...P : Q into NXP, we must, at all events, multiply each term by N, and this will give us MXQ : NXQ = NXP : NX Q. Thus from the self-evident truth of article...for lengths. Thus an inch, a foot, a pace, a span, etc., are units. The length of any line is its ratio to the unit of length. 85. Definition. A unit...

...: Q into NXP, we must, at all events, multiply each term by JÍ, and this will give us MXQ : NXQ = NXP : NX Q. Thus from the self-evident truth of article...to the product of the extremes. 84. Definitions. A una of length is a line taken аз a standard of comparison for lengths. Thus an inch, a foot, a pace,...

...are means, a and b the first couplet, and b and d the second couplet. 6. If the means of a proportion are the same quantity, that quantity is called a mean proportional between the other two ; and the last term is a third proportional to the first term and one of the means. Thus,...

...common denominator, the result is ad = be. Thus, we have proved the When the two means of a proportion are the same quantity, that quantity is called a mean proportional between the other two quantities. Thus, in the proportion a : b = b : c, b is a mean proportional between a and...

...the product of the means is equal to the product of the extremes. When the two means of a proportion are the same quantity, that quantity is called a mean proportional between the other two quantities. Thus, in the proportion a : b = b : c, b is a mean proportional between a and...