A Concise System of Mathematics ... |
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Results 1-5 of 45
Page 11
... Diagonal Rod ,. ib . Of the Varieties of Casks , ... .234 To reduce a Cask to a Cylinder ,. 236 Table for reducing Casks to Cylinders ..... .237 To gauge a Cask by the middle Diameter , ..... 238 To gauge a Cask without the middle ...
... Diagonal Rod ,. ib . Of the Varieties of Casks , ... .234 To reduce a Cask to a Cylinder ,. 236 Table for reducing Casks to Cylinders ..... .237 To gauge a Cask by the middle Diameter , ..... 238 To gauge a Cask without the middle ...
Page 82
... diagonal for each unit ; or count 6 parallels on the diagonal through 4 , and bring the foot on the large 5 , along that division to the sixth parallel . PROB . IX . To divide a straight line AB in any pro- portions , as of 3 , 5 , 7 ...
... diagonal for each unit ; or count 6 parallels on the diagonal through 4 , and bring the foot on the large 5 , along that division to the sixth parallel . PROB . IX . To divide a straight line AB in any pro- portions , as of 3 , 5 , 7 ...
Page 84
... diagonal scale , and lay that ex- tent from A to B. Take 186 from the scale , and from A describe an arc , and with 257 for a radius , from B cut that arc in C , and join AC and CB . B PROB . XX . To make a triangle , of which two sides ...
... diagonal scale , and lay that ex- tent from A to B. Take 186 from the scale , and from A describe an arc , and with 257 for a radius , from B cut that arc in C , and join AC and CB . B PROB . XX . To make a triangle , of which two sides ...
Page 86
... diagonal from their intersection 473 , and the perpendiculars upon it from their extremities 188 and 234 feet . Make AC 473 , and draw parallels to it on different sides at the distances of 188 and 234 , as BE and DF . With 268 for a ...
... diagonal from their intersection 473 , and the perpendiculars upon it from their extremities 188 and 234 feet . Make AC 473 , and draw parallels to it on different sides at the distances of 188 and 234 , as BE and DF . With 268 for a ...
Page 87
... diagonals 438 , 385 , 452 , and 537 , and the perpendiculars upon the diagonals from the angles 183 , 248 , 315 , 212 , and 274 ; to make the figure . First , by Prob . XXVI . , make the qua- drilateral ABFG , of which AB is 234 , BG ...
... diagonals 438 , 385 , 452 , and 537 , and the perpendiculars upon the diagonals from the angles 183 , 248 , 315 , 212 , and 274 ; to make the figure . First , by Prob . XXVI . , make the qua- drilateral ABFG , of which AB is 234 , BG ...
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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...