Your Perfect Assignment is Just a Click Away

We Write Custom Academic Papers

100% Original, Plagiarism Free, Customized to your instructions!

glass
pen
clip
papers
heaphones

Sphere Geometry Exercises

Sphere Geometry Exercises

Description

  1. a) Give a list of steps with a carefully labeled diagram on how to use a compass and straightedge to find the bisector of a line segment on the plane. Your list of steps should include a proof that the construction process does in fact bisect the line segment. b) Does your method work equally well on the sphere? Explain why or why not.
  2. a) Give a list of steps with a carefully labeled diagram on how to use a compass and straightedge to find the bisector of any planar angle. Your list of steps should include a proof that the construction process does in fact bisect the angle. b) Does your method work equally well on the sphere? Explain why or why not.
  3. Given a small triangle and its three interior angles, derive the formula for the area of a small triangle. Include in your derivation the following: A brief explanation for how you thought about adding up the various areas to get the initial formula A brief explanation for how to conceptualize the derivation of the formula for the area of a lune Appropriate illustrations to help clarify your explanations and derivations
  4. Use your formula for the area of a small triangle on sphere to argue that the sum of the interior angles for a triangle on the sphere must be greater than 180 degrees and cannot equal 180.
  5. Your derivation in number 3 was for a small triangle. Does this formula also work for the “shark fin” triangle? How about the “anti-triangle”? If yes, show how it applies. If no, explain why not.

Our Service Charter

1. Professional & Expert Writers: Writing Expert only hires the best. Our writers are specially selected and recruited, after which they undergo further training to perfect their skills for specialization purposes. Moreover, our writers are holders of masters and Ph.D. degrees. They have impressive academic records, besides being native English speakers.

2. Top Quality Papers: Our customers are always guaranteed papers that exceed their expectations. All our writers have +5 years of experience. This implies that all papers are written by individuals who are experts in their fields. In addition, the quality team reviews all the papers before sending them to the customers.

3. Plagiarism-Free Papers: All papers provided by Writing Expert are written from scratch. Appropriate referencing and citation of key information are followed. Plagiarism checkers are used by the Quality assurance team and our editors just to double-check that there are no instances of plagiarism.

4. Timely Delivery: Time wasted is equivalent to a failed dedication and commitment. Writing Expert is known for timely delivery of any pending customer orders. Customers are well informed of the progress of their papers to ensure they keep track of what the writer is providing before the final draft is sent for grading.

5. Affordable Prices: Our prices are fairly structured to fit all groups. Any customer willing to place their assignments with us can do so at very affordable prices. In addition, our customers enjoy regular discounts and bonuses.

6. 24/7 Customer Support: At Writing Expert, we have put in place a team of experts who answer all customer inquiries promptly. The best part is the ever-availability of the team. Customers can make inquiries anytime.

Our Service Charter

1. Professional & Expert Writers: Writing Expert only hires the best. Our writers are specially selected and recruited, after which they undergo further training to perfect their skills for specialization purposes. Moreover, our writers are holders of masters and Ph.D. degrees. They have impressive academic records, besides being native English speakers.

2. Top Quality Papers: Our customers are always guaranteed papers that exceed their expectations. All our writers have +5 years of experience. This implies that all papers are written by individuals who are experts in their fields. In addition, the quality team reviews all the papers before sending them to the customers.

3. Plagiarism-Free Papers: All papers provided by Writing Expert are written from scratch. Appropriate referencing and citation of key information are followed. Plagiarism checkers are used by the Quality assurance team and our editors just to double-check that there are no instances of plagiarism.

4. Timely Delivery: Time wasted is equivalent to a failed dedication and commitment. Writing Expert is known for timely delivery of any pending customer orders. Customers are well informed of the progress of their papers to ensure they keep track of what the writer is providing before the final draft is sent for grading.

5. Affordable Prices: Our prices are fairly structured to fit all groups. Any customer willing to place their assignments with us can do so at very affordable prices. In addition, our customers enjoy regular discounts and bonuses.

6. 24/7 Customer Support: At Writing Expert, we have put in place a team of experts who answer all customer inquiries promptly. The best part is the ever-availability of the team. Customers can make inquiries anytime.