Pupil-teachers' Mensuration Questions. ...

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Heywood, 1882 - 63 páginas
 

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Página 11 - ... angles are proportional, the triangles are equiangular. If two triangles have an angle in each equal, and the sides about two other angles proportional, the remaining angles are equal or supplemental. Similar triangles are as the squares on corresponding sides. The perpendicular from the right angle of a right-angled triangle on the hypotenuse divides the triangle into two which are similar to the original triangle. In equal circles angles, whether at the centres or circumferences, are proportional...
Página 50 - A ladder 38 feet long, just reaches to a window 29 feet 6 inches high on one side of a street ; and, on turning the ladder over without moving its foot, it reaches a window 28 feet high on the other side. Find the breadth of the street.
Página 24 - What is the ratio of the area of a circle to the area of its circumscribed square ? 34.
Página 49 - The length of a rectangular field is to its breadth as 6 to 5. One-sixth of the field was planted, which left 625 square yards for ploughing. What is the length ? 2.
Página 40 - SECTION IX. 1. A rectangular park, one side of which is twice as long as the other, contains 500 acres : how much ground will be occupied by a road 15 feet wide, running round it ? 2. Two equal chords, 15 inches in length, are drawn from a point in the circumference of a circle, and form an angle equal to two-thirds of a right angle : find the area of the circle to three places of decimals.
Página 4 - SQUARE MEASURE 625 square links 1 square rod 16 square rods 1 square chain 10 square chains .... 1 acre 640 acres 1 square mile...
Página 25 - The difference between the areas of two squares inscribed and circumscribed about a circle is 338 sq.
Página 53 - A man walked 8 miles 1320 yards in a certain number of hours, less by one than the number of miles he walked in an hour ; how long did he walk ? Can you explain the meaning of the negative root of the equation obtained in working this prob lern î Mensuration.

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