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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Σελίδα 107
... vertex ; the two sides , proceeding from the vertex , are called the legs . Prop . 1. In any triangle A B C , if one side в c be produced or drawn out ; the external an- gle A C D will be equal to the two internal oppo- site angles △ B ...
... vertex ; the two sides , proceeding from the vertex , are called the legs . Prop . 1. In any triangle A B C , if one side в c be produced or drawn out ; the external an- gle A C D will be equal to the two internal oppo- site angles △ B ...
Σελίδα 121
... vertices meeting together in a point above the base , called the vertex of the pyramid . 17. Pyramids , like prisms , take particular names from the figure of their base . 18. A cone is a round pyramid having a circular base , and is ...
... vertices meeting together in a point above the base , called the vertex of the pyramid . 17. Pyramids , like prisms , take particular names from the figure of their base . 18. A cone is a round pyramid having a circular base , and is ...
Σελίδα 122
... 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 , are equal to one ...
... 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 , are equal to one ...
Σελίδα 128
... vertex of the complete cone being the centre of the circle which will be described by the rim , or edge , of the wheel A , as it rolls upon the proposed plane . Then , it will be , as the diameter of the wheel A , is to the differ- B ...
... vertex of the complete cone being the centre of the circle which will be described by the rim , or edge , of the wheel A , as it rolls upon the proposed plane . Then , it will be , as the diameter of the wheel A , is to the differ- B ...
Σελίδα 129
... vertex of the given angle , c G , on one of the sides forming it , and to move н c till it coincides with the other ; then each of the angles , H C E , E C F , and F C G , will be a third of the angle H C G. For it is manifest , that ...
... vertex of the given angle , c G , on one of the sides forming it , and to move н c till it coincides with the other ; then each of the angles , H C E , E C F , and F C G , will be a third of the angle H C G. For it is manifest , that ...
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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.