Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 203
s, the figure thus formed containsfive triangles each of which is similar to any one of the others. 192 PLAXE GEOMETRY Propositiox XXV. Theorem 442. In a right triangle, if tlie altitude upon thehypotenuse is drawn: I. Tlie triangles thus formed are similar to the giventriangle and to each other.… … Given rt. A ABC and the altitude CD upon the hypotenuse. To prove: I. A BCD ^ A ABC, A ADC ~ A ABC, and A BCD ^ A ADC11. BD : CD = CD : DA.III. AB :BC=BC:DB Sind AB:AC= AC: AD. I. Argument 1 In rt. A BCD and ABC, Zb 2. .-.A BCD ^ A ABC. 3. In rt. A ADC and ABC, A A 4. .-. A ADC ^ A ABC. 6. .-. Z1 =…
Geometry, Plane · Geometry, Solid
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