Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 113
... feet ? Ans . 714 sq . ft . D Ъ 0 9 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 . 222 . To find the area of any ...
... feet ? Ans . 714 sq . ft . D Ъ 0 9 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 . 222 . To find the area of any ...
Page 117
... feet ? Ans . 2.123472 ft . To find the area of a circle . 105. From the principle demonstrated in Book V. , Prop ... feet ? diameter Ans . 1.069016 . 3. What is the area of a circle whose circumference is 12 feet ? Ans . 11.4595 . To ...
... feet ? Ans . 2.123472 ft . To find the area of a circle . 105. From the principle demonstrated in Book V. , Prop ... feet ? diameter Ans . 1.069016 . 3. What is the area of a circle whose circumference is 12 feet ? Ans . 11.4595 . To ...
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 the ...
... 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 the ...
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 ...
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Common terms and phrases
AB² ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following