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

### Dentro del libro

Resultados 1-5 de 5

Página 46

Hence the

60 degrees on the line of chords . THEOREM XVI . If in two triangles ABC , abc ,

all the angles of one be each respectively equal to all the angles of the other ...

Hence the

**radius**, from whence the lines on any scale are formed , is the chord of60 degrees on the line of chords . THEOREM XVI . If in two triangles ABC , abc ,

all the angles of one be each respectively equal to all the angles of the other ...

Página 52

THEOREM XXIV . Let DHB be a quadrant of a circle described by the

HB an drc of it , and DH its complement ; HL or FC the sine , FH or CL its co - sine

, BK its tangent , DI its co - tangent ; CK ils secant , and CI its co - secant . Fig .

THEOREM XXIV . Let DHB be a quadrant of a circle described by the

**radius**CB ;HB an drc of it , and DH its complement ; HL or FC the sine , FH or CL its co - sine

, BK its tangent , DI its co - tangent ; CK ils secant , and CI its co - secant . Fig .

Página 84

If one leg AB be made the

described ; then BC is the tangent , and AC is the secant of the angle A , by def .

24 and 25. fig . 2 . 3. If BC be made the

the ...

If one leg AB be made the

**radius**, and with it , on the point A , an arc bedescribed ; then BC is the tangent , and AC is the secant of the angle A , by def .

24 and 25. fig . 2 . 3. If BC be made the

**radius**, and an arc be described with it onthe ...

Página 85

Plate V. the angle A in the tables , to the length of BC , ( or sine of the same angle

, in the circle , whose

represented by making either leg the

...

Plate V. the angle A in the tables , to the length of BC , ( or sine of the same angle

, in the circle , whose

**radius**is AC . ) In like manner , the tangents and secantsrepresented by making either leg the

**radius**, will be proportional to the tangents...

Página 87

Plate V. From these proportions it may be observed ; that , to find a side , when

the angles and one side are given , any side may be made the

an angle , one of the given sides must be made the

...

Plate V. From these proportions it may be observed ; that , to find a side , when

the angles and one side are given , any side may be made the

**radius**: and to findan angle , one of the given sides must be made the

**radius**. So that in the 1st , 2d...

### Comentarios de la gente - Escribir un comentario

No encontramos ningún comentario en los lugares habituales.

### 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.