## A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ... |

### Dentro del libro

Resultados 1-5 de 5

Página 103

It is then plain that AH will be the sum , and HI the

BC ; and since HB = BC , and BE perp and BE perpendicular to HC , therefore HE

= EC ( by theo . 8. sect . 1 ; ) and since BA = BI , and BD and IG parallel to AC ...

It is then plain that AH will be the sum , and HI the

**difference**of the sides AB andBC ; and since HB = BC , and BE perp and BE perpendicular to HC , therefore HE

= EC ( by theo . 8. sect . 1 ; ) and since BA = BI , and BD and IG parallel to AC ...

Página 104

In any right - lined plane triangle ABD ; the base AD , will be to the sum of the

other sides , AB , BD , as the

segments of the base , made by the perpendicular BĚ , viz . the

between ...

In any right - lined plane triangle ABD ; the base AD , will be to the sum of the

other sides , AB , BD , as the

**difference**of those sides , is to the**difference**of thesegments of the base , made by the perpendicular BĚ , viz . the

**difference**between ...

Página 105

Plate V. it is plain , that AC is the sum , and DB the

; and AE or EC , their half sum , and DE or EB their half

we add EB , we shall have AB , the greatest quantity ; and if from EC we take EB ...

Plate V. it is plain , that AC is the sum , and DB the

**difference**of the two quantities; and AE or EC , their half sum , and DE or EB their half

**difference**. Now if to AEwe add EB , we shall have AB , the greatest quantity ; and if from EC we take EB ...

Página 110

Plate V. So is the tangent of half the sum of the two unknown angles C and B to

the tangent of half their

of the angles C and B 71 ° 40 Add half their

Plate V. So is the tangent of half the sum of the two unknown angles C and B to

the tangent of half their

**difference**71 ° 40 29 ° '20 ' By Theo . 4 . To half the sumof the angles C and B 71 ° 40 Add half their

**difference**as now found 23 20 The ... Página 217

TO FIND THE

OF THE ANNEXED TABLE . This table is so contrived , that by finding therein the

given course , and a distance not exceeding 100 miles , chains , perches , or feet

...

TO FIND THE

**DIFFERENCE**OF LATITUDE AND DEPARTURE , BY THE HELPOF THE ANNEXED TABLE . This table is so contrived , that by finding therein the

given course , and a distance not exceeding 100 miles , chains , perches , or feet

...

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### Términos y frases comunes

acres angle Answer base bearing called centre chains chord circle Co-sec Co-sine Co-tang column contained decimal difference direct distance divided division draw drawn east edge equal EXAMPLE feet field field-book figures four four-pole fourth give given greater ground half height Hence inches laid land Lat Dep length less logarithm manner measure method multiplied needle object observe opposite parallel perches perpendicular plain plane Plate pole prob PROBLEM proportion quantity quotient radius reduce remainder right angles right line root scale Secant sect side sights sine square station suppose survey taken Tang tangent theo THEOREM third triangle triangle ABC true turn variation whence whole

### Pasajes populares

Página 25 - 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 207 - ... that triangles on the same base and between the same parallels are equal...

Página 40 - 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 43 - Triangles upon equal bases, and between the same parallels, are equal to one another.

Página 103 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.

Página 31 - Figures which consist of more than four sides are called polygons ; if the sides are all equal to each other, they are called regular polygons. They sometimes are named from the number of. their sides, as a five-sided figure is called a pentagon, one of six sides a hexagon, &"c.

Página 31 - ... they are called regular polygons. They sometimes are named from the number of their sides, as a five-sided figure is called a pentagon, one of. six sides a hexagon, &c. but if their sides are not equal to each other, then they are called irregular polygons, as an irregular pentagon, hexagon, &c.

Página 45 - The hypothenuse of a right-angled triangle may be found by having the other two sides ; thus, the square root of the sum of the squares of the base and perpendicular, will be the hypothenuse. Cor. 2. Having the hypothenuse and one side given to find the other; the square root of the difference of the squares of the hypothenuse and given side will be the required side.

Página 265 - As the length of the whole line, Is to 57.3 Degrees,* So is the said distance, To the difference of Variation required. EXAMPLE. Suppose it be required to run a line which some years ago bore N. 45°.

Página 32 - Things that are equal to one and the same thing are equal to one another." " If equals be added to equals, the wholes are equal." " If equals be taken from equals, the remainders are equal.