A Treatise of Plane Trigonometry, and the Mensuration of Heights and Distances: To which is Prefixed a Summary View of the Nature and Use of Logarithms. Adapted to the Method of Instruction in Schools and Academies |
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Page 5
... Scale , VII . Trigonometrical Analysis , · Application of Trigonometry to the mensuration of heights and 4858 · 47 59 67 99 · 107 · 116 distances , Notes , • 130 · . 148 LOGARITHMS . SECTION I. NATURE OF LOGARITHMS . ART .
... Scale , VII . Trigonometrical Analysis , · Application of Trigonometry to the mensuration of heights and 4858 · 47 59 67 99 · 107 · 116 distances , Notes , • 130 · . 148 LOGARITHMS . SECTION I. NATURE OF LOGARITHMS . ART .
Page 99
... scale ; one side of which is called the Plane Scale , and the other side , Gunter's Scale . The most im- portant of these are the scales of equal parts , and the line of chords . In forming a given triangle , or any other right lined ...
... scale ; one side of which is called the Plane Scale , and the other side , Gunter's Scale . The most im- portant of these are the scales of equal parts , and the line of chords . In forming a given triangle , or any other right lined ...
Page 100
... scale is of the same nature . divisions are smaller , and are numbered from left to right . 158. In geometrical constructions , what is often required , is to make a figure , not equal to a given one , but only sim- ilar . Now figures ...
... scale is of the same nature . divisions are smaller , and are numbered from left to right . 158. In geometrical constructions , what is often required , is to make a figure , not equal to a given one , but only sim- ilar . Now figures ...
Page 101
... scale , on the line marked CHO . 160. The chord of 60 ° is equal to radius . ( Art . 95. ) In laying down or measuring an angle , therefore , an arc must be drawn , with a radius which is equal to the extent from 0 to 60 on the line of ...
... scale , on the line marked CHO . 160. The chord of 60 ° is equal to radius . ( Art . 95. ) In laying down or measuring an angle , therefore , an arc must be drawn , with a radius which is equal to the extent from 0 to 60 on the line of ...
Page 102
... scale . The sum of the two will be 140 ° . 163. Besides the lines of chords , and of equal parts , on the plane scale ; there are also lines of natural sines , tangents , and secants , marked Sin . , Tan . , and Sec .; of semitangents ...
... scale . The sum of the two will be 140 ° . 163. Besides the lines of chords , and of equal parts , on the plane scale ; there are also lines of natural sines , tangents , and secants , marked Sin . , Tan . , and Sec .; of semitangents ...
Other editions - View all
A Treatise of Plane Trigonometry, and the Mensuration of Heights and ... Jeremiah Day No preview available - 2016 |
A Treatise Of Plane Trigonometry, And The Mensuration Of Heights And ... Jeremiah Day No preview available - 2008 |
Common terms and phrases
ABCD altitude axis base breadth bung diameter calculated capacity cask centre circular sector circular segment circumference convex surface cosecant Cosine Cotang cube decimal dicular difference divided earth equal to half figure find the area find the SOLIDITY frustum given sides gles greater head diameter hypothenuse inscribed lateral surface length less line of chords logarithm measure miles MULTIPLY THE SUM number of degrees number of sides oblique parallel parallelogram parallelopiped perpen perpendicular perpendicular height plane prism PROBLEM product of half proportion pyramid quadrant quantity quotient radius regular polygon regular solids right angled triangle right cone right cylinder right prism rods root secant sector sine sphere square feet subtracted tables tabular Tang tangent term Theorem Thomson's Legendre trapezium triangle ABC Trig trigonometry ullage whole surface wine gallons zone
Popular passages
Page 39 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Page 19 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 51 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus, BA is the versed sine of the arc AG.
Page 101 - NB In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the O's through the rest of the line, to catch the eye, and to indicate that fronc '>ence the annexed first two figures of the Logarithm in the colvvran stand in the next lower line. N.
Page 47 - The circumference of every circle, whether great or small, is supposed to be divided into 360 equal parts, called degrees ; and every degree into 60 parts, called minutes ; and every minute into 60 seconds.
Page 55 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Page 4 - QUADRANT. NB The minutes in the left-hand column of each page, increasing downwards, belong to the degrees at the top ; and those increasing upwards, in the right-hand column, belong to the degrees below.
Page 12 - We have then this important property, j -f 14. The DECIMAL PART of the logarithm of any number is the same, as that of the number multiplied or divided by 10, 100, 1000, &c.
Page 34 - But the difference of two squares is equal to the product of the sum and difference of their roots.
Page 18 - ... 1.84148. 31. To find the. logarithm of a VULGAR FRACTION. From the nature of a vulgar fraction, the numerator may be considered as a dividend, and the denominator as a divisor; in other words, the value of the fraction is equal to the quotient, of the numerator divided by the denominator.