 | National Committee on Mathematical Requirements - 1922 - 84 σελίδες
...respectively proportional. 14. If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other. 15. The perimeters of two similar polygons have the same ratio as any two corresponding sides. 16.... | |
 | William Hepworth, J. Thomas Lee - 1922 - 432 σελίδες
...Angle ADC. III., 35 (Fig. 13). If two lines in a circle cut each other, the product of the segments of one is equal to the product -of the segments of the other. ABxBC = DBxBE. III., 36 (Fig. 14). If from a point outside of a circle any line be drawn cutting the... | |
 | David Eugene Smith - 1923 - 314 σελίδες
...in. and one side is 10.2 in. Hence §$ 220, 221 175 Proposition 7. Intersecting Chords 220. Theorem. If two chords of a circle intersect, the product of...equal to the product of the segments of the other. Given a O with the chords AB and CD, intersecting at P. Prove that PA"PB = PC. PD. Proof. Draw ACandBD.... | |
 | Edson Homer Taylor, Fiske Allen - 1923 - 104 σελίδες
...and 3 ft. The sides of a second triangle are 2ft., l$ft., and 2.^ft. Are the triangles similar? 9. If two chords of a circle intersect, the product of the segments of one equals the product of the segments of the other. Hint. Prove the triangles BED and A EC mutually... | |
 | National Committee on Mathematical Requirements - 1923 - 680 σελίδες
...corresponding parts of the other." 14. If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other. 15. The perimeters of two similar polygons have the same ratio as any two corresponding sides. 16.... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 484 σελίδες
...proportion. Ex. 846. If two chords intersect within a circumference, the product of the segments of one is equal to the product of the segments of the other. Ex. 847. If from any point E in the chord AB the perpendicular EC be drawn upon the diameter AD, then... | |
 | 1905 - 1094 σελίδες
...into extreme and mean ratio. в. If two cords intersect In a circle, the product of the segments of one Is equal to the product of the segments of the other. 7. The sum of the squares of two sides of a triangle is equal to twice the square of half the third... | |
 | Jacob William Albert Young - 1924 - 484 σελίδες
...respectively proportional. 14. If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other. 15. The perimeters of two similar polygons have the same ratio as any two corresponding sides. 1 6.... | |
 | Baltimore (Md.). Department of Education - 1924 - 182 σελίδες
...corresponding sides. 4. a. If two chords intersect in a circle, the product of the segments of the one is equal to the product of the segments of the other. *b. If from a point without a circle, a tangent and a secant are drawn, the tangent is the mean proportional... | |
 | Julius J. H. Hayn - 1925 - 328 σελίδες
...triangles. z 2 -f- wz = ab. If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other. z 2 + mn = ab. S 2^ ab _ mn _ (See 173, 212, 234.) This theorem shows how to calculate the bisector... | |
| |
If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other. 
