 | 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,... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...of the perpendicular to the shorter segment ? MILNE'S GEOM. — 11 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:... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...the same number of triangles, similar each to each, and similarly placed. 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.... | |
 | 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.... | |
 | 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.... | |
 | 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:... | |
 | 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.... | |
 | William James Milne - Geometry - 1899 - 326 pages
...passes through A. 2. Ax. 14, CO = OB, and DP=PB; .: § 159, CD II OP. Ex. 94. If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse, and circles are inscribed in the triangles thus formed, the diameters are proportional... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...then DE is divided into equal parts at H and I. PROPOSITION XXV. — THEOREM. If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse, 1st. The triangles on each side of the perpendicular are similar to the given triangle... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...equal to half of this side, prove that the triangle has one right angle. 3. If, in a right triangle, a perpendicular is drawn from the vertex of the right angle to the opposite side, the two triangles so formed are equiangular with each other and with the whole triangle.... | |
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If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. 
