 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...equal. 217. If two circles Intersect, their common chord produced bisects their common tangents. 218. If, in a right triangle, a perpendicular is drawn...from the vertex of the right angle to the hypotenuse, and circles inscribed in the two triangles formed, their radii are proportional to the legs of the... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...placed. 333. The perimeters of two similar polygons have the same ratio as any two homologous sides. 334. If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. The perpendicular is a mean proportional between the segments of the hypotenuse. II. Each leg... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...and prove the triangles ABD and ACF similar. PROPOSITION XIV. THEOREM 311. In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. The triangles on each side of the perpendicular are similar to the -whole triangle and to each... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...and prove the triangles ABD and ACF similar. PROPOSITION XIV. THEOREM 311. In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. The triangles on each side of the perpendicular are similar to the whole triangle and to each... | |
 | George Albert Wentworth - 1898 - 112 pages
...perpendicular. 70. A field has the shape of a right triangle, and the two legs are 100m and 200m respectively. A perpendicular is drawn from the vertex of the right angle to the hypotenuse. How many ars are there in each part ? 7 1 . The chord of an arc is 80cm and the chord of half the arc... | |
 | Yale University - 1898 - 212 pages
...1887. (The candidate may omit any two propositions.) 1. To inscribe a circle in a given triangle. 2. If a perpendicular is drawn from the vertex of the right angle to the hypothenuse of a right triangle: (ist.) The two triangles thus formed are similar to each other, and... | |
 | Mathematics - 1898 - 228 pages
...1887. (The candidate may omit any two propositions.) 1. To inscribe a circle in a given triangle. 2. If a perpendicular is drawn from the vertex of the right angle to the hypothenuse of a right triangle: (1st.) The two triangles thus formed are similar to each other, and... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...they are composed of the same number of triangles, similar each to each, and similarly placed. 367. If in a right triangle a perpendicular is drawn from...thus formed are similar to the given triangle, and to each other. 2. The perpendicular is the mean proportional between the segments of the hypotenuse.... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...similar. BOOK III. PLANE GEOMETRY. NUMERICAL PROPERTIES OF FIGURES. PROPOSITION XXVII. THEOREM. 367. If in a right triangle a perpendicular is drawn from...thus formed are similar to the given triangle, and to each other. 2. The perpendicular is the mean proportional between the segments of the hypotenuse.... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...equal vertical angles are similar. NUMERICAL PROPERTIES OF FIGURES. PROPOSITION XXVII. THEOBEM. 367, If in a right triangle a perpendicular is drawn from...thus formed are similar to the given triangle, and to each other. 2. The perpendicular is the mean proportional between the segments of the hypotenuse.... | |
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If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. 
