 | 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 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... | |
 | 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 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... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...angles are similar. NUMERICAL PROPERTIES OF FIGURES. PROPOSITION XXVII. THEOREM. 367, If in a r'ujht 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... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...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... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...equal parts at F and G, 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 and to each... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...of the opposite side is 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.... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...of the opposite side is 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 ef the right angle to the opposite side, .the two triangles so formed are equiangular with each other... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 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 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... | |
 | United States. War Department - 1903 - 446 pages
...straight line, to describe a segment of a circle in which a given angle may be inscribed. 3. Theorem. — If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse. (a) The triangles thus formed are similar to the given triangle and to each other. (b) The perpendicular... | |
 | United States. War Department - 1903 - 438 pages
...straight line, to describe a segment of a circle in which a given angle may be inscribed. 8. Theorem. — If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse. (a) The triangles thus formed are similar to the given triangle and to each other. (6) 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. 
