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" ... of God to the adequate knowledge of the essence of things. All this I will explain by one example. Let there be three numbers given through which it is required to discover a fourth which shall be to the third as the second is to the first. A merchant... "
Principles of Architecture: Comprising Fundamental Rules of the Art, with ... - Page 61
by Peter Nicholson, Joseph Gwilt - 1848 - 280 pages
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The principles of architecture, Volume 1

Peter Nicholson - 1809 - 426 pages
...the third: then say, if the first term given requires the second, what will the third require? II. Multiply the second and third together, and divide...same denomination. To prove proportion^ multiply the quotient by the first term, and the product will be equal to the dividend, or the two means multiplied...
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A Complete System of Theoretical and Mercantile Arithmetic: Comprehending a ...

George G. Carey - 1818 - 602 pages
...for finding a fourth proportional to three given numbers. BULE. Multiply the second and third terms together, and divide the product by the first, and the quotient is the answer, or fourth proportional. EXAMPLE I. Required a fourth proportional to 3, 8, and 12. 3 : 8 r:...
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The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - 1826 - 176 pages
...and Proof. Invert the order of the question, and proceed as before. NB Before stating the question, the first and third terms must be reduced to the same denomination, if they are not already so, and the middle term to the lowest denomination mentioned in it. The answer...
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The Youth's Assistant in Theorhetic [sic] and Practical Arithmetic: Designed ...

Zadock Thompson - 1832 - 182 pages
...divide the product by the first, the quotient will be the answer. NOTE. — Before stating the question, the first and third terms must be reduced to the same denomination, if they are not already so, and the middle term to the lowest denomination mentioned in it. The answer...
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Mathematics for practical men

Olinthus Gilbert Gregory - 1848 - 572 pages
...the two remaining terms, and place the other on its left hand. BULE OF THREE. must be observed, that the first and third terms must be reduced to the same denomination ; and if the second term is a compound number, it should be reduced to the lowest name mentioned ;...
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The Speedy Calculator: Being a System of Arithmetic

Benjamin Naylor - 1850 - 334 pages
...third and fourth as that of the first and second, the fourth must be 4 times the third ; now if we multiply the second and third together and divide the product by the first, we get (12x8)=96-H-3=32, which is 4 times the third term. This principle is one of the most important...
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An Elementary and Practical Arithmetic

James B. Dodd - 1850 - 278 pages
...Proportioned — how found. RULE XLII. § 224. To find a FOURTH PROPORTIONAL to three given terms. 1. Multiply the second and third together, and divide the product by the first term ; the quotient will be the fourth term, in direct proportion. 2. An inverse fourth proportional...
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The young ladies' guide to practical arithmetic and book-keeping, with forms ...

G. Morrison - 1851 - 130 pages
...the other two terms as the first ; but it' less, the contrary. Multiply the second and third terms together, and divide the product by the first, and the quotient is the answer, and which is always of the same name with that to which the third term is reduced. Note 1....
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High School Arithemtic: Containing the Elementary and the Higher Principles ...

James B. Dodd - 1852 - 410 pages
...Proportional — how found. RULE XL1I. § 294. To find a FOUKTH PROPORTIONAL to three given terms. \. Multiply the second and third together, and divide the product by the first term ; the quotient will be the fourth term, iu direct proportion. 2. An inverse fourth proportional...
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High School Arithmetic

James B. Dodd - 1853 - 398 pages
...Proportional — how found. RULE XLII. § ~"-ii. To find a FOURTH PROPORTIONAL to three given terms. 1. Multiply the second and third together, and divide the product by the first term ; the quotient will be the fourth term, in direct proportion. 2. An inverse fourth proportional...
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