The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtJ.J. Harper, 1828 - 435 páginas |
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Página 38
... opposite points of the circumference : and it divides the circle and circumference into two equal parts , called semicircles ; and is double the radius , as AB or DE . fig . 8 . 16. The circumference of every circle is supposed to be ...
... opposite points of the circumference : and it divides the circle and circumference into two equal parts , called semicircles ; and is double the radius , as AB or DE . fig . 8 . 16. The circumference of every circle is supposed to be ...
Página 41
... opposite sides are parallel , are called parallelograms : thus ABCD is a parallelogram . fig . 3. 17 , and AB . fig . 18 and 19 . 43. A parallelogram whose sides are all equal and angles right , is called a square , as ABCD . fig . 17 ...
... opposite sides are parallel , are called parallelograms : thus ABCD is a parallelogram . fig . 3. 17 , and AB . fig . 18 and 19 . 43. A parallelogram whose sides are all equal and angles right , is called a square , as ABCD . fig . 17 ...
Página 44
... opposite angles made by those lines will be equal to each other : that is , AEB to CED , and BEC to AED . By theorem 1. BEC + CED = 2 right angles . and CED + DEA = 2 right angles . Therefore ( by axiom 1. ) BEC + CED = CED + DEA : take ...
... opposite angles made by those lines will be equal to each other : that is , AEB to CED , and BEC to AED . By theorem 1. BEC + CED = 2 right angles . and CED + DEA = 2 right angles . Therefore ( by axiom 1. ) BEC + CED = CED + DEA : take ...
Página 45
... opposite interior angles , double of those in another triangle ; its remaining opposite interior angle will also be double of the cor- responding angle in the other . * That invaluable instrument , Hadley's Quadrant , is founded on this ...
... opposite interior angles , double of those in another triangle ; its remaining opposite interior angle will also be double of the cor- responding angle in the other . * That invaluable instrument , Hadley's Quadrant , is founded on this ...
Página 46
... opposite to those equal sides , will also be equal to each other ; viz . a = b . For let the triangle a bc , be divided into two triangles a cd , de b , by making the angle a c d deb ( by postulate 4. ) then because a c = bc , and ed ...
... opposite to those equal sides , will also be equal to each other ; viz . a = b . For let the triangle a bc , be divided into two triangles a cd , de b , by making the angle a c d deb ( by postulate 4. ) then because a c = bc , and ed ...
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ABCD acres altitude Answer arch base bearing centre chains and links circle circumferentor Co-sec Co-tang column compasses contained cube root decimal difference of latitude Dist divided divisions divisor draw east Ecliptic edge EXAMPLE feet field-book figure four-pole chains given angle given number half the sum height Hence Horizon glass hypothenuse inches instrument length logarithm measure Meridian Altitude meridian distance method multiplied natural co-sine natural number natural sine Nonius number of degrees object observed off-sets opposite parallel parallelogram perches perpendicular plane prob PROBLEM proportional protractor Quadrant quotient radius rhombus right angles right line Secant sect semicircle Sextant side square root station subtract Sun's survey taken Tang tangent theo theodolite THEOREM trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence