# Elements of Geometry and Trigonometry: With Applications in Mensuration (Google eBook)

A.S. Barnes, 1886 - Geometry - 324 pages

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### Contents

 BOOK 9 Axioms 16 BOOK II 38 Problems relating to the First and Second Books 53 53 BOOK III 69 BOOK IV 82 Measurement of Areas and Proportions of Figures 88108 88 Problems relating to the Fourth Book 109113 109
 BOOK V 116 BOOK VI 126 Appendix 103164 163 Pure 165 APPLICATIONS OF GEOMETRY 211 Mensuration or Solids 289 240 Mensuration or the Round Bodies 248

### Popular passages

Page 12 - For this purpose it is divided into 360 equal parts called degrees, each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds. The degrees, minutes, and seconds are marked thus ° ' " ; and 9° 18' 16", are read, 9 degrees 18 minutes and 16 seconds.
Page 60 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Page 84 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Page 130 - ... or cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a...
Page 49 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
Page 209 - Being on a horizontal plane, and wanting to ascertain the height of a tower, standing on the top of an inaccessible hill, there were measured, the angle of elevation of the top of the hill 40°, and of the top of the tower 51° ; then measuring in a direct line 180 feet farther from the hill, the angle of elevation of the top of the tower was 33° 45' ; required the height of the tower.
Page 30 - The perpendicular is the shortest straight line that can be drawn from a given point to a given straight line; and...
Page 70 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Page 12 - For the purpose of measuring angles, the circumference is divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes; each minute into 60 equal parts, called seconds.
Page 59 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.

### References from web pages

Free Books > Computers & Internet > Web Development > HTML ...
Free Books > Computers & Internet > Web Development > HTML, Graphics, & Design > Web Graphics > Elements Of Geometry And Trigonometry
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The Online Books Page: Elements of Geometry and Trigonometry, by ...
Link: frame- and javascript-dependent page images at Cornell · Stable link here: http://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp21963 ...
onlinebooks.library.upenn.edu/ webbin/ book/ lookupid?key=olbp21963

No. 472: Legendre's Math Text
About an old geometry text at the Battle of Charleston
www.uh.edu/ engines/ epi472.htm

JSTOR: American Contributions to Mathematical Symbolism
American Contributions to Mathematical Symbolism. Florian Cajori. The American Mathematical Monthly, Vol. 32, No. 8, 414-416. Oct., 1925. ...

Collection of Early American Mathematics Books
Collection of Early American Mathematics Books. The collection is in the Bancroft Library at the University of California in Berkeley. ...
www.math.gatech.edu/ ~hill/ publications/ books/ booklist.html

Elements of geometry and trigonometry de Davies Charles, Libro Usado
Compra el libro Elements of geometry and trigonometry de Davies Charles
www.buscalibros.cl/ libro.php?libro=220992

Amy Ackerberg-Hastings
Chapter Five. The Two Circles Will Touch Each Other Internally:. Charles Davies at the Art and Business of Teaching Geometry. Ò[W]ith scientific attainments ...
www.math.usma.edu/ people/ Rickey/ dms/ DeptHeads/ Davies%20by%20Amy%20Ackerberg-Hastings.rtf

Earliest Known Uses of Some of the Words of Mathematics (C)
CALCULUS. In Latin calculus means "pebble." It is the diminutive of calx, meaning a piece of limestone. The counters of a Roman abacus were originally made ...
members.aol.com/ jeff570/ c.html