## The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |

### From inside the book

Page 43

Acute and obtuse angled triangles are in general called oblique angled triangles in all which any side may be called the

Acute and obtuse angled triangles are in general called oblique angled triangles in all which any side may be called the

**base**, and the other two the sides . Ence DI the the B. 40. The perpendicular height of a triangle is aline drawn ... Page 50

B = E and C = F : and the

B = E and C = F : and the

**base**of the one BC , will be equal to EF , that of the other . If the triangle ABC be supposed to be laid on the triangle DEF , so as to make the points A and B coincide with Dand E , which they will do ... Page 55

Hence also the triangle ABD on the same

Hence also the triangle ABD on the same

**base**AB , and between the same parallels with the parallelogram ABCD , is half the parallelogram . Cor . 3. It is hence also plain , that the opposite sides of a parallelogram are equal ; for it ... Page 56

Hence the hypothenuse of a right - angled triangle may he found by having the sides ; thus , the square root of the sum of the squares of the

Hence the hypothenuse of a right - angled triangle may he found by having the 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 ... Page 58

all the small triangles Agc , gCB , BCh , & c . will be equal to each other ; and will be as many as the parts into which their

all the small triangles Agc , gCB , BCh , & c . will be equal to each other ; and will be as many as the parts into which their

**bases**were divided ; therefore it will be as the sum of the parts in one**base**, is to the sum of those in ...### What people are saying - Write a review

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### Common terms and phrases

acres altitude angle Answer arch base bearing called centre chains chord circle Co-sec Co-sine Co-tang column compasses contained decimal degrees Dep Lat difference direct Dist distance divided divisions draw drawn east edge equal EXAMPLE extended feet figures fixed four fourth give given glass greater ground half hand height Hence Horizon inches laid land Lat Dep latitude length less logarithm manner marked measure meridian method minutes multiplied natural object observed opposite parallel perches perpendicular plane pole PROB proportion Quadrant quotient radius reduce remainder right angles right line root rule scale Secant sect side sights sine square station Sun's suppose survey taken Tang tangent theo third triangle true whole

### Popular passages

Page 38 - 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.

Page 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.

Page 199 - RULE. From half the sum of the three sides subtract each side severally.

Page 106 - 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.

Page 27 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus BA is the versed sine of the arc AG.