# The Builder's Dictionary or Gentleman and Architect's Companion; Explaining Not Only the Terms of Art in All the Several Parts of Architecture, But Al

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## Description

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1734 edition. Excerpt: ...the Circle be inscribed wiihin the Square, I say that the Area of that Circle is equal to 7 of the Square. Suppose the Diameter of the Circle or Side of the Square to be equal to 14 Feet, and the Circumference to 44 Feet; for as 7 is to 22, so is 14, the Diameter given, to 44, the Circumference given. Demonstration. Multiply half will be 196, the Area of the the Diameter, 7 Feet, by half the Square. Circumference, 22 Feet; and the Now by the Rule of Propor Product is if4 Feet, the Area of tion: the Crcle. As 15-4, the Area of th e Circle Multiply one of the Sides of is to 196, the Area of the Square' the Square, as into itself, so is 11 to 14.' viz. 14 by 14, and the Product As for Example: Let the Diameter of a given Circle be 14, as before. 14 j6 '4 Product 196 The Diameter squared. 11 Multiplied by 196 196 1 14) 21 56 (1 54 The Area of the Circle as before 14 when h.ilf the Circumference----was multiplied into the bemi 75" Diameter. 70 Diameter. 1.000 ooo.ooo.ooo.oco. 000.000.000.000. oco.ooo. 00. Circumference. 3.14159.2653589793.23846.26433 83279.50288. Of which largeNumber, these 6 Places 3.14159, answering to the Diameter i.00000, may be sufficients r these latter Proportions; as 7 to 22, 113 to 35-5, and 1 to 3 14159, the.Read; r may be at Liberty to use which os them he pleases. I shall only add, that the hist two are the.jiiult exact, tho' the first js me must in use. Problem III. Having the Circumference of a 1 Circle, to find the 'Dium-tcr. 1 As 1 is to 318309 so is the Circumference to the Diameter. Or, as 355 is to 113, to is the Circumference to the Diameur. Or, as 22 is to 7, so is the Circumference io the Diameter.. Let Thus by both the first Proportions, the Diameter is 22.6; but by the last it falls something (hort. By...show more

## Product details

• Paperback | 178 pages
• 189 x 246 x 10mm | 327g
• Miami Fl, United States
• English
• black & white illustrations
• 1236622502
• 9781236622501