 | Nicholas Tillinghast - 1844 - 110 σελίδες
...equiangular with ABC, and hence similar. 72 PERPENDICULAR ON HYPOTENUSE. [BOOK V. PROP. XVIII. THEOREM. The perpendicular from the vertex of the right angle to the hypotenuse of a right-angled triangle, divides it into two triangles similar to each other, and similar to the... | |
 | 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,... | |
 | Webster Wells - 1886 - 392 σελίδες
...intersect each other, their common chord produced bisects their common tangents. (§ 293.) 3. If one side of a, right triangle is 'double the other, the perpendicular...it into segments which are to each other as 1 to 4. 4. If two parallels to the side BC of a triangle meet the sides AB and AC in the points D and F, and... | |
 | George Irving Hopkins - 1891 - 208 σελίδες
...extremity of the bisector extended, then the triangles BAD and ACE can be proved similar. 375. If one side of a right triangle is double the other, the perpendicular, from the vertex of the right angle to the hypothenuse, divides it into segments which are to each other as 1 to 4. 376. A line parallel to the... | |
 | George Irving Hopkins - 1891 - 210 σελίδες
...triangle is double the other, the perpendicular, from the vertex of the right angle to the hypothenuse, divides it into segments which are to each other as 1 to 4. 376. A line parallel to the bases of a trapezoid, passing through the intersection of the diagonals,... | |
 | Webster Wells - 1894 - 400 σελίδες
...intersecting circles is 16, and their radii are 10 and 17, what is the distance between cheir centres ? 22. If one leg of a right triangle is double the other,...it into segments which are to each other as 1 to 4. 23. If two parallels to the side BC of a triangle ABC meet the sides AB and AC in D and F, and E and... | |
 | Webster Wells - 1894 - 400 σελίδες
...10 and 17, what is the distance between cheir centres ? 22. If one leg of a right triangle is douhle the other, the perpendicular from the vertex of the...it into segments which are to each other as 1 to 4. 23. If two parallels to the side BC of a triangle ABC meet the sides AB and AC in D and F, and E and... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 344 σελίδες
...segment adjacent to that side. For from step 3, AB : AC - AC : AD ; and from 4, AB : BC = BC : DB. 2. The perpendicular from the vertex of the right angle to the hypotenuse is the mean proportional between the segments of the hypotenuse. For from step 5, AD : CD = CD : DB.... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 346 σελίδες
...segment adjacent to that side. For from step 3, AB : AC = AC : AD ; and from 4, AB : BC = BC : DB. 2. The perpendicular from the vertex of the right angle to the hypotenuse is the mean proportional between the segments of the hypotenuse. For from step 5, AD : CD = CD : DB.... | |
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If one leg of a right triangle is double the other, the perpendicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4. 
