Euclid Lab vs Geometry Handbook

Explore the 48 propositions of Book I of Euclid’s Elements through reading, construction and proof practice. Euclid Lab separates proposition reading, straightedge-and-compass work and reasoning so you can focus on one activity at a time. Arrange supplied proof blocks to connect premises to conclusions. Scored exercises use semantic checks of geometric relationships and logical dependencies, not the appearance of a drawing or AI grading. Progressive hints and complete solutions, shown on request, help when you get stuck. I.7 currently offers unscored reading, exploration and notes. Freehand notes are also unscored and are not automatically verified as correct proofs. Foundations and I.1–I.12 are free. I.13–I.24 and I.25–I.48 are separate, one-time in-app purchases. Buying one pack does not unlock the other. No subscription is required. Learning progress and notes are stored locally on your device. Learner profiles are not Apple Accounts, and no Euclid Lab account registration is required. Restore Purchases restores eligible content access; it does not synchronize learning progress.

Geometry Handbook is a geometry workbench for school: build constructions with compass and straightedge, solve triangles and solids with a to-scale drawing, and look up any theorem together with its proof. Everything works offline. CONSTRUCTION LAB A dynamic geometry board. Place points, draw segments, lines, rays and circles, use the compass, construct perpendiculars, parallels, midpoints, angle bisectors, perpendicular bisectors, intersections and polygons. Drag any free point and everything built from it follows. Lengths, angles and areas are measured live on the drawing. Undo, redo, zoom and pan. 13 CLASSIC CONSTRUCTIONS, STEP BY STEP The midpoint of a segment, the perpendicular bisector, the angle bisector, perpendiculars and a parallel line, copying an angle, a triangle from three sides, the circumscribed and inscribed circles, the Euler line, tangents from a point and the regular hexagon. Every step is explained, and at any step you can drag the given points to see that the construction still works. SOLVER WITH STEPS Solve a triangle from any three valid elements: SSS, SAS, ASA, AAS and SSA, including the ambiguous case with two solutions. Right triangles, regular polygons, circles, arcs, sectors and segments, and the volume and surface area of cubes, boxes, cylinders, cones, spheres, pyramids and frustums. Every answer comes with a drawing to scale, and impossible data gets a clear explanation of why. With Pro, every value is derived step by step: the formula, the numbers substituted and the result. THE HANDBOOK 184 entries in 21 topics of plane and solid geometry. Each has a precise statement, a drawing you can drag or turn in 3D, a worked example and the common mistakes. 152 proofs and derivations, 144 calculators, 368 check-yourself questions, a cheat sheet, exact trigonometric values, notation and a problem-solving guide. AI TUTOR ON YOUR DEVICE Ask about a theorem or a problem in your own words, or open the tutor from an article to ask about that topic. Scan a problem with the camera or pick a photo. The tutor uses Apple Intelligence right on the device: questions and photos are not sent anywhere. Answers are generated by AI, are labeled as such and can contain mistakes. Requires iOS 26 or later on a device that supports Apple Intelligence, with Apple Intelligence turned on. FREE AND PRO Free: the whole handbook with drawings, proofs, calculators and the cheat sheet; Solver answers with drawings; three guided constructions; three practice rounds a day. Geometry Pro is an auto-renewing subscription, monthly or yearly, with a 1-week free trial for new subscribers: the freeform construction board and all 13 guided constructions, step-by-step Solver solutions, the AI tutor and problem scanner, and unlimited practice. Payment is charged to your Apple ID at confirmation of purchase or at the end of the free trial. The subscription renews automatically unless cancelled at least 24 hours before the end of the current period; manage or cancel it in your Apple ID subscription settings. A Lifetime purchase unlocks the same Pro features with one payment and no automatic renewal. Restore purchases with the same App Store account. 20 LANGUAGES The interface and handbook are available in 20 languages, offline. No account, no ads, no tracking. Light and dark themes, iPhone and iPad. Terms of Use (EULA): https://www.apple.com/legal/internet-services/itunes/dev/stdeula/ Privacy Policy: https://ultim8digital.github.io/geometry/privacy.html