Mathematics for Practical Men: Being a Common-place Book of Principles, Theorems, Rules, and Tables, in Various Departments of Pure and Mixed Mathematics, with Their Application; Especially to the Pursuits of Surveyors, Architects, Mechanics, and Civil EngineersE. L. Carey and A. Hart, 1834 - 427 σελίδες |
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... distances of objects by approximate and mechanical methods CONIC SECTIONS . Definitions , properties of the ellipse Properties of the hyperbola and parabola PAGE - 104 - 105 - 106 - 109 - 112 - 119 - 123 - 133 · - 143 · · 150 General ...
... distances of objects by approximate and mechanical methods CONIC SECTIONS . Definitions , properties of the ellipse Properties of the hyperbola and parabola PAGE - 104 - 105 - 106 - 109 - 112 - 119 - 123 - 133 · - 143 · · 150 General ...
Σελίδα 108
... distance A o of the right angle , from the middle of the hypothenuse is equal to half the hypothenuse . 16. In a right - angled triangle , the square of the hypothenuse is equal to the sum of the squares of the two sides . 17. If the ...
... distance A o of the right angle , from the middle of the hypothenuse is equal to half the hypothenuse . 16. In a right - angled triangle , the square of the hypothenuse is equal to the sum of the squares of the two sides . 17. If the ...
Σελίδα 116
... distances of A the sections from a , will be equal to the rectan- gle of the diameter and A P D D P the distance of the perpendicular from A ; ABXAC = APX AD . Also , A B X A C = A K2 . D d 31. In a circle E D F whose centre is c , and ...
... distances of A the sections from a , will be equal to the rectan- gle of the diameter and A P D D P the distance of the perpendicular from A ; ABXAC = APX AD . Also , A B X A C = A K2 . D d 31. In a circle E D F whose centre is c , and ...
Σελίδα 120
... distance . 6. A solid angle is that which is made by three or more plane angles , meeting each other in the same point . 7. Similar solids , contained by plane figures , are such as have all their solid angles equal , each to each , and ...
... distance . 6. A solid angle is that which is made by three or more plane angles , meeting each other in the same point . 7. Similar solids , contained by plane figures , are such as have all their solid angles equal , each to each , and ...
Σελίδα 122
... distances from the vertex . 9. In a cone , any section parallel to the base is a circle ; and this section is to the base as the squares of their distances from the vertex . 10. All pyramids and cones , of equal bases and altitudes ...
... distances from the vertex . 9. In a cone , any section parallel to the base is a circle ; and this section is to the base as the squares of their distances from the vertex . 10. All pyramids and cones , of equal bases and altitudes ...
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arch avoirdupois axis axle balance balance spring base body boiler bridge canal catenary centre of gravity circle circumference column cord cosec cosine cube cubic cubic foot curve cycloid cylinder described diameter direction distance ditto divided draw drawn elastic force ellipse engine equal equation feet figure fluid foot fraction frustrum given Hence horizontal horse hyperbola inches isometrical length lever logarithms London Bridge means measure motion move multiply nearly parabola parallel parallelogram pendulum perpendicular pipe piston placed plane pounds pressure proportion pulley pump quantity radius ratio rhombus right angles right line root ruler sails secant side sine solid specific gravity square steam Suppose surface tangent tion triangle tube valve velocity vertex vertical vessel vibration Vulgar Fractions weight wheel whole
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Σελίδα 10 - Yard, when compared with a Pendulum vibrating Seconds of Mean Time in the Latitude of London in a Vacuum at the Level of the Sea is in the proportion of Thirty-Six Inches to Thirty-Nine Inches and one thousand three hundred and ninety-three ten-thousandth Parts of an Inch...
Σελίδα 11 - Mile {1 Degree of a Great Circle of the Earth An Inch is the smallest lineal measure to which a name is given, but subdivisions are used for many purposes. Among mechanics the Inch is commonly divided into eighths. By the officers of the revenue, and by scientific persons, it is divided into tenths, hundredths, &c.
Σελίδα 14 - MEASURE OF TIME. 60 Seconds = 1 Minute 60 Minutes = 1 Hour 24 Hours = 1 Day 7 Days = 1 Week 28 Days = I Lunar Month 28, 29, 30, or 31 Days = 1 Calendar Month 12 Calendar Months...
Σελίδα 41 - The mean proportional between two numbers is equal to the square root of their product.
Σελίδα 42 - That is, in any proportion, either extreme is equal to the product of the means divided by the other extreme; and either mean is equal to the product of the extremes divided by the other mean.
Σελίδα 60 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Σελίδα 21 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Σελίδα 249 - ... the rod, so as to occasion the clock to go fast with heat, some mercury must be taken out of the vessel, so as to shorten the column. And thus may the expansion and contraction of the quicksilver in the glass be made exactly to balance the expansion and contraction of the pendulum rod, so as to preserve the distance of the centre of oscillation from the point of suspension invariably the same.
Σελίδα 14 - CIRCLE. 60 Seconds = 1 Minute. 60 Minutes = 1 Degree. 30 Degrees = 1 Sign. 90 Degrees = 1 Quadrant. 360 Degrees, or 12 Signs = 1 Circumference. Formerly the subdivisions were carried on by sixties ; thus, the second was divided into 60 thirds, the third into 60 fourths, &c.
Σελίδα 42 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.