This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1905 Excerpt: ...Then, by what arc is Z 2 measured? (See Note, Case II.) Therefore--222. Corollary I. An inscribed right angle is measured by.one-half a semi-circumference. 223. Corollary II. An angle inscribed in a semi-circle is a right angle. Query. How could you use Corollary II to construct a right angle? Ex. 127. If angle A, 221, ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1905 Excerpt: ...Then, by what arc is Z 2 measured? (See Note, Case II.) Therefore--222. Corollary I. An inscribed right angle is measured by.one-half a semi-circumference. 223. Corollary II. An angle inscribed in a semi-circle is a right angle. Query. How could you use Corollary II to construct a right angle? Ex. 127. If angle A, 221, Case I = 63, how many degrees in angle 1? In angle C? In arc AC? Proposition XX. 224. Theorem. An angle formed by a tangent and a chord is measured by one-half the intercepted arc. A D Let m represent an angle formed by A B a tangent, A C a chord, and ADC the intercepted arc. To prove that the angle m is measured by one-half the arc ADC. Suggestion 1. Draw through A the diameter A M. What kind of an Z is B A M? Why? By what arc is it measured? 95. 2. By what arc is Z n measured? Why?-j. By what arc is Z m measured? Why? (See Note 221.) Therefore--Ex. 128. A chord is met at its extremity by a tangent forming an angle of 75. How many degrees in the arc that is subtended by the chord? Ex. 129. a, b and c are the angles of an inscribed triangle. Angle a is four times b, and b is one-seventh of c. How many degrees in the arcs of the circle subtended by the sides of the angles, respectively? Proposition XXI. 225. Theorem. The angle formed by two secants, meeting without the circle, is measured by one-half Ute difference of the intercepted arcs. Let A B and A C represent two secants, meeting at A, without the circle, forming the angle B A C and intercepting the arcs D E and B C. To prove that the angle B A C is measured by one-half the difference of the arcs B C and D E. Suggestion 1. Through E, draw a chord EM II to AB. 2. By what arc is Z 1 measured? Why? j. Compare the Z A with Z 1. 4. Then, by what arc is Z A measured? 5. Exp...
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Add this copy of Plane Geometry Suggestive Method to cart. $59.74, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2016 by Palala Press.
