<transcript><audio_22> Bom, a gente fez agora o exercício de determinar uma perpendicular passando por um ponto fora da reta, mas isso é, na verdade, um caso particular.</transcript><caption><image_23>The image shows a man standing in front of a green chalkboard. He is wearing a blue t-shirt and glasses and appears to be in a classroom or lecture hall. The man is gesturing with his right hand as if he is explaining something. On the chalkboard behind him, there is text written in Spanish that translates to "How to write a mathematical equation". The text is written in both English and Spanish.</caption><transcript><audio_24> eu ter um ponto por onde a reta passa e a direção dessa reta, que é a direção perpendicular à reta dada. Então agora eu vou ver o que aconteceria se esse ponto pertencesse à reta. Então eu tirei aqui essa parte do ponto fora dela,</transcript><transcript><audio_25> construção de construção 4 linha. Então, agora eu tenho um ponto da reta R, um ponto da reta R, e eu quero construir uma perpendicular passando por P, uma perpendicular à reta R, e passando</transcript><caption><image_26>The image shows a man standing in front of a green chalkboard. He is wearing a blue t-shirt and appears to be a teacher or a student. The chalkboard is blank, with some text written on it in white chalk. The text on the chalkboard reads "Contições Geometráticos Légumes" which translates to "Learn Geometry" in English. There is also a small wooden frame on the right side of the image. The man is looking down at the board with a serious expression on his face.</caption><transcript><audio_27> Na verdade, a gente não vai ter muito trabalho, não. Basta eu achar o compasso. Aqui. Tá aqui o meu compasso. E agora eu faço uma abertura qualquer no computador.</transcript><video><caption><image_28>The image shows a man standing in front of a green chalkboard. He is wearing a blue t-shirt and appears to be a teacher or a student. The chalkboard is black and has white text written on it in Spanish. The text reads "Composições géométricos lámparas" which translates to "How to write a sentence in English" in English. The man is standing with his back to the camera and is looking down at the chalkboard with a serious expression on his face. There is a wooden easel on the right side of the image.</caption><caption><image_29>The image shows a man standing in front of a green chalkboard. He is wearing a blue t-shirt and appears to be a teacher or a student. On the chalkboard, there is a white chalk drawing of a mathematical equation written in French. The equation is written in a cursive font and is centered on the board. The man is looking down at the equation with a focused expression on his face. The background of the image is blurred, but it seems like the man is in a classroom or a classroom setting.</caption><caption><image_30>The image shows a man standing in front of a green chalkboard. He is wearing a blue t-shirt and glasses and is holding a pencil in his right hand. On the chalkboard, there is a mathematical equation written in white chalk. The equation is written in Spanish and appears to be a mathematical problem. The man is looking at the equation with a serious expression on his face.</caption><caption><image_31>The image shows a man standing in front of a green chalkboard. He is wearing a blue t-shirt and glasses and is holding a wooden stick in his right hand. He appears to be giving a presentation or lecture. On the chalkboard behind him, there is text written in white chalk. The text reads "Construções Geometrásticas Légendes" which translates to "Geometry and Geometry" in English. There is also a small wooden structure on the right side of the image.</caption></video><transcript><audio_32> sobre o ponto P, eu marco dois pontos da reta. Na verdade, eu tracei essa semicircunferência aqui, pelo menos.</transcript> would like to have achieved so it 's good we have now done the exercise of calculating determining a perpendicular passing through a perpendicular to a straight line passing through a point outside the straight line But this is actually a particular case, right? Because it would be enough for me to have a point through which the straight line passes and the direction of that straight line, which is the direction perpendicular to the given straight line.  now and I'm going to see what would happen if this point belonged to the straight line. So I removed this part of the e point outside of it and I'm calling this construction the four line construction, ok so now I have a r is a point  of the line r and I want to construct a perpendicular passing through P a perpendicular to the straight line r passing through P okay And then, in fact, we won't have much work, it's not enough for me to find the compass here, it's here, my compass and now I do it  any opening of the compass has the dry tip on the points on the straight line, okay, in fact, I traced this semicircle here, at least
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