 | Webster Wells - Geometry - 1886 - 392 pages
...etc. A'B' B'C' C'D'' That fc P AB _BC _ CD PROPOSITION XXVII. THEOREM. 286. In any right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. The triangles formed are similar to the whole triangle, and to each other. II. The perpendicular... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...number of triangles, 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... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...antecedent is to its consequent). NUMERICAL PROPERTIES OF FIGURES. ^ * PROPOSITION XV. THEOREM. y 334. // in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse: I. The perpendicular is a- mean proportional between the segments of the hypotenuse. II. Each leg of... | |
 | James Wallace MacDonald - Geometry - 1889 - 80 pages
...Problem. 224. To divide a line harmonically. Proposition XV. A Theorem. 225. In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. The right triangle is divided into two triangles similar to itself and to each other. II. The... | |
 | James Wallace MacDonald - Geometry - 1894 - 76 pages
...Problem. 224. To divide a line harmonically. Proposition XV. A Theorem. 225. In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. The right triangle is divided into two triangles similar to itself and to each other. II. The... | |
 | George Albert Wentworth - Geometry - 1890 - 296 pages
...consequent). NUMERICAL PROPERTIES OF FIGURES. PROPOSITION XV. THEOREM. 334. If in a right triangte a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. The perpendicular is a mean proportional between the segments of the hypotenuse. II. Each leg... | |
 | William Chauvenet - 1893 - 340 pages
...figures) whence (12) AB __ BC _ CD _ A'B' B'C' C'jy '°'''"' 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... | |
 | George Albert Wentworth - Geometry - 1893 - 270 pages
...consequent). FLAKE GEOMETKY. — BOOK III. NUMEEICAL PROPERTIES OF FIGURES. PROPOSITION XV. THEOREM. 334. If in a right triangle a perpendicular is drawn from the vertex of tJie right angle to the hypotenuse: I. The perpendicular is a mean proportional between the segments... | |
 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...equal. 217. If two circles Intersect, their common chord produced bisects their common tangents. 218. If, in a right triangle, a perpendicular is drawn...from the vertex of the right angle to the hypotenuse, and circles inscribed in the two triangles formed, their radii are proportional to the legs of the... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...placed. 333. The perimeters of two similar polygons have the same ratio as any two homologous sides. 334. If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. The perpendicular is a mean proportional between the segments of the hypotenuse. II. Each leg... | |
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If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. 
