 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...points X, Y, and Z, respectively. C-AT _ A C ZA ~.AC" l ) rc BC BZ BC f*>\ PROPOSITION XXI. THEOREM 518. In a right-angled triangle, if a perpendicular is drawn from the vertex of tJte right angle to the hypotenuse, I. The triangles on each side of the perpendicular are similar... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...polygons are in the same ratio as any two corresponding sides. § 254. (5) If in a right triangle the perpendicular is drawn from the vertex of the right angle to the hypotenuse: (1) the two triangles thus formed are similar to each other and to the whole triangle ;... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 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. The... | |
 | United States. War Department - 1903 - 438 pages
...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)... | |
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...similar polygons equals the ratio of similitude of the polygons. 174. Theorem XII. If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. The triangles thus formed are similar to the whole triangle, and to each other. II.... | |
 | United States. War Department - 1903 - 446 pages
...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)... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...AB AB ~ AD And since ABC and BCD are similar, AC __ CB C~B ~= C~D' that is, if in a right triangle, a perpendicular is drawn from the vertex of the right angle to the hypothenuxe, either side about the right angle is a mean proportional between the wliole hypothenuse,... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...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.... | |
 | Cora Lenore Williams - Geometry - 1905 - 50 pages
...Polygons similar to the same polygon are similar to each other. Prop. 117. If in a right-angled triangle, a perpendicular is drawn from the vertex of the right angle to the hypotemuse, it divides the triangle into two right triangles which are similar to the whole triangle,... | |
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...opposite sides are also unequal, and thegreater side is opposite the greater angle. 2. In a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse. State and prove three theorems true of the figure thus formed. 3. The bisector of an angle... | |
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If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. 
