A Treatise of Practical Surveying, ... |
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Página 43
BAC = bac ; and ACB = acb ; in like manner EAD = ea d , and EDA = e da . If
therefore from the equal angles A , and a , we take the equal ones EAD + BAC =
ead + bac the remaining angle DAC = dac , and if from the equal angles D and d
...
BAC = bac ; and ACB = acb ; in like manner EAD = ea d , and EDA = e da . If
therefore from the equal angles A , and a , we take the equal ones EAD + BAC =
ead + bac the remaining angle DAC = dac , and if from the equal angles D and d
...
Página 133
In the same manner the rest may be chained up and down : but in going down it
is plain the leader of the chain must hold up'the end thereof , and the plummet
thence suspended , will mark the point where he is to stick his peg . The figure is
...
In the same manner the rest may be chained up and down : but in going down it
is plain the leader of the chain must hold up'the end thereof , and the plummet
thence suspended , will mark the point where he is to stick his peg . The figure is
...
Página 142
2 .; and in the same line , under the title of distances in the third column , let the
measure of the line BC , in chains and links , be inserted : after the same manner
we may proceed from C to D , and thence to E ; but because the angle at E , viz .
2 .; and in the same line , under the title of distances in the third column , let the
measure of the line BC , in chains and links , be inserted : after the same manner
we may proceed from C to D , and thence to E ; but because the angle at E , viz .
Página 234
As before , half the sum of Bb , and Cc , multiplied by be , will be the area of the
trapezium bBCc ; after the same manner , half the sum of Cc , and Dd , multiplied
by cd , will give the area of the trapezium cCDd ; and again , half the sum of Dd ...
As before , half the sum of Bb , and Cc , multiplied by be , will be the area of the
trapezium bBCc ; after the same manner , half the sum of Cc , and Dd , multiplied
by cd , will give the area of the trapezium cCDd ; and again , half the sum of Dd ...
Página 238
Llow to enlarge or diminish a Map , or how to reduce a Map from one Scale to
another ; also the Manner of uniting separate Maps of Lands which join each
other , into one Map of any assigned Size . L AY the map you would enlarge ,
over the ...
Llow to enlarge or diminish a Map , or how to reduce a Map from one Scale to
another ; also the Manner of uniting separate Maps of Lands which join each
other , into one Map of any assigned Size . L AY the map you would enlarge ,
over the ...
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Términos y frases comunes
acres angle Answer base bearing called centre chains chord circle Co-fine Co-ſecant Co-tang column contained decimal difference Dift direct Diſt distance divided draw drawn east edge equal EXAMPLE feet field field-book figures four four-pole give given greater ground half height Hence inches laid land length less logarithm manner measure meridian method multiplied needle object observe off-sets opposite parallel parallelogram perches perpendicular plane Plate pole PROB proportion quantity quotient radius reduce remainder right angles right line root scale Secant sect side sights sine square station stationary suppose survey taken tangent theo third triangle triangle ABC true turn variation whence whole
Pasajes populares
Página 32 - 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 199 - ... that triangles on the same base and between the same parallels are equal...
Página 94 - 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.
Página 23 - Four quantities are said to be in proportion when the product of the extremes is equal to that of the means : thus if A multiplied by D, be equal to B multiplied by C, then A is said to be to B as C is to D.
Página 95 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 37 - ABDE+ACGF the sum of the squares —BKLH-\-KCML, the sum of the two parallelograms or square BCMH; therefore the sum of the squares on AB and AC is equal to the square on BC.
Página 24 - Things that are equal to one and the same thing, are equal to each other. 2. Every whole is greater than its part. % 3. Every whole is equal to all its parts taken together. 4 If to equal things, equal things be added, the whole will be equal. 5. If from equal things, equal things be deducted the remainders will be equal.
Página 36 - XIII. •All parallelograms on the same or equal bases and between the same parallels...
Página 182 - VI. To find the content of a triangular piece of ground, Multiply the base by half the perpendicular, or the perpendicular by half the base ; or take half the product of the base into the perpendicular. The reason hereof is plain, from cor.
Página 35 - Triangles upon equal bases, and between the same parallels, are equal to one another.