The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art. With a New Set of Accurate Mathematical TablesA. S. Barnes, 1839 - 412 páginas |
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Página 41
... opposite points of the circum- ference ; 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 circum- ference ; 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 44
... opposite sides are parallel , are called parallelograms : thus ABCD is a parallelogram , fig . 3 , 17 , and AB , fig . 18 , 19 . 43. A parallelogram whose sides are all equal and angles right is called a square , as ABCD , fig . 17 . 44 ...
... opposite sides are parallel , are called parallelograms : thus ABCD is a parallelogram , fig . 3 , 17 , and AB , fig . 18 , 19 . 43. A parallelogram whose sides are all equal and angles right is called a square , as ABCD , fig . 17 . 44 ...
Página 46
... 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 two right angles . and CED + DEA = two right angles . Therefore ( by axiom 1 ) BEC + CED = CED + DEA ...
... 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 two right angles . and CED + DEA = two right angles . Therefore ( by axiom 1 ) BEC + CED = CED + DEA ...
Página 47
... opposite interior angles double of those in another tri- angle , its remaining opposite interior angle will also be double of the corresponding angle in the other.f That invaluable instrument , Hadley's Quadrant , is founded on this ...
... opposite interior angles double of those in another tri- angle , its remaining opposite interior angle will also be double of the corresponding angle in the other.f That invaluable instrument , Hadley's Quadrant , is founded on this ...
Página 49
... opposite to those equal sides will also be equal to each other ; viz . a = b . For let the triangle abc be divided into two triangles acd , deb , by making the angle acd = dcb ( by postulate 4 ) ; then because ac - bc , and cd common ...
... opposite to those equal sides will also be equal to each other ; viz . a = b . For let the triangle abc be divided into two triangles acd , deb , by making the angle acd = dcb ( by postulate 4 ) ; then because ac - bc , and cd common ...
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Términos y frases comunes
ABCD acres altitude arch base bearing blank line centre chains and links circle circumferentor column compasses contained Cosine Sine cube root decimal diagonal diameter difference of latitude divided divisions divisor draw east ecliptic edge EXAMPLE feet field-book figure four-pole chains geometrical series given angle given number half the sum height Hence horizon glass hypothenuse inches instrument length logarithm manner measure meridian distance multiplied needle nonius number of degrees object observed opposite parallelogram perches perpendicular plane prob PROBLEM proportion protractor quadrant quotient radius rhombus right angles right line scale of equal screw secant sect sector semicircle side Sine Cotang square root station stationary distance subtract suppose survey taken Tang tangent theo theodolite THEOREM trapezium triangle ABC trigonometry two-pole chains vane vulgar fraction whence
Pasajes populares
Página 49 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 41 - 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 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Página 45 - A lemma is something which is premised, or demonstrated, in order to render what follows more easy. A corollary is a consequent truth derived immediately from some preceding truth or demonstration.
Página 35 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Página 21 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.