1. Construct two geodeters, l1 and l2, in Poincar´e’s upper half plane (PÖH) that do not intersect. Then draw a geodet m that intersects both l1 and l2 and where the alternate angles are different. As before, the alternate angles are on each side of m, but this time it is angles between tangents at the intersection points. You have thus shown that Euclid’s 29th theorem does not apply in HG. This is where he got use of his fifth axiom that does not apply in HG. Theorem 27, on the other hand, also applies in HG. It says that if the alternate angles are equal, then the two geodeters cannot intersect each other.
2. In this problem you need the equation of the circle. Given the surveyor, m, which passes through (- √ 1 2, √ 1 2) and (√ 1 2, √ 1 2) in PÖH and a point A = (0, 2). Find the geode (circular arc), n, through A that meets (tangents) m on the positive x-axis (i.e. the infinity in the model). The angle between the y-axis and the key to n at point A is called the parallel angle. For smaller angles, cut geodeters through the A geodesy m. Calculate the parallel angle.
3. Show that a circle c1 passing through point A and its inverted point B is orthogonal to circle c with the radius OP. See figure. The fact that two circles are orthogonal to each other means that the angle between the keys at the point of intersection is 90 degrees. We need this result in the next task.
Point B is inverse to point A in the circle C. Are the triangles OBP and OPA uniform? Are the angles OBP and APO equal? If the circle C1 is orthogonal to C, it means that the angle O1PO is right.
data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAl0AAAFQCAYAAACF9MtoAAAgAElEQVR4Ae29CbiN5f7/v8/3fK/v8D/T73ROgzkZQ
The post Geometry Questions first appeared on COMPLIANT PAPERS.
We always make sure that writers follow all your instructions precisely. You can choose your academic level or professional level, and we will assign a writer who has a respective degree.
We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.
If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document.
All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension.A 100% refund is guaranteed.
We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text.
Tutorpro support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.
Try it now!
How it works?
Follow these simple steps to get your paper done
Place your order
Fill in the order form and provide all details of your assignment.
Proceed with the payment
Choose the payment system that suits you most.
Receive the final file
Once your paper is ready, we will email it to you.
Tutorpro Homework Help Services
At Tutorpro, we have top rated masters and PhD writers who will help you tacke that homework and score A+ grade. Tutorpro services covers all levels of education : high school, college, university undergraduate, masters and PhD academic level.
Essays
No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.
Admissions
An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.
Editing
Tutorpro academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.
Revision
If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. This is free because we want you to be completely satisfied with the service offered.