This document outlines lecture notes for a course on the fundamentals of mathematics in architecture. It covers topics such as types of triangles, triangle properties, trigonometric ratios, Thales' theorem, and using trigonometry to solve problems related to right triangles and geometry found in architectural structures and designs. Examples include determining lengths, heights, angles, and surface areas by applying concepts like the Pythagorean theorem, trigonometric functions, and properties of similar triangles.

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
TYPES OF TRIANGLES
TRIANGLES PROPERTIES
TRIGONOMETRIC RATIOS
THALES THEOREM
EXAMPLES

4. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
https://www.youtube.com/watch?v=mLeNaZcy-hE

5. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
TRIANGLES PROPERTIES
Addition of angles 180
Complementary angles
Suplemenary angles
IMPORTANT PROPERTY FOR ALL THE TRIANGLES: Addition of angles 180
COMPLEMENTARY ANGLES?
SUPMENTARY ANGLES?

6. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
Addition of angles 180
Complementary angles
IMPORTANT PROPERTY FOR ALL THE TRIANGLES: Addition of angles 180
COMPLEMENTARY ANGLES?
SUPMENTARY ANGLES?

7. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE KEY IS FINDING A RIGHT TRIANGLE
RELATIONSHIP BETWEEN SIDES LENGTH?

8. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE KEY IS FINDING A RIGHT TRIANGLE
PYTHAGORAS THEOREM

9. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE KEY IS FINDING A RIGHT TRIANGLE
RELATIONSHIP BETWEEN ANGLES AND SIDES?

10. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE KEY IS FINDING A RIGHT TRIANGLE
RELATIONSHIP BETWEEN ANGLES AND SIDES?

11. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THE KEY IS FINDING A RIGHT TRIANGLE
RELATIONSHIP BETWEEN ANGLES AND SIDES?
sin a
cos a
tag a
sin b
cos b
tag b

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

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

14. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
INTERESTING RIGHT TRIANGLES

15. 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!!!!!!!!!!!!!!!!!!!!

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

17. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
VALUE OF h KNOWING THE VALUE OF L

18. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
DETERMINE THE LENGTH OF SIDE C

19. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
TWO CONGRUENT TRIANGLES = EQUAL ANGLES

20. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THALES THEOREM?

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

22. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
DETERMINE THE VALUE OF X

23. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
DETERMINE THE HEIGHT OF THE PYRAMID

24. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
HOW CAN YOU PROOF THESE RATIOS?

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

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

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

28. 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

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

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

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

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

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