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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 70

An illustration from Plane and solid geometry, 1912, leaf 70
, two unequaloblique lines are drawn to the line, the oblique lines will cut off unequalsegments from the foot of the perpendicular. Prove by the indirect method. Ex. 170. By means of Prop. XIV, prove that the sum of any twoangles of a triangle is less than two right angles. Ex. 171. Construct a… … Given A ABC, To prove a -{- c>h. Argument 1. Prolong c through B until prolongation BD = a, 2. Draw CD, 3. In isosceles A BDC, Z.D = Zdcb.But Zdca > Z.DCB. 4. 6. 6. Zdca > Zd, in A ADC, AD > b. 7. ,\ a + €;> b. Q.E.D. Reasons 1. Str. line post. II. § 54,16. 2. Str. line post. I. §…

Geometry, Plane · Geometry, Solid

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