A briefe and short instruction of the art of musick, to teach how to make discant, of all proportions that are in use : very necessary for all such as are desirous to attaine to knowledge in the art : and may be by practice, if they can sing, soone to be able to compose three, foure, and five parts : and also to compose all sorts of canons that are usuall, by these directions of two or three parts in one, upon the plain-song /

Principally musical examples.

A treatise on the steam-engine in its various applications to mines, mills, steam navigation, railways, and agriculture with theoretical investigations respecting the motive power of heat and the proper proportions of steam-engines, elaborate tables of the right dimensions of every part and practical instructions for the manufacture and management of every species of engine in actual use,

Mode of access: Internet.

Théorie des machines à vapeur : l'ouvrage destiné à prouver l'inexactitude des méthodes en usage pour évaluer les effets ou les proportions des machines à vapeur /

Mode of access: Internet.

The relative proportions of the steam-engine: being a rational and practical discussion of the dimensions of every detail of the steam-engine.

Interleaved.

Théorie des proportions en architecture d'après l'analyse des monuments,

"Ouvrage honoré d'une souscription du Ministère de l'instruction publique et des beaux-arts."

A practical treatise on rail-roads and carriages, shewing the principles of estimating their strength, proportions, expense, and annual produce, and the conditions which render them effective, economical, and durable; with the theory, effect, and expense of steam carriages, stationary engines, and gas machines. Illustrated by four engravings and numerous useful tables.

Mode of access: Internet.

Essai sur la théorie des proportions chimiques et sur l'influence chimique de l'électricité /

Translation of v. 3 of Lärbok i kemien.

Comparison of schools with high and low proportions of poverty pupils /

Chiefly tables.

Disease prevalence among dogs and cats in the United States and Australia and proportions of dogs and cats that receive therapeutic diets or dietary supplements

Objective-To estimate disease prevalence among dogs and cats in the United States and Australia and proportions of dogs and cats that receive therapeutic diets or dietary supplements. Design-Telephone survey. Sample Population-Dog and cat owners located in 5 geographic areas. Procedures-A telephone survey was administered to dog and cat owners. Results-Of 18,194 telephone calls that were made, 1,104 (6%) were to individuals who owned at least I dog or cat and agreed to participate. Information was collected for 635 dogs and 469 cats. Only 14 (1%) respondents indicated that their pet was unhealthy, but 176 (16%) indicated that their pets had 1 or more diseases. The most common diseases were musculoskeletal, dental, and gastrointestinal tract or hepatic disease. Many owners (n = 356) reported their pets were overweight or obese, but only 3 reported obesity as a health problem in their pets. Owners of 28 (2.5%) animals reported that they were feeding a therapeutic diet, with the most common being diets for animals with renal disease (n = 5), reduced-calorie diets (5), and reduced-fat diets (4). Owners of 107 of 1,076 (9.9%) animals reported administering dietary supplements to their pets. Multivitamins (n = 53 animals), chondroprotective agents (22), and fatty acids (13) were the most common dietary supplements used. Conclusions and Clinical Relevance-Results suggest that most dogs and cats reported by their owners to have a health problem were not being fed a therapeutic diet. In addition, the rate of dietary supplement use was lower than that reported for people.

Data analysis methods in optometry Part 3: the analysis of frequencies and proportions

In some studies, the data are not measurements but comprise counts or frequencies of particular events. In such cases, an investigator may be interested in whether one specific event happens more frequently than another or whether an event occurs with a frequency predicted by a scientific model.

Statnote 39: The binomial distribution: comparing two proportions

Many populations consist of two classes only, e.g., alive or dead, present or absent, clean or dirty, infected or non-infected, and it is the proportion or percentage of observations that fall into one of these classes that is of interest to an investigator. An observation that falls into one of the two classes is considered a ‘success’ (S), and ‘p’ is defined as the proportion of observations falling into that class. If a random sample of size ‘n’ is obtained from a population, the probability of obtaining 0, 1, 2, 3, etc., successes is then given by the binomial distribution. The binomial distribution can be used as the basis of a number of statistical tests but is most useful when comparing two proportions. This statnote describes two such scenarios in which the binomial distribution is used to compare: (1) two proportions when the samples are independent and (2) two proportions when the samples are paired.

Fibonacci Series, Golden Proportions, and the Human Biology

Pythagoras, Plato and Euclid’s paved the way for Classical Geometry. The idea of shapes that can be mathematically defined by equations led to the creation of great structures of modern and ancient civilizations, and milestones in mathematics and science. However, classical geometry fails to explain the complexity of non-linear shapes replete in nature such as the curvature of a flower or the wings of a Butterfly. Such non-linearity can be explained by fractal geometry which creates shapes that emulate those found in nature with remarkable accuracy. Such phenomenon begs the question of architectural origin for biological existence within the universe. While the concept of a unifying equation of life has yet to be discovered, the Fibonacci sequence may establish an origin for such a development. The observation of the Fibonacci sequence is existent in almost all aspects of life ranging from the leaves of a fern tree, architecture, and even paintings, makes it highly unlikely to be a stochastic phenomenon. Despite its wide-spread occurrence and existence, the Fibonacci series and the Rule of Golden Proportions has not been widely documented in the human body. This paper serves to review the observed documentation of the Fibonacci sequence in the human body.