A Concise System of Mathematics ... |
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Page 85
... AC 384 , and join BC . But if one of the sides be opposite to the given angle , with 384 for a radius , from B cut ... side 297 feet , are given . A B A C B Then , Make the angle BAC 43 ° 36 ′ , and make AB 297 . if the other given angle is ...
... AC 384 , and join BC . But if one of the sides be opposite to the given angle , with 384 for a radius , from B cut ... side 297 feet , are given . A B A C B Then , Make the angle BAC 43 ° 36 ′ , and make AB 297 . if the other given angle is ...
Page 86
... sides 421 and 234 feet , and the perpendicular upon one of them , suppose the ... AC and BD , and drop the perpendicular CE . A E B PROB . XXV . To make a ... side , 112 ° and 124 ° . Make AB 194 feet , and at A make the 86 PRACTICAL ...
... sides 421 and 234 feet , and the perpendicular upon one of them , suppose the ... AC and BD , and drop the perpendicular CE . A E B PROB . XXV . To make a ... side , 112 ° and 124 ° . Make AB 194 feet , and at A make the 86 PRACTICAL ...
Page 98
... AC . Cor . 2. The sine BG of an arc AB , is half of BL , the chord of BAL the double of AB . Cor . 3. The radius is ... side , when the degrees are less than 45 ° ; but if greater , the degrees are marked at the bottom , and the minutes on ...
... AC . Cor . 2. The sine BG of an arc AB , is half of BL , the chord of BAL the double of AB . Cor . 3. The radius is ... side , when the degrees are less than 45 ° ; but if greater , the degrees are marked at the bottom , and the minutes on ...
Page 99
... sides the radius of a circle , the centre of which is at an acute angle , and ... AC is its secant . Suppose ACB any angle , and AB an are described with the ... side of C , and CH ite ousine , But the triangles CEH , CBF , being sir , CE ...
... sides the radius of a circle , the centre of which is at an acute angle , and ... AC is its secant . Suppose ACB any angle , and AB an are described with the ... side of C , and CH ite ousine , But the triangles CEH , CBF , being sir , CE ...
Page 100
... AC be radius , and A the centre , CB is the sine of A , and AB its cosine . Wherefore , R : sin . A :: AC : CB , and ... side HK 186 feet ; to find the hypotenuse GK , and the base GH . K 4 This may be wrought as the last , by first ...
... AC be radius , and A the centre , CB is the sine of A , and AB its cosine . Wherefore , R : sin . A :: AC : CB , and ... side HK 186 feet ; to find the hypotenuse GK , and the base GH . K 4 This may be wrought as the last , by first ...
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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...