F. H. Richardson's bluebook of projection (1935)

Record Details:

Something wrong or inaccurate about this page? Let us Know!

Thanks for helping us continually improve the quality of the Lantern search engine for all of our users! We have millions of scanned pages, so user reports are incredibly helpful for us to identify places where we can improve and update the metadata.

Please describe the issue below, and click "Submit" to send your comments to our team! If you'd prefer, you can also send us an email to mhdl@commarts.wisc.edu with your comments.




We use Optical Character Recognition (OCR) during our scanning and processing workflow to make the content of each page searchable. You can view the automatically generated text below as well as copy and paste individual pieces of text to quote in your own work.

Text recognition is never 100% accurate. Many parts of the scanned page may not be reflected in the OCR text output, including: images, page layout, certain fonts or handwriting.

MATHEMATICAL TERMS 705 To multiply a common fraction by a whole number it is only necessary to multiply the numerator or divide the denominator by the whole number, thus : 1 1X2 1 — X 2 = or else . 2 2 2h-2 In either case the answer is 1. To divide one common fraction by another you merely invert the divisor and proceed as in multiplication, thus : 1 1 1 4 1X4 4 2 ' 4 ~ 2 ' 1 ~2Xl" 2 To divide a common fraction by a whole number it is only necessary to multiply the denominator or divide the numerator by the whole number. Formulas, Symbols and Their Meanings A formula is what corresponds to the stenographer's "shorthand." We can say that area equals length time breadth is a formula. But if it is necessary to do that with a considerable number of formulas they would occupy a lot of space and require too much time and energy in their writing down. We therefore, to avoid this, make them shorter by employing symbols in the place of words. A "symbol" is any sign, mark or letter employed to express or represent some certain thing in a "shorthand" manner. The word area begins with a. We therefore may. with consistency, let a represent (be a symbol for) the word area. In like manner we may use "1" to represent length and "b" for breadth. We may go further, and in common practice we do, use = as the symbol for equals and X as representing times or multiplied by. Our formula, thus symbolized, becomes a = / X b which reads, in words, area equals length multiplied by