Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sidef. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by drawing... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 39
by Robert Simson - 1806 - 518 pages
Full view - About this book

Manual

1903 - 898 pages
...2 and 2A you may take which you please; but only one. So also of questions 3 and 3 A.] 1. Show that all the interior angles of any rectilineal figure...twice as many right angles as the figure has sides. A BCD is a quadrilateral figure, and the angles at A, B, C and D are bisected. Straight lines are drawn...
Full view - About this book

Mathematics, mechanics, heat

American School (Chicago, Ill.) - Engineering - 1903 - 392 pages
...ABCDEF oe the given polygon. To prove that the sum of the interior angles A, B, C, D, E, and F, is equal to twice as many right angles as the figure has sides minus two. If from any vertex as A, diagonals AC, AD, AE, are drawn, the polygon will be divided into...
Full view - About this book

Interim Report of the Commissioners on Certain Parts of Primary Education ...

New South Wales. Commission on primary, secondary, technical, and other branches of education - Education - 1903 - 634 pages
...that LP ie less than LM. 3. Prove that the sum of the interior angles of any rectilineal figure is equal to twice as many right angles as the figure has sides, dimished by four right angles. ABC is an equilateral triangle in which AD is drawn perpendicular to...
Full view - About this book

Elementary Plane Geometry: Inductive and Deductive

Alfred Baker - Geometry - 1903 - 154 pages
...From the result reached in the previous question, show that all the interior angles of any polygon are equal to twice as many right angles as the figure has angles (or sides), less four right angles. 5. How many right angles is the sum of all the angles in...
Full view - About this book

The Colliery Manager's Handbook

Caleb Pamely - 1904 - 1240 pages
...tested by Euclid, for, " The sum of all the interior angles of any rectilinear figure, together with 4 right angles, are equal to twice as many right angles as the figure has sides." This is not so thorough a test as the plotting, because it checks only the angles taken and not the...
Full view - About this book

A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...angles at F, which are equal to four right angles. I. 15, Cor. Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right COROLLARY 2. If the sides of a rectilineal figure, which has no re-entrant angle, are produced in order,...
Full view - About this book

A Treatise on Surveying, Volume 1

Reginald Empson Middleton - Surveying - 1904 - 332 pages
...angles as the figure has sides. The sum of the ' exterior ' angles diminished by four right angles is equal to twice as many right angles as the figure has sides. The sum of the ' differences of latitude ' being ' northings,' is equal to the sum of those which are...
Full view - About this book

Introduction to Geometry: A Manual of Exercises for Beginners

William Schoch - Geometry - 1904 - 152 pages
...of a polygon without measuring them ? Exercise 33. If the sum of the interior angles of a polygon is equal to twice as many right angles as the figure has sides less four right angles, determine the sum of the interior angles of : 1. A six-sided polygon, or hexagon....
Full view - About this book

A text-book of engineering drawing and design

Sidney Herbert Wells - Machine design - 1905 - 246 pages
...depends upon Corollary I. of Euclid i., 32, which says, that " the interior angles of any straight lined figure together with four right angles are equal to...twice as many right angles as the figure has sides." The most common of the regular polygons used in engineering designs are the pentagon (five-sided),...
Full view - About this book

Text Book of Topographical and Geographical Surveying

C. F. Close - Surveying - 1905 - 378 pages
...together with the line AB form an enclosed figure, and the sum of all the interior angles should be equal to twice as many right angles as the figure has sides, less four right angles. We thus have a check on the observed horizontal angles. It should be carefully...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF