Plane Trigonometry for Colleges and Secondary SchoolsLongmans, Green, and Company, 1899 - 206 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A+B+C acute angles angle of elevation base calculated CHAPTER Checks circle circumscribing computation cos² cosec cotangent deduced definitions denoted Derive equal equation EXAMPLES expression figure Find the distance Find the height formulas fourth quadrants geometry graph graphical method Hence hypotenuse included angle initial line inverse trigonometric functions isosceles triangle law of sines Law of Tangents length logarithms M₁ M₁P₁ mathematics negative NOTE number of sides OP₁ opposite perpendicular quantity radian measure radius regular polygon relations revolve right angles right-angled triangle sec² secant Show sin² sine and cosine solution of triangles Solve ABC spherical trigonometry subtended tables tan-¹ tan² tangent terminal line theorems tion tower triangle ABC trigono trigonometric functions trigonometric ratios turning line whole number X₁
Δημοφιλή αποσπάσματα
Σελίδα 194 - The area of a regular polygon inscribed in a circle is a geometric mean between the areas of an inscribed and a circumscribed regular polygon of half the number of sides.
Σελίδα 122 - It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.
Σελίδα vii - ... facility other French books. In the Dictionary at the end, is given the meaning of every- word contained in the book. The explanatory words are placed at the end of the book, instead of at the foot of the page; by this method learners will derive considerable benefit.
Σελίδα 54 - The area of a triangle is equal to one-half the product of the base by the altitude ; therefore, if a and b denote the legs of a right triangle, and F the area, F = \ ab.
Σελίδα 21 - Prove (sin A + cos A) (tan A + cot .A) = sec A + cosec A.
Σελίδα 18 - Arcs 60 seconds (") =1 minute (') 60 minutes = 1 degree (°) 90 degrees = 1 right angle 360 degrees = 1 circle...
Σελίδα 5 - The characteristic of the logarithm of a number greater than 1 is a positive integer or zero, and is one less than the number of digits to the left of the decimal point.
Σελίδα 191 - Two observers on the same side of a balloon, and in the same vertical plane with it, are a mile apart, and find the angles of elevation to be 17° and 68° 25' respectively : what is its height ? [1836 feet.
Σελίδα 173 - AC is the side of a regular inscribed polygon of double the number of sides, namely, 2 n sides.
Σελίδα 51 - At a point 200 feet from, and on a level with the base of a tower, the angle of elevation of the top of the tower is observed to be 60° : what is the height of the tower?