Steps: 1. Using the compass, draw two concentric circles. Maximize the space in the bond paper. An inch between the two circles is ideal. (You may increase or decrease this distance) 2. Using the ruler, draw a diameter on the larger circle. Label the endpoint 0 and 180. 3. Using the protractor, subdivide the circles into equal pies (preferably 15). Label these as 15, 30, ., 330, 345. 4. Using the inner circle, place the edge of the ruler connecting the intersection of 15 and 165. Draw horizontal lines from the inner circle outward to the larger circle. Do the same with 30 and 150, 45 and 135, 60 and 120, 75 and 105. Do the same on the other side; 195 and 345, and so on. 5. Using the larger circle, place the edge of the ruler connecting 75 and 285. Draw a vertical line until it intersects the first horizontal line. Do the same on the other side. Notice that a right triangle is formed. Mark the right angle E; on the other side, mark the right angle S. 6. Using the larger circle, place the edge of the ruler connecting 60 and 300. Draw a vertical line until it intersects the second horizontal line. Do the same on the other side. Notice that a right triangle is formed. Mark the right angle D; on the other side, mark the right angle T. 7. Using the larger circle, place the edge of the ruler connecting 45 and 315. Draw a vertical line until it intersects the third horizontal line. Do the same on the other side. Notice that a right triangle is formed. Mark the right angle C; on the other side, mark the right angle U. 8. Using the larger circle, place the edge of the ruler connecting 30 and 330. Draw a vertical line until it intersects the fourth horizontal line. Do the same on the other side. Notice that a right triangle is formed. Mark the right angle B; on the other side, mark the right angle V. 9. Using the larger circle, place the edge of the ruler connecting 15 and 345. Draw a vertical line until it intersects the fifth horizontal line. Do the same on the other side. Notice that a right triangle is formed. Mark the right angle A; on the other side, mark the right angle W. 10. Mark X the 0 point on the outer circle, F on the inner circle along 90, and R in the inner circle along 270. 11. Connect (using a French curve or simply freehand) the points (smooth curve), and you have a semi- ellipse. 12. Complete the ellipse by doing steps 5-11 (make the necessary adjustments on the numbers and letters) Note: Do NOT erase any construction line you made

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Steps:
1. Using the compass, draw two concentric circles. Maximize the space in the bond paper. An inch between
the two circles is ideal. (You may increase or decrease this distance)
2. Using the ruler, draw a diameter on the larger circle. Label the endpoint 0 and 180.
3. Using the protractor, subdivide the circles into equal pies (preferably 15°). Label these as 15, 30, .., 330,
345.
4. Using the inner circle, place the edge of the ruler connecting the intersection of 15 and 165. Draw
horizontal lines from the inner circle outward to the larger circle. Do the same with 30 and 150, 45 and
135, 60 and 120, 75 and 105. Do the same on the other side; 195 and 345, and so on.
5. Using the larger circle, place the edge of the ruler connecting 75 and 285. Draw a vertical line until it
intersects the first horizontal line. Do the same on the other side. Notice that a right triangle is formed.
Mark the right angle E; on the other side, mark the right angle S.
6. Using the larger circle, place the edge of the ruler connecting 60 and 300. Draw a vertical line until it
intersects the second horizontal line. Do the same on the other side. Notice that a right triangle is
formed. Mark the right angle D; on the other side, mark the right angle T.
7. Using the larger circle, place the edge of the ruler connecting 45 and 315. Draw a vertical line until it
intersects the third horizontal line. Do the same on the other side. Notice that a right triangle is formed.
Mark the right angle C; on the other side, mark the right angle U.
8. Using the larger circle, place the edge of the ruler connecting 30 and 330. Draw a vertical line until it
intersects the fourth horizontal line. Do the same on the other side. Notice that a right triangle is formed.
Mark the right angle B; on the other side, mark the right angle V.
9. Using the larger circle, place the edge of the ruler connecting 15 and 345. Draw a vertical line until it
intersects the fifth horizontal line. Do the same on the other side. Notice that a right triangle is formed.
Mark the right angle A; on the other side, mark the right angle W.
10. Mark X the 0 point on the outer circle, F on the inner circle along 90, and R in the inner circle along 270.
11. Connect (using a French curve or simply freehand) the points (smooth curve), and you have a semi-
ellipse.
12. Complete the ellipse by doing steps 5-11 (make the necessary adjustments on the numbers and letters)
Note: Do NOT erase any construction line you made
Transcribed Image Text:Steps: 1. Using the compass, draw two concentric circles. Maximize the space in the bond paper. An inch between the two circles is ideal. (You may increase or decrease this distance) 2. Using the ruler, draw a diameter on the larger circle. Label the endpoint 0 and 180. 3. Using the protractor, subdivide the circles into equal pies (preferably 15°). Label these as 15, 30, .., 330, 345. 4. Using the inner circle, place the edge of the ruler connecting the intersection of 15 and 165. Draw horizontal lines from the inner circle outward to the larger circle. Do the same with 30 and 150, 45 and 135, 60 and 120, 75 and 105. Do the same on the other side; 195 and 345, and so on. 5. Using the larger circle, place the edge of the ruler connecting 75 and 285. Draw a vertical line until it intersects the first horizontal line. Do the same on the other side. Notice that a right triangle is formed. Mark the right angle E; on the other side, mark the right angle S. 6. Using the larger circle, place the edge of the ruler connecting 60 and 300. Draw a vertical line until it intersects the second horizontal line. Do the same on the other side. Notice that a right triangle is formed. Mark the right angle D; on the other side, mark the right angle T. 7. Using the larger circle, place the edge of the ruler connecting 45 and 315. Draw a vertical line until it intersects the third horizontal line. Do the same on the other side. Notice that a right triangle is formed. Mark the right angle C; on the other side, mark the right angle U. 8. Using the larger circle, place the edge of the ruler connecting 30 and 330. Draw a vertical line until it intersects the fourth horizontal line. Do the same on the other side. Notice that a right triangle is formed. Mark the right angle B; on the other side, mark the right angle V. 9. Using the larger circle, place the edge of the ruler connecting 15 and 345. Draw a vertical line until it intersects the fifth horizontal line. Do the same on the other side. Notice that a right triangle is formed. Mark the right angle A; on the other side, mark the right angle W. 10. Mark X the 0 point on the outer circle, F on the inner circle along 90, and R in the inner circle along 270. 11. Connect (using a French curve or simply freehand) the points (smooth curve), and you have a semi- ellipse. 12. Complete the ellipse by doing steps 5-11 (make the necessary adjustments on the numbers and letters) Note: Do NOT erase any construction line you made
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