# The Builder's Practical Guide: Containing a Complete Explanation of the Principles of Science, as Applied to Very Branch of Building ...: To which is Added an Appendix, Containing an Easy and Complete Introduction to the Scientific Principles of Geometry and Mensuration ...

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Page 676 - The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides.
Page 666 - Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio.
Page 683 - MULTIPLY the radius, or half the diameter, by half the arc of the sector, for the area. Or, multiply the whole diameter by the whole arc of the sector, and take -f .of the product.
Page 683 - Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector. Then...
Page 682 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.
Page 679 - Sides 5 6 7 8 9 10 To find the area of a polygon: Multiply the sum of the sides (perimeter of the polygon) by the perpendicular dropped from its center to one of its sides, and half the product will be the area. This rule applies to all regular polygons. FIGURE 3.57 Polygons.
Page 688 - To 3 times the square of the radius of the segment's base, add the square of its height ; then multiply the sum by the height, and the product by -5236, for the content.
Page 566 - The heart of a tree is never in its centre, but always nearer to the north side, and the annual coats of wood are thinner on that side. In conformity with this, it is a general opinion of carpenters that timber is stronger whose annual plates are thicker.
Page 629 - Indeed the greatest part of the mystery of painting stucco, so as to stand or wear well, certainly consists in attending to these observations ; for whoever has observed the expansive power of water, not only in congelation, but also in evaporation, must be well aware that when it meets with any foreign body obstructing its escape, as oil painting for instance, it immediately resists it, forming a number of vesicles or particles, containing an acrid...
Page 588 - ... lower floor : divide the rod into as many equal parts as there are to be risers, then, if you have a level surface to work upon below the stair, try each of the risers as you go on, and this will prevent any excess or defect ; for any error, however small, when multiplied, becomes of considerable magnitude, and even the difference of an inch in the last riser...