Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful Tables |
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Page 59
... Acres . 10 = 1 ( 81. ) To find the area of a parallelogram . RULE I. Multiply the base by the altitude . For the demonstration of this rule , see Geometry , Prop . 5 , B. IV . Ex . 1. What is the area of a parallelogram BOOK III.
... Acres . 10 = 1 ( 81. ) To find the area of a parallelogram . RULE I. Multiply the base by the altitude . For the demonstration of this rule , see Geometry , Prop . 5 , B. IV . Ex . 1. What is the area of a parallelogram BOOK III.
Page 60
... altitude 13 rods ? Ans . , 227.5 square rods . Ex . 2. What is the area of a square whose side is 315.7 feet ? Ans . , 99666.49 square feet . Ex . 3. What is the area of a rectangular board whose length is 15.25 feet , and breadth 15 ...
... altitude 13 rods ? Ans . , 227.5 square rods . Ex . 2. What is the area of a square whose side is 315.7 feet ? Ans . , 99666.49 square feet . Ex . 3. What is the area of a rectangular board whose length is 15.25 feet , and breadth 15 ...
Page 61
... altitude . For demonstration , see Geometry , Prop . 6 , B. IV . Ex . 1. How many square yards are contained in a triangle whose base is 49 feet , and altitude 25 feet ? Ans . , 68.736 . Ex . 2. What is the area of a triangle whose base ...
... altitude . For demonstration , see Geometry , Prop . 6 , B. IV . Ex . 1. How many square yards are contained in a triangle whose base is 49 feet , and altitude 25 feet ? Ans . , 68.736 . Ex . 2. What is the area of a triangle whose base ...
Page 63
... altitude 524 feet ? PROBLEM IV . Ans . ( 88. ) To find the area of an irregular polygon . RULE . Draw diagonals dividing the polygon into triangles , and find the sum of the areas of these triangles . Ex . 1. What is the area of a ...
... altitude 524 feet ? PROBLEM IV . Ans . ( 88. ) To find the area of an irregular polygon . RULE . Draw diagonals dividing the polygon into triangles , and find the sum of the areas of these triangles . Ex . 1. What is the area of a ...
Page 72
... altitude is 20 feet , breadth 4 feet , and depth 2 feet ? Ans . , 256 square feet . Ex . 2. What is the entire surface of a pentagonal prism whose altitude is 25 feet 6 inches , and each side of its base 3 feet 9 inches ? Ans ...
... altitude is 20 feet , breadth 4 feet , and depth 2 feet ? Ans . , 256 square feet . Ex . 2. What is the entire surface of a pentagonal prism whose altitude is 25 feet 6 inches , and each side of its base 3 feet 9 inches ? Ans ...
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Common terms and phrases
9 I I altitude angle of elevation arithm base chains circle Co-sine Co-tangent complement computed correction cosecant course and distance decimal diameter diff difference of latitude difference of longitude Dist divided equal equator fifth figure find the angles find the area find the Logarithm frustum given number given the angle height Hence horizontal plane hypothenuse inches latitude and departure length LO LO LO logarithmic sine measured meridian middle latitude miles minutes Multiply natural number nautical miles parallel parallel sailing perpendicular places plane sailing Prob Prop proportional quadrant radius Required the logarithmic right-angled spherical triangle right-angled triangle Sandy Hook secant ship sails side AC spherical triangle ABC SPHERICAL TRIGONOMETRY station subtract surface tabular number tang Tangent telescope theodolite Theorem vernier vertical Vulgar Fraction wyll yards zoids ΙΙ ΙΟ
Popular passages
Page 20 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.
Page 163 - In any spherical triangle, the sines of the sides are proportional to the sines of the opposite angles. In the case of right-angled spherical triangles, this proposition has already been demonstrated.
Page 69 - FIND the area of the sector having the same arc with the segment, by the last problem. Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector.
Page 54 - 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 69 - TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Page 73 - To find the solidity of a pyramid. RULE. Multiply the area of the base by one third of the altitude.
Page vi - The characteristic of the logarithm of ANY NUMBER GREATER THAN UNITY, is one less than the number of integral figures in the given number.
Page 184 - If a heavy sphere, whose diameter is 4 inches, be let fall into a conical glass, full of water, whose diameter is 5, and altitude 6 inches ; it is required to determine how much water will run over ? AHS.