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

### Dentro del libro

Resultados 1-5 de 5

Página 24

Note , When an

angular point . 10. When the lines that form the

called a right - lined

Note , When an

**angle**is expressed by three letters , the middle one is that at theangular point . 10. When the lines that form the

**angle**are right ones , it is thencalled a right - lined

**angle**, as ABC . fig . 4. If one of them be right and the other ... Página 37

Plate I. Thro ' C , let CE be drawn parallel to AB ; then since BD cuts the two

parallel lines BA , CE ; the

again , since AC cuts the same parallels , the

last . ) ...

Plate I. Thro ' C , let CE be drawn parallel to AB ; then since BD cuts the two

parallel lines BA , CE ; the

**angle**ECD = B , ( by part 3 , of the last theo . ) andagain , since AC cuts the same parallels , the

**angle**ACE = A ( by part 2. of thelast . ) ...

Página 40

Hence an

thus ADB is measured by half the arc AB , but as the arc AB is less than a

semicircle , therefore half the arc AB , or the

semicircle ...

Hence an

**angle**in a segment greater than a semicircle is less than a right**angle**;thus ADB is measured by half the arc AB , but as the arc AB is less than a

semicircle , therefore half the arc AB , or the

**angle**ADB is less than half asemicircle ...

Página 60

Having made an

as before ; lay the line A , from E to G ; the line B , from E to I ; and draw the line IG

; lay the line C , from E to H , and ( by prob . 8. ) draw HK parallel thereto , so will ...

Having made an

**angle**DEF anywise , by two infinite blank right lines , ED , EF ,as before ; lay the line A , from E to G ; the line B , from E to I ; and draw the line IG

; lay the line C , from E to H , and ( by prob . 8. ) draw HK parallel thereto , so will ...

Página 122

Let DC be a tower which cannot be approached , by means of a moat or ditch ,

nearer than B ; at B , take an

distance backward to A , which note down ; at A , take another

have ...

Let DC be a tower which cannot be approached , by means of a moat or ditch ,

nearer than B ; at B , take an

**angle**of altitude , to C : measure any convenientdistance backward to A , which note down ; at A , take another

**angle**to C ; sohave ...

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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.