This document outlines notes and lessons from a course on the fundamentals of mathematics for architecture. It discusses topics like triangles, circles, trigonometry, Thales' theorem, similar triangles, and their applications in problems involving heights, lengths, angles and surfaces. Examples of applying these geometric concepts to architectural designs are provided. Interactive tools are also referenced for student participation.

1. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
FUNDAMENTALS OF MATHEMATICS I_iCourse

2. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE

3. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
PREVIOUSLY ON MATHS 1...

4. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
QUICK TRIANGLES REVIEW
CIRCLES AND TRIANGLES RELATIONSHIPS
EXAMPLES

5. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
IMPORTANT PROPERTY FOR ALL THE TRIANGLES: Addition of the three angles equals 180

6. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE KEY IS FINDING A RIGHT TRIANGLE... so we can relate its sides using the PYTHAGORAS THEOREM

7. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE KEY IS FINDING A RIGHT TRIANGLE .... and ITS TRIGONOMETRIC RATIOS

8. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE MAGIC OF THE UNIT CIRCLE

9. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
WE CAN PROVE THESE RELATIONSHIPS JUST USING PYTHAGORAS THEOREM OR THE TRIG RATIOS

10. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
NOT ALL THE TRIANGLES ARE RIGHT TRIANGLES OR 30 – 60 -90 TRIANGLES OR ....
DO NOT ASSUME WHAT YOU CANNOT BE COMPLETELY SURE OF!!!!!!!!!!!!!!!!!!!!

11. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
BE SMART....
DIVIDE AND WIN
DIVIDE AND FIND RIGHT TRIANGLES

12. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
SIMILAR TRIANGLES EQUAL ANGLES
CONGRUENT TRIANGLES EQUAL ANGLES AND EQUAL SIDES
SIMILAR TRIANGLES SIDES ARE PROPORTIONAL

13. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THALES THEOREM (one of them)
SIMILAR TRIANGLES EQUAL ANGLES

14. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
DETERMINE THE HEIGHT OF THE PYRAMID
230 m 2 m
Shadow length 4,25 m
Shadow length 195 m
REMEMBER! SUN RAYS ARE PERPENDICULAR

15. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THALES THEOREM (the second one)
TRIANGLES INSCRIBED IN A CIRCUMFERENCE

16. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
MORE ABOUT CIRCUMFERENCES AND CIRCLES

17. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
HERZOG AND DE MEURON. MIAMI 2013

18. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
HERZOG AND DE MEURON. MIAMI 2013

19. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
VALUE OF V AND W?

20. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
Today’s words?
https://www.menti.com/8cwme7e7ux
https://www.mentimeter.com/app

21. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE

22. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE

23. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
Height 146 m Side length 230 m ¿Surface?

24. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE

25. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE

26. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE

27. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE

28. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE

29. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE