A Treatise on Surveying, Containing the Theory and Practice: To which is Prefixed a Perspicuous System of Plane Trigonometry. The Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples. Particularly Adapted to the Use of SchoolsKimber & Richardson, 1814 - 346 Seiten |
Im Buch
Ergebnisse 1-5 von 27
Seite 42
... base of an isosceles triangle are equal to one another . 9. If one side of a triangle be produced , the external posite angles thus the external angle CBD , of the angle will be equal to the sum of the two internal and op- 42 PLANE ...
... base of an isosceles triangle are equal to one another . 9. If one side of a triangle be produced , the external posite angles thus the external angle CBD , of the angle will be equal to the sum of the two internal and op- 42 PLANE ...
Seite 43
... base , that is , upon the same part of the circumference : thus the angle BEC is double of the angle BAC . Fig . 38 . 11. The angles in the same segment of a circle are equal to one another : thus the angle BAD is equal to the angle BED ...
... base , that is , upon the same part of the circumference : thus the angle BEC is double of the angle BAC . Fig . 38 . 11. The angles in the same segment of a circle are equal to one another : thus the angle BAD is equal to the angle BED ...
Seite 45
... the side BC . ❤ 2. In the right - angled triangle ABC , are given the hy . pothenuse AC = 480 , and the angle A 53 ° 8 ' . To find From 90 ° subtract the angle A = 53 ° the base AB and perpendicular BC . PLANE TRIGONOMETRY . 45.
... the side BC . ❤ 2. In the right - angled triangle ABC , are given the hy . pothenuse AC = 480 , and the angle A 53 ° 8 ' . To find From 90 ° subtract the angle A = 53 ° the base AB and perpendicular BC . PLANE TRIGONOMETRY . 45.
Seite 47
... base AB = 53.66 , to find the perpendicular BC and hypothenuse AC . Ans . BC = 82 and AC 98 . = = 5. In the right - angled triangle ABC , are given the an- gle A 39 ° 10 ′ , and the perpendicular BC 407.37 , to find the base AB and ...
... base AB = 53.66 , to find the perpendicular BC and hypothenuse AC . Ans . BC = 82 and AC 98 . = = 5. In the right - angled triangle ABC , are given the an- gle A 39 ° 10 ′ , and the perpendicular BC 407.37 , to find the base AB and ...
Seite 51
... base AB = 232 ; to find the angles A and C , and the perpendicular BC . Ans . A = 31 ° 28 ' , C = 58 ° 32 ′ and BC = 142 . 5. In a right angled triangle ABC , the hypothenuse AC is 150 and one side BC 69 ; required the angles and other ...
... base AB = 232 ; to find the angles A and C , and the perpendicular BC . Ans . A = 31 ° 28 ' , C = 58 ° 32 ′ and BC = 142 . 5. In a right angled triangle ABC , the hypothenuse AC is 150 and one side BC 69 ; required the angles and other ...
Andere Ausgaben - Alle anzeigen
A Treatise on Surveying: Containing the Theory and Practice: To Which Is ... John Gummere Keine Leseprobe verfügbar - 2016 |
Beliebte Passagen
Seite 2 - An Act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies during the times therein mentioned." And also to the act, entitled " An Act supplementary to an Act, entitled, " An Act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies during the time therein mentioned," and extending the benefits thereof to the arts of designing, engraving, and...
Seite 97 - To find the Area of a Triangle when the Three Sides are given. Rule. — From half the sum of the three sides subtract each side separately.
Seite 43 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Seite 34 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Seite 2 - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Seite 85 - A maypole, whose top was broken off by a blast of wind, struck the ground at 15 feet distance from the foot of the pole: what was the height of the whole maypole, supposing the broken piece to measure 39 feet in length ? Ans.
Seite 25 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Seite 26 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Seite 91 - PROBLEM I. To find the area of a parallelogram; whether it be a square, a rectangle, a rhombus, or a rhomboides. RULE.* Multiply the length by the perpendicular height, and the product will be the area.
Seite 96 - If one side and the angles are given ; then As the product of radius and the sine of the angle opposite the given side, To the product of the sines of the two other angles ; So is the square of the given side, To twice the area of the triangle. If PC (Fig.