Plane trigonometry. [With] Solutions of examples. Appendix &c., to adapt the Key to the 2nd ed |
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Plane trigonometry. [With] Solutions of examples John William Colenso (bp. of Natal.) Volledige weergave - 1851 |
Veelvoorkomende woorden en zinsdelen
1+tan a+b+c a²+b² ABCD algebraical angle BAC Asin bisecting centre chord circular measure circumference circumscribing circle cos(A cos(A+B cos² cos²A cos³ cos³A cosB cose cosec cosine cosẞ cota cotangent cotß diameter distance drawn equal equation expression factors feet figure formula height hence inscribed circle length logarithms mantissa miles nearly negative number of sides observed perp perpendicular polygon positive Prove quadrant r₁ radii radius Ratios regular polygon right angles sec² secant shew sin A sin sin A+ sin0 sin² sin³ sin³0 sin³A sinA sinB sinn sino sinẞ square subtended tan-¹ tan0 tan¹ tan² tan³ tana tangent tower triangle ABC Trigonometry vers whence yards π π
Populaire passages
Pagina 78 - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Pagina 5 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Pagina 119 - Ratios, than the numbers themselves. As the sines and cosines of all angles, and the tangents of angles less than 45°, are less than unity, their logarithms are negative ; and in order to avoid the introduction and use of negative quantities, the logarithms of the Trigonometrical Ratios are all increased by the addition of the number 10, and are so registered in the tables of log-sines, log-cosines, &c. In the adaptation...
Pagina 1 - The periphery of every circle, whether great or small, is supposed to be divided into 360 equal parts called degrees, each degree into 60 minutes, each minute into 60 seconds, each second into 60 thirds, &,c. marked with the characters °,','','", &c. Thus, 32° 24...
Pagina 111 - Although the mantissae are only given in the Tables for sequences of five figures, yet they may be readily found for sequences of six or seven figures by the following considerations.
Pagina 102 - At the top of a tower, 108 feet high, the angles of depression of the top and bottom of...
Pagina 104 - If, therefore, a number is an exact power of 10, its logarithm is a whole number. If a number is not an exact power of 10, its logarithm will not be a whole number, but will be made up of an entire part plus a fractional part, which is generally expressed decimally. The entire part of the logarithm is called the characteristic ; the decimal part is called the mantissa.
Pagina 57 - The shadows of two vertical walls, which are at right angles to each other, and are a and a...
Pagina 129 - Elements of. (The parts read in the University of Cambridge) from the Text of Dr. Simson, with a large collection of Geometrical Problems, selected and arranged under the different Books. Designed for the use of Schools. By the Rev. JW COLENSO,, AM, late Fellow of St.