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

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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 ... 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 ... 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. 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 ... Page 58

... have the same proportion between themselves as their

... have the same proportion between themselves as their

**bases**BA and BD . ... therefore it will be as the sum of the parts in one**base**, is to the sum of ...### 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 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 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.

Page 27 - 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 201 - RULE. From half the sum of the three sides subtract each side severally.

Page 2 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.

Page 108 - 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 2 - ... then multiply the second and third terms together, and divide the product by the first term, and the quotient will be the answer ; — in the same denomination with the third term.

Page 29 - 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.