 | John Radford Young - 1827 - 246 σελίδες
...is obvious that two may have their bases as their altitudes without being similar. PROPOSITION XIV. THEOREM. The perpendicular, from the vertex of the right angle to the hypothenuse of a right angled triangle, divides it into two triangles similar thereto. In the triangle... | |
 | Evan Wilhelm Evans - 1862 - 116 σελίδες
...similar. Therefore, two triangles, etc. THEOREM VII. A perpendicular let fall from the right angle upon the hypotenuse of a right-angled triangle divides it into two triangles similar to the whole and to each other. Let ABC be a triangle rightangled at B, and let BD be perpendicular to... | |
 | Trinity College (Hartford, Conn.) - 1870 - 1008 σελίδες
...is a point in the diameter which is perpendicular to the chords. O. 4. If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle, (1) the triangles thus formed are similar to each other and to the whole triangle,... | |
 | William Chauvenet - 1871 - 380 σελίδες
...of the polygons (40). 10 APPLICATIONS. PROPOSITION XIII.— THEOREM. 44. If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle : 1st. The two triangles thus formed are similar to each other and to the whole triangle;... | |
 | William Chauvenet - 1872 - 382 σελίδες
...of the polygons (40). 10 APPLICATIONS. PROPOSIT1ON XIII.— THEOKEM. 44. If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle : 1st. The two triangles thus formed are similar to each other and to the whole triangle;... | |
 | Aaron Schuyler - 1876 - 384 σελίδες
...AHB be a triangle right angled at H; a, h, b, the sides respectively opposite the angles, A, H, B; p, the perpendicular from the vertex of the right angle to the hypotenuse ; m and n, segments of the hypotenuse respectively adjacent to a and b. 1. The triangle BDH is similar... | |
 | Alfred Hix Welsh - 1883 - 326 σελίδες
...EXERCISES. 1. In a right triangle, the sides about the right angle are 12 and 15; required the length of the perpendicular from the vertex of the right angle to the hypotenuse. Suggestion. —Find the hypotenuse and one of the segments. 2. A lot is in the form of a right triangle,... | |
 | Evan Wilhelm Evans - 1884 - 170 σελίδες
...similar. Therefore, two triangles, etc. THEOREM XIII. A perpendicular let fall from the right angle upon the hypotenuse of a right-angled triangle divides it into two triangles similar to the whole and to each other. Let ABC be a triangle rightangled at B; and let BD be perpendicular to... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 331 σελίδες
...figures) whence (12) _ BC CD ^ B'C' C'D' '' PROPOSITION IX.—THEOREM. 25. If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle: 1st. The two triangles thus formed are similar to each other and to the whole triangle;... | |
 | William Chauvenet - 1893 - 340 σελίδες
...similar each to each and similarly placed. PROPOSITION VIII. PROPOSITION IX. If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle : 1st. The two triangles thus formed are similar to each othei and to the whole triangle... | |
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If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle : 1st. 
