A Concise System of Mathematics ... |
From inside the book
Results 1-5 of 89
Page 8
... circle , of which the diameter is unit , has been taken from Euler , and appears to be as simple as it can be made . New rules are given for approximating to the length of an arc of a circle , and to the area of a segment of it , which ...
... circle , of which the diameter is unit , has been taken from Euler , and appears to be as simple as it can be made . New rules are given for approximating to the length of an arc of a circle , and to the area of a segment of it , which ...
Page 10
... Circle , ... .120 Of the Ellipse , .. 131 Of the Parabola , .. .132 Of the Hyperbola , .. .134 Area of a Space , bounded on one side by a Curve Line , ........................... .135 MENSURATION OF SOLIDS . The Prism , ' . The Cylinder ...
... Circle , ... .120 Of the Ellipse , .. 131 Of the Parabola , .. .132 Of the Hyperbola , .. .134 Area of a Space , bounded on one side by a Curve Line , ........................... .135 MENSURATION OF SOLIDS . The Prism , ' . The Cylinder ...
Page 11
... Circles , to be used when the middle Area is taken , .. .226 To gauge Malt , ...... 228 To gauge Open Vessels , ... 230 To gauge Coppers , Stills , & c ... 232 Cask Gauging , .. 233 Of the Diagonal Rod ,. ib . Of the Varieties of Casks ...
... Circles , to be used when the middle Area is taken , .. .226 To gauge Malt , ...... 228 To gauge Open Vessels , ... 230 To gauge Coppers , Stills , & c ... 232 Cask Gauging , .. 233 Of the Diagonal Rod ,. ib . Of the Varieties of Casks ...
Page 77
... CIRCLE is a figure contained by a curve ABD , called the circumference , which is equally distant from a point O within it , called the centre . 16. The RADIUS AO is a straight line , drawn from the centre to the circumference . 17. The ...
... CIRCLE is a figure contained by a curve ABD , called the circumference , which is equally distant from a point O within it , called the centre . 16. The RADIUS AO is a straight line , drawn from the centre to the circumference . 17. The ...
Page 83
... circle AEC , and draw BE perpendicular E to AC . It is the mean proportional , for A DBP C AB : BE :: BE : BC . NOTE . Make AP AE , then AP or AE is a mean proportional between AC and AB ; therefore AC : AB :: AC2 : AP2 . PROB . XIV ...
... circle AEC , and draw BE perpendicular E to AC . It is the mean proportional , for A DBP C AB : BE :: BE : BC . NOTE . Make AP AE , then AP or AE is a mean proportional between AC and AB ; therefore AC : AB :: AC2 : AP2 . PROB . XIV ...
Contents
13 | |
19 | |
25 | |
32 | |
42 | |
52 | |
60 | |
62 | |
67 | |
73 | |
93 | |
99 | |
105 | |
116 | |
131 | |
137 | |
172 | |
187 | |
200 | |
207 | |
213 | |
214 | |
221 | |
228 | |
230 | |
293 | |
306 | |
312 | |
326 | |
333 | |
339 | |
346 | |
347 | |
357 | |
368 | |
378 | |
1 | |
13 | |
18 | |
36 | |
42 | |
46 | |
Common terms and phrases
9 inches ABCD angle ABC axes axis balls base breadth cask centre chord circle circumference Cosine Cotang cubic feet cubic inches curve cylinder Degrees depth diagonal diameter difference directrix distance divided divisor draw ellipse equal feet 6 inches feet long field field-book find the area fleur-de-lis fluxion foot frustum Gauge-Points girt given hyperbola hypotenuse imperial gallons inches broad logarithm mean proportional measured multiply opposite parabola parallel perches perpendicular poles PROB PROP quantity quotient radius ratio rectangle Required the area Required the content Required the height right angles right ascension RULE segment side AC solid specific gravity spherical triangle square root square yard station straight line subtract taken Tang tangent Theodolite thickness triangle ABC ullage wet inches
Popular passages
Page 30 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Page 19 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 58 - The sum of any number of terms in arithmetical progression is equal to the sum of the extremes multiplied by half the number of terms.
Page 335 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 336 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 19 - Powers of the same quantity are divided by subtracting the exponent of the divisor from that of the dividend ; the remainder is the exponent of the quotient.
Page 58 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.
Page 13 - C, indicates that the sum of A and B is to be multiplied by C ; and (A + B) -=- C, indicates that the sum of A and B is to be divided by C.
Page 130 - So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Page 141 - ... containing ten pounds avoirdupois weight of distilled water, weighed in air, at the temperature of 62...