 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...this true of polygons in general ? 9. If two triangles have their sides respectively perpendicular, are they similar ? Is this true of polygons in general...proceed to divide a straight line into seven equal parts ? 14. How would you proceed to find the square root of 7 by measuring the length of a line ? BOOK IV... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...sides proportional. Therefore the polygons are similar, by § 282. QED PROPOSITION XX. THEOREM 294. If in a right triangle a perpendicular is drawn from, the vertex of the right angle to the hypotenuse : 1. The triangles thus formed are similar to the given triangle, and are similar to each other. 2.... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...equals an angle of the other and the including sides are proportional. 161. Theorem VIII. If, in any right triangle, a perpendicular is drawn from the vertex of the right angle to the hypotenuse, the two right triangles thus formed are similar to each other and to the given triangle. 162. Corollary... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...the sides CD and DB, we obtain AD/CD — CD/DB, which was to be proved. 163. Corollary 2. If, in any right triangle, a perpendicular is drawn from the vertex of the right angle to the hypotenuse, each side of the right triangle is the mean, proportional between the hypotenuse and the segment adjacent... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...2 is the mean proportional between 1 and 4, since we have 1/2 = 2/4. 161. Theorem VIII. If, in any right triangle, a perpendicular is drawn from the vertex of the right angle to the hypotenuse, the two right triangles thus formed are similar to each other and to the given triangle. Given the... | |
 | George Albert Wentworth - 1913 - 296 pages
...9. a = 11, b = 21. 4. a = 1, i = 6. 4. a = 7,1 = 11. 10. a = 13, 6 = 29. 11. In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse, as shown in the figure, then, as in § 165, - = т- If o = 1.3 and 6 = 4, what is the length of p?... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...definite line. The projection of AB is CD ; of US is BT ; of LM is Nil. PROPOSITION XXXVI. THEOREM 331. If in a right triangle a perpendicular is drawn from the vertex of the right angle upon the hypotenuse : I. The triangles formed are similar to the given triangle and similar to each... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...if^:^ a jie aĞM*. • *i.- " -X -- v? rr * A ^h 434. Theorem. In any right triangle, if the altitude is drawn from the vertex of the right angle to the hypotenuse: (1) The two triangles thus formed are similar to the given triangle and to each other. (2) The altitude... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
....-. the perimeters have the same ratio as any two corresponding sides. PROPOSITION XVII. THEOREM 323. If in a right triangle, a perpendicular is drawn from the vertex of the right angle to the hypotenuse, then: (I) The two triangles thus formed are similar to each other, and to the whole triangle. (III)... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...their sides are parallel each to each, or perpendicular each to each. 310. (3) In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse, each leg is the mean proportional between the whole hypotenuse and the adjacent segment. 313. A perpendicular... | |
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If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. 
