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 Necessary for Solving Questions in Trigonometry and Surveying with a Particular Explanation of Those Tables and the Manner of Using Them :compiled from Various AuthorsCooke & Hale, 1818 - 168 páginas |
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Página 13
... Hypothenuse , and the other two , Legs , or Base and Perpendicular . Note . The three Angles of every Triangle being ad- ded together will amount to 180 Degrees ; conse- quently the two Acute Angles of a Right Angled Triangle amount to ...
... Hypothenuse , and the other two , Legs , or Base and Perpendicular . Note . The three Angles of every Triangle being ad- ded together will amount to 180 Degrees ; conse- quently the two Acute Angles of a Right Angled Triangle amount to ...
Página 16
... Hypothenuse and Angles being given . Fig . 30 . Suppose the Hypothenuse CA 25 Rods or Chains , the angle at C 35o 30 ' and consequently the Angle at A 54 ° 30 ' . See Note after the 39th Geometrical Defini- tion . Note . When Degrees ...
... Hypothenuse and Angles being given . Fig . 30 . Suppose the Hypothenuse CA 25 Rods or Chains , the angle at C 35o 30 ' and consequently the Angle at A 54 ° 30 ' . See Note after the 39th Geometrical Defini- tion . Note . When Degrees ...
Página 17
... Hypothenuse and one Leg being given . Fig . 32 . 28 . Suppose the Hypothenuse AC 40 , and the Leg AB Draw the Leg AB in length 28 ; from B erect a Per- pendicular an indefinite length ; take 40 in the Dividers , and setting one foot in ...
... Hypothenuse and one Leg being given . Fig . 32 . 28 . Suppose the Hypothenuse AC 40 , and the Leg AB Draw the Leg AB in length 28 ; from B erect a Per- pendicular an indefinite length ; take 40 in the Dividers , and setting one foot in ...
Página 20
... Hypothenuse AC be made Radius , and with it an Arch of a Circle be describ- ed from each end , BC will be the Sine of the Angle at A , and AB the Sine of the Angle at C ; that is , the Legs will be Sines of their opposite Angles ...
... Hypothenuse AC be made Radius , and with it an Arch of a Circle be describ- ed from each end , BC will be the Sine of the Angle at A , and AB the Sine of the Angle at C ; that is , the Legs will be Sines of their opposite Angles ...
Página 21
... Hypothenuse a Secant of the same Angle . Thus , as different Sides are made Radius , the other Sides acquire different names , which are either Sines , Tangents or Secants . As the Sides and Angles of Triangles bear a certain proportion ...
... Hypothenuse a Secant of the same Angle . Thus , as different Sides are made Radius , the other Sides acquire different names , which are either Sines , Tangents or Secants . As the Sides and Angles of Triangles bear a certain proportion ...
Términos y frases comunes
70 Dist Acres Rood Rods Angle opposite Answ Bearing and Distance C.Sine Sine C.Tang C.Tang Secant Circle Co-Sine Compass Decimal Degrees and Minutes Diagonal Diameter Doub Double Area double the Area draw a Line Draw the Line FIELD BOOK find the Angles find the Area find the Leg given Leg given number given Side Latitude and Departure Leg AB Leg BC length Logarithmic Sine Mathematical Tables measure multiply N.CS Natural Sines North Areas Note number of Acres number of Degrees opposite Angle Parallelogram Perpendicular PLATE PROBLEM protract Quotient Radius Remainder Rhombus Right Angled Triangle RULE Secant C.Sec second Departure Column Side BC Sine C.Sine Tang Sine C.Tang Tang Sine Sine Sine Sine Tang South Areas Square Chains Square Root stationary Lines subtract survey a Field Surveyor Table of Logarithmic Tangent or Secant Trapezium Trapezoid Triangle ABC TRIGONOMETRY whole Number
Pasajes populares
Página 10 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Página 32 - 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.
Página ii - District, has deposited in this office the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " THE CHILD'S BOTANY," In conformity to the act of the Congress of the United States, entitled, " An act for the encouragement of learning by securing the copies of maps, charts, and books to the authors and proprietors of such copies, during the times therein mentioned...
Página 14 - Figures which consist of more than four sides' are called polygons; if the sides are equal to each other they are called regular polygons, and are sometimes named from the number of their sides, as pentagon, or hexagon, a figure of five or six sides, &c.; if the sides are unequal, they are called irregular polygons.
Página ii - RILEY, of the said district, hath deposited in this office the title of a book, the right whereof he claims as proprietor, in the words and figures following, to wit : " Collections of the New-York Historical Society. For the year 1809. Volume I. Esti nen prosunt singula, juncta juvent...
Página ii - ... encouragement of learning by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the times therein mentioned ; " and extending the benefits thereof to the arts of designing, engraving, and etching historical, and other prints.
Página 11 - Fig. 7. 23. The Tangent of an Arch is a Right Line touching the Circumference, and drawn perpendicular to the Diameter ; and 'is terminated by a Line drawn from the Centre through the other end of the Arch ; thus BK is the Tangent of the Arch BH.
Página 10 - The radius of a circle is a line drawn from the centre to the circumference, as A, B.
Página 10 - The chord of an arc of 60 degrees is equal in length to the radius of the circle of which the arc is a part.
Página 27 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.