An Elementary Geometry and TrigonometryThompson, Bigelow, and Brown, 1872 - 238 σελίδες |
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Σελίδα 21
... feet and 13 feet in length , how long is the line joining the middle points of the other two sides ? 22. If one of the angles of a parallelogram is 120 ° , how many degrees are there in each of the other angles ? EXERCISES . The ...
... feet and 13 feet in length , how long is the line joining the middle points of the other two sides ? 22. If one of the angles of a parallelogram is 120 ° , how many degrees are there in each of the other angles ? EXERCISES . The ...
Σελίδα 44
... feet and altitude 12 feet ? 3. What is the area of a triangle whose base is 14 feet and altitude 8 feet ? 4. What is the square surface of a board 15 feet long , and 16 inches wide at one end and 9 inches at the other ? What kind of a ...
... feet and altitude 12 feet ? 3. What is the area of a triangle whose base is 14 feet and altitude 8 feet ? 4. What is the square surface of a board 15 feet long , and 16 inches wide at one end and 9 inches at the other ? What kind of a ...
Σελίδα 60
... feet ? 6. The radii of two concentric circles are 40 and 54 feet ; what is the area of the space bounded by their circumferences ? 7. A has a circular lot of land whose diameter is 95 rods , and B a simi- lar lot whose area is 750 ...
... feet ? 6. The radii of two concentric circles are 40 and 54 feet ; what is the area of the space bounded by their circumferences ? 7. A has a circular lot of land whose diameter is 95 rods , and B a simi- lar lot whose area is 750 ...
Σελίδα 84
... 5235 . 65. Cor . 2. As in these equations and are constant , the volumes of spheres vary as the cubes of their radii , or as the cubes of their diameters . PRACTICAL QUESTIONS . 1. How many square feet in the 84 SOLID GEOMETRY .
... 5235 . 65. Cor . 2. As in these equations and are constant , the volumes of spheres vary as the cubes of their radii , or as the cubes of their diameters . PRACTICAL QUESTIONS . 1. How many square feet in the 84 SOLID GEOMETRY .
Σελίδα 85
... feet , and whose base is a regular hexagon of which each side is 8 inches long ? How many square feet in the whole surface ? 2. The radius of the base of a cylinder is 6 inches , and its altitude 3 how many square feet in the whole ...
... feet , and whose base is a regular hexagon of which each side is 8 inches long ? How many square feet in the whole surface ? 2. The radius of the base of a cylinder is 6 inches , and its altitude 3 how many square feet in the whole ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C ABCDEF acute angle adjacent altitude angle BCD apothem arc or angle bisect centre chord circumference comp cone construct the triangle convex surface Corollary cosec decr diagonals diameter distance divided draw equiangular equilateral equivalent feet Find the Log frustum Geom given angle given line given point given side hypothenuse included angle incr inscribed internal angles isosceles triangle lines A B Logarithm M.
M. Sine multiplied number of sides opposite side parallelogram parallelopiped perimeter perpendicular PLANE GEOMETRY plane triangle PLANE TRIGONOMETRY prism PROBLEM quadrilateral radii radius ratio rectangle regular polygon right angle right pyramid right triangle right-angled triangle Scholium secant segment side opposite similar triangles slant height sphere square straight line Tang tangent THEOREM THEOREM VII trapezoid triangle ABC TRIGONOMETRY vertex
Δημοφιλή αποσπάσματα
Σελίδα 30 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Σελίδα 49 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Σελίδα 96 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 12 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 11 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 23 - If two triangles have two sides of one respectively equal to two sides of the other, and the angles contained by those sides supplementary, the triangles are equal in area.
Σελίδα 20 - ... polygon, is equal to twice as many right angles as the polygon has sides minus two.
Σελίδα 71 - The convex surface of a right prism is equal to the perimeter of its base multiplied by its altitude.
Σελίδα 40 - At a point 200 feet from, and on a level with the base of a tower, the angle of elevation of the top of the tower is observed to be 60° : what is the height of the tower?
Σελίδα 23 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.