Elementary Trigonometry |
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Page vi
... student , and may do something to cure that inaccuracy in logarithmic work which is so often due to clumsy arrangement . In the experience of most teachers it is found extremely difficult to get boys to handle problems in Heights and ...
... student , and may do something to cure that inaccuracy in logarithmic work which is so often due to clumsy arrangement . In the experience of most teachers it is found extremely difficult to get boys to handle problems in Heights and ...
Page vii
... students who are rapidly revising the subject . We are indebted to several friends for valuable criticism and advice ; in particular , we have to thank Mr T. D. Davies of Clifton College for many useful hints , and for some in- genious ...
... students who are rapidly revising the subject . We are indebted to several friends for valuable criticism and advice ; in particular , we have to thank Mr T. D. Davies of Clifton College for many useful hints , and for some in- genious ...
Page 7
... student at first , he will gain no freedom in their use until he is able to write down from the figure any ratio at sight . In the adjoining figure , PQR is a right - angled triangle in which PQ = 13 , PR = 5 , QR = 12 . Since PQ is the ...
... student at first , he will gain no freedom in their use until he is able to write down from the figure any ratio at sight . In the adjoining figure , PQR is a right - angled triangle in which PQ = 13 , PR = 5 , QR = 12 . Since PQ is the ...
Page 9
... student who has not read the sixth Book of Euclid should not fail to notice the result arrived at , even if he is unable at this stage to understand the proof . 19. To prove that the trigonometrical ratios remain unaltered so long as ...
... student who has not read the sixth Book of Euclid should not fail to notice the result arrived at , even if he is unable at this stage to understand the proof . 19. To prove that the trigonometrical ratios remain unaltered so long as ...
Page 26
... student should be able to quote readily their numerical values . The exercise which follows will furnish useful practice . At first it will probably be found safer to make use of the accompanying diagrams than to trust to the memory ...
... student should be able to quote readily their numerical values . The exercise which follows will furnish useful practice . At first it will probably be found safer to make use of the accompanying diagrams than to trust to the memory ...
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Common terms and phrases
1+cos 1+tan² a+cos a+sin a+ß A+tan acute angle angle of elevation B+cos centre circle cos A cos cos² cos³ cosec cosine cot² cyclic quadrilateral decimal denote diff equal equation ex-central triangle Example expression feet Find the angle find the distance find the height Find the number Find the value flagstaff following identities formula fraction given log greatest angle Hence horizontal plane hypotenuse integer loga magnitude mantissa miles negative number of radians obtain pedal triangle perpendicular positive Prove the following quadrant quadrilateral quantities radian measure radius vector regular polygon right angle right-angled triangle sec² sexagesimal shew sin A sin sin sin sin sin² sin³ sine solution solve the triangle supplementary angles tan² tangent tower triangle ABC trigonometrical functions trigonometrical ratios whence Зп
Popular passages
Page 131 - ... the logarithm of a fraction is equal to the logarithm of the numerator diminished by the logarithm of the denominator...
Page 179 - From a station, B, at the base of a mountain, its summit A is seen at an elevation of 60° ; after walking one mile towards the summit, up a plane making an angle of 30° with the horizon, to another station, C, the angle BCA is observed to be 135° : find the height of the mountain in yards.
Page 350 - OF EUCLID'S ELEMENTS. Including Alternative Proofs, together with additional Theorems and Exercises, classified and arranged. By HS HALL, MA, and FH STEVENS, MA, Masters of the Military and Engineering Side, Clifton College. Gl.
Page 132 - The integral part of a logarithm is called the characteristic, and the decimal part is called the mantissa.
Page 39 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius of the circle...
Page 132 - Let N be a number whose integral part contains n digits ; then JV= JQ<il>HftiMlon . .'. log^V=(?t— l) + a fraction. Hence the characteristic is и — 1 ; that is, the characteristic of the logarithm of a number greater than unity is less by one than the number of digits in its integral part, and is positive.
Page 187 - From the top of a hill the angles of depression of two objects situated in the...
Page viii - ... equal parts, called degrees; a degree into 60 equal parts, called minutes; a minute into 60 equal parts, called seconds. Degrees, minutes, and seconds are indicated in connection with numbers by the respective symbols °, ', ". 25 degrees, 18 minutes, 34 seconds is written 25° 18
Page xi - Ratio is the relation which one quantity bears to another of the same kind, with reference to the number of times that the one is contained in the other.
Page 348 - We will not say that this is the best Elementary Algebra for school use that we have come across, but we can say that we do not remember to have seen a better. . . . It is the outcome of a long experience of schoolteaching, and so is a thoroughly practical book. All others that we have in our eye are the works of men who have had considerable experience with senior and junior students at the universities, but have had little...