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Plane and solid geometry (1912)

Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 57

An illustration from Plane and solid geometry, 1912, leaf 57
118. State the converse of the definition for equal figures;straight line ; plane surface. Ex. 11^ State the converse of: If one straight line meets anotherstraight line, the sum of the two adjacent angles is two right angles. Ex. 12Q/ State the converse and opposite of Prop. IX. Ex. 121. State the… … Given line i?5, and point Q such that Qi?= QS.To prove that Q lies in the J_ bisector of i?5. Argument 1. Let QT bisect Z RQS, 2. QR = QS. 3. ..A RQS is isosceles. 4. .. Qr is the ± bisector of 5. .. Q lies in the ± bisector of RS. Q.E.D. Reasons 1. Every Z has but one bi- sector. § 53. 2. By hyp.…

Geometry, Plane · Geometry, Solid

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