## A System of Geometry and Trigonometry: Together with a Treatise on Surveying; Teaching Various Ways of Taking the Survey of a Field; Also to Protract the Same and Find the Area. Likewise, Rectangular Surveying; Or, an Accurate Method of Calculating the Area of Any Field Arithmetically, Without the Necessity of Plotting It. To the Whole are Added Several Mathematical Tables ... with a Particular Explanation ... and the Manner of Using Them ... |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

98 | |

104 | |

105 | |

106 | |

107 | |

108 | |

109 | |

110 | |

77 | |

87 | |

85 | |

85 | |

85 | |

91 | |

94 | |

96 | |

97 | |

112 | |

114 | |

115 | |

117 | |

118 | |

119 | |

120 | |

138 | |

151 | |

### Other editions - View all

SYSTEM OF GEOMETRY & TRIGONOME Abel 1765-1825 Flint,George Gillet,Frederick a. P. (Frederick Augu Barnard No preview available - 2016 |

SYSTEM OF GEOMETRY & TRIGONOME Abel 1765-1825 Flint,George Gillet,Frederick a. P. (Frederick Augu Barnard No preview available - 2016 |

### Common terms and phrases

Acres Rood Rods Angle opposite ARITHMs Circle Circumference Co-Secant|M Co-Sine Tangent Compass contained Angle Decimals Degrees and Minutes Diagonal Difference divided Doub double the Area draw a Line Draw the Line ExAMPLE FIELD BOOK find the Angles find the Area find the Leg given Leg given number given Side half ITSecant JVote l l l Latitude and Departure Leg AB Leg BC length Logarithmic Sine measuring multiply Natural Sines North Areas number of Acres number of Degrees Offset Parallelogram Perpendicular PLATE Plot PROBLEM protract Quotient Radius Remainder Rhombus Right Angled Triangle Rod Chains RULE Secant Co-Secant Side BC Sime Sine Co-Sine Sine Sine South Areas Square Chains Square Links Square Root stationary Lines subtract survey a Field Surveyor Tang Tangent or Secant Trapezium Trapezoid TRAVERSE TABLE Triangle ABC Trigonometry zoid

### Popular passages

Page iv - IDE, of the said District, hath deposited in this office, the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " Inductive Grammar, designed for beginners. By an Instructer." In conformity to the act of the Congress of the United States...

Page 34 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.

Page 33 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.

Page 12 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on.

Page 30 - In this case the" hypothenuse may be found by the square root without finding the angles ; according to the following PROPOSITION. IN EVERY RIGHT ANGLED TRIANGLE, THE SUM OF THE SQUARES OF THE TWO LEGS IS EQUAL TO THE SQUARE OF THE HYPOTHENUSE. In the above EXAMPLE, the square of AB 78.7 is 6193.69, the square of BC 89 is 7921 ; these added make 14114,69 the square root of which is nearest 119.

Page 48 - Field work and protraction are truly taken and performed ; if not, an error must have been committed in one of them : In such cases make a second protraction ; if this agrees with the former, it is to be presumed the fault is in the Field work ; a re-survey must then be taken.

Page 41 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be the area.

Page 12 - Therefore all radii of the same circle are equal. 13. The diameter of a circle is a right line drawn from one side of the circumference to the other, passing through the centre ; and it divides the circle into two equal parts, called semicircles ; as AB or DE.

Page 48 - Let his attention first be directed to the map, and inform him that the top is north, the bottom south, the right hand east, and the left hand west.

Page 29 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.