## A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of the Nature and Use of Logarithms. Being the Second Part of A Course of Mathematics, Adapted to the Method of Instruction in the American Colleges ... |

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added addition applied arithmetical complement base becomes beginning calculation called carried centre circle common considered construction cosecant Cotangent decimal describe difference distance divided division Draw drawn equal equation errour exponents Expressions extend factors figures four fourth fraction given given angle given side gives gles greater half hand hypothenuse increases latter length less line of chords lines of sines loga logarithm manner measure method minute multiplied necessary negative obtained obtuse opposite performed perpendicular portions positive principle proportion quadrant quantity quotient radius reach reduced remaining right angled triangle rithms root rule scale secant side similar sines and cosines square Substituting subtracting supplement tables tabular taken taking tangent term theorem third tion Trigonometry units whole

### Popular passages

Page 66 - 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 40 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.

Page 103 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.

Page 47 - ... at the head of the column, take the degrees at the top of the table, and the minutes on the left; but if the title be at the foot of the column, take the degrees at the bottom, and the minutes on the right.

Page 37 - With these the learner should make himself perfectly familiar. 82. The SINE of an arc is a straight line drawn from one end of the arc, perpendicular to a diameter which passes through the other end. Thus BG (Fig.

Page 114 - 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. By Theorem II. we have a : b : : sin. A : sin. B.

Page 35 - 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...

Page 70 - ... angle. The third angle is found by subtracting the sum of the other two from 180° ; and the third side is found as in Case I.