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 Bøker Bok 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 ... - Side 35
av Robert Simson - 1806 - 518 sider
Uten tilgangsbegrensning - Om denne boken ## Plane and Solid Geometry

James Howard Gore - 1898 - 210 sider
...exterior angles is equal to twice as many right angles as the figure has sides. But by (125) the interior angles are equal to twice as many right angles as the figure has sides, less four right angles. Therefore the exterior angles alone are equal to four right angles. QED EXERCISES....
Uten tilgangsbegrensning - Om denne boken ## A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bok 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 sider
...added as corollaries to Proposition 32 by Robert Simson, who edited Euclid's text in 1756. COROLLARY 1. All the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides. Let ABODE be any rectilineal figure. Take F, any point within it, and join F to each of the angular...
Uten tilgangsbegrensning - Om denne boken ## Engineering Drawing and Design (A Text-book Of): Including Practical ...

Sidney Herbert Wells - 1900
...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),...
Uten tilgangsbegrensning - Om denne boken ## Land Surveying and Levelling

Arthur Thomas Walmisley - 1900 - 332 sider
...well-known corollary to the 32nd proposition of the first book of Euclid, which states that the summation of all the interior angles of any rectilineal figure, together with four right angles, are together equal to twice as many right angles as the figure has sides. In a traverse survey the number...
Uten tilgangsbegrensning - Om denne boken ## Surveying, as Practiced by Civil Engineers and Surveyors ...: Intended as a ...

John Whitelaw - 1902 - 516 sider
...measurements before leaving the ground, as " the sum of the interior angles of any rectilinear figure is equal to twice as many right angles as the figure has sides, less four right angles." In the case of Fig. 73, as the figure is four-sided the sum of the interior...
Uten tilgangsbegrensning - Om denne boken ## Report of the Committee of Council on Education in Scotland...[without Appendix]

1902
...that LP is 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, diminished by four right angles. 14. ABC is an equilateral triangle in which AD is drawn perpendicular...
Uten tilgangsbegrensning - Om denne boken ## Euclid, Bok 1

Euclid, Rupert Deakin - 1903 - 164 sider
...ABC and ACB double of the angle BAC. What is the size of the angle BAC ? ALTERNATIVE PROOF. Corollary 1.— All the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides. Let ABCDE be any rectilineal figure; all the interior angles of ABCDE, together with four right angles,...
Uten tilgangsbegrensning - Om denne boken ## Manual

1903
...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...
Uten tilgangsbegrensning - Om denne boken ## Mathematics, mechanics, heat

...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...
Uten tilgangsbegrensning - Om denne boken ## Interim Report of the Commissioners on Certain Parts of Primary Education ...

...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...
Uten tilgangsbegrensning - Om denne boken