GEOMETRY HANDBOOK

How can we help?

Find an entry

Search accepts the name of a theorem, a formula, a figure or a symbol. Above the list you can switch between plane and solid geometry, pick a topic, choose a type of entry (theorems, criteria, definitions, formulas, constructions and more), show only your starred entries, or only the entries that have a calculator. Reset clears the search and every filter.

Use the interactive drawings

Drag the marked points, move the sliders to change sizes, and rotate solid figures with your finger. The readings under the drawing update as you go, and the property the entry describes keeps holding. Where a drawing is built in steps, use the arrows to go forward and back. The reset button returns the drawing to its starting position.

Read a proof

Theorems and criteria come with a proof, formulas with a derivation, and constructions with the reasoning that makes them work. Each starts with the key idea in one sentence and then gives the steps with their reasons. “When it applies” and “Common mistakes” show where a statement stops working.

Use a calculator

Open an entry with a calculator and choose the value you want to find. Enter the values you know: lengths in any units, as long as they are all the same, and angles in degrees. The app solves the entry’s formula for the value you chose. If the numbers cannot form the figure, it tells you that there is no solution; the worked example in the same entry shows the full reasoning.

Check yourself and practice

Every entry ends with two questions, each with an explanation. Practice, on the catalog and in the overflow menu, builds rounds of 10 or 20 questions from the topics you choose, counts your streak of correct answers, keeps your best score on the device and lists the topics worth revisiting.

Build a cheat sheet

Star an entry to add it to your favorites, then open the cheat sheet from the toolbar. It lists statements and formulas without the explanations, for all of geometry, for plane or solid geometry, or only for your favorites.

Tables and the problem-solving guide

The overflow menu holds the exact trigonometric values for angles from 0° to 180° with memory tips and useful identities, the table of notation, and a step-by-step guide to solving geometry problems. The dark theme switch is there too.

Change the language

Open the overflow menu, then About, and choose the language. English, Spanish, Arabic, French, Hindi, Thai and Russian are available offline. In Arabic the interface reads right to left while formulas and drawings keep their usual direction.

Report a problem or a correction

Email ultim8digital@gmail.com with the app version (shown in About), your device and operating-system version, and what you did before the problem appeared. For a mathematical or translation correction, name the entry and the exact line, and add a reliable reference if you have one. Please do not include passwords or other sensitive information.

About the content

The handbook follows standard school treatments of plane and solid geometry, with a few classic results beyond the basic course. It is a study aid and a quick reference, not an official textbook of any school system. Translations are still being refined, and corrections are welcome.

Publisher: Oleg Korunov