 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...A'E'' P = AE P ' A'E' QED PROPOSITION XVII. THEOHKM. 227. If in a right triangle a perpendicular be drawn from the vertex of the right angle to the hypotenuse: I. It divides the triangle into two right triangles ichich are similar to the whole triangle, and also... | |
 | Harvard University - Geometry - 1899 - 39 pages
...polygons are in the same ratio as any two corresponding sides. THEOREM VIII. If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. The two triangles thus formed are similar to each other and to the whole triangle. II. The perpendicular... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...to 3 units and CD equal to 2 units, the value of CE is V6. Proposition 149. Theorem. 183. In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse, the squares of the legs are in the same ratio as the adjacent segments of the hypotenuse, and the ratio... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...GEOMETRY. NUMERICAL PROPERTIES OF FIGURES. PROPOSITION XXVII. THEOREM. 367. 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 to each other. 2. The perpendicular... | |
 | William James Milne - Geometry - 1899 - 396 pages
...compare with the ratio of the perpendicular to the shorter segment ? Theorem. If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse, the perpendicular is a mean proportional between the segments of the hypotenuse. Data: Any right triangle,... | |
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...are similar. NUMERICAL PROPERTIES OF FIGURES. PROPOSITION XXVII. THEOREM. 367. 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 to each other. 2. The 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. 
