and has had no native review.

How this connects

Book XXII covers the names and the politics of learning an added language. Book XXIV is the linear algebra a graduate student needs; its early chapters are a model for the self-checking exercises in Chapter 3.