Elements of Geometry and Trigonometry |
From inside the book
Results 6-10 of 17
Page 113
... feet ? Ans . 714 sq . ft . D b C g B 2. How many square yards of paving are there in the quadrilateral , whose diagonal is 65 feet , and the two perpen- diculars let fall on it 28 and 33 feet ? Ans . 2221 . To find the area of any ...
... feet ? Ans . 714 sq . ft . D b C g B 2. How many square yards of paving are there in the quadrilateral , whose diagonal is 65 feet , and the two perpen- diculars let fall on it 28 and 33 feet ? Ans . 2221 . To find the area of any ...
Page 117
... feet ? Ans . To find the area of a circle . 2.123472 ft . 105. From the principle demonstrated in Book V. , Prop ... feet ? f Ans . 1.069016 . Ans . 11.4595 . 3. What is the area of a circle whose circumference is 12 feet ? To find the ...
... feet ? Ans . To find the area of a circle . 2.123472 ft . 105. From the principle demonstrated in Book V. , Prop ... feet ? f Ans . 1.069016 . Ans . 11.4595 . 3. What is the area of a circle whose circumference is 12 feet ? To find the ...
Page 118
... feet . 0.35343 sq . ft . 2. Find the area of a sector , whose arc is 20 feet , the radius being 10 . Ans . 100 . 3. Required the area of a sector , whose arc is 147 ° 29 ' , and radius 25 feet . Ans . 804.3986 sq . ft . To find the area ...
... feet . 0.35343 sq . ft . 2. Find the area of a sector , whose arc is 20 feet , the radius being 10 . Ans . 100 . 3. Required the area of a sector , whose arc is 147 ° 29 ' , and radius 25 feet . Ans . 804.3986 sq . ft . To find the area ...
Page 120
... feet , and each side of the base 3 feet . Ans . 90 sq . ft . 2. What is the entire surface of a right pyramid , whose slant height is 15 feet , and the base a pentagon , of which each side is 25 feet ? Ans . 2012.798 sq . ft . To find ...
... feet , and each side of the base 3 feet . Ans . 90 sq . ft . 2. What is the entire surface of a right pyramid , whose slant height is 15 feet , and the base a pentagon , of which each side is 25 feet ? Ans . 2012.798 sq . ft . To find ...
Page 121
... feet are there in the convex sur- face of the frustum of a square pyramid , whose slant height is 10 feet , each side of the lower base 3 feet 4 inches , and each side of the upper base 2 feet 2 inches ? Ans . 110 sq . ft . 2. What is ...
... feet are there in the convex sur- face of the frustum of a square pyramid , whose slant height is 10 feet , each side of the lower base 3 feet 4 inches , and each side of the upper base 2 feet 2 inches ? Ans . 110 sq . ft . 2. What is ...
Other editions - View all
Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies No preview available - 2016 |
Common terms and phrases
AB² ABCD AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right-angled triangle Scholium secant segment semi-circumference side BC similar Sine slant height sphere spherical angle spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prisms upper base vertex vertices whence
Popular passages
Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 100 - The area of a triangle is equal to half the product of its base by its altitude.
Page 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 59 - A chord is a straight line joining the extremities of an arc.
Page 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 43 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 123 - Similar triangles are to each other as the squares of their homologous sides.
Page 182 - The upper end of the frustum of a pyramid or cone is called the upper base...