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" 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 sides. "
A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... - Σελίδα 215
των Thomas Malton - 1774 - 440 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Hints to Travellers: Scientific and General, Τόμος 1

Royal Geographical Society (Great Britain) - 1906 - 514 σελίδες
...together with the line AB form an enclosed figure, then 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...

A School Geometry, Μέρη 1-4

Henry Sinclair Hall - 1908 - 286 σελίδες
...GEOMETRY. COROLLARY 1. ^M <Ae interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides. Let ABCDE be a rectilineal figure of & sides. It is required to prove that all the interior angles...

Introduction and books 1,2

Euclid - 1908 - 550 σελίδες
...somewhat simpler than, Simson's. 1. The sum of the interior angles of a convex rectilineal figure is equal to twice as many right angles as the figure has sides, less four. For let one angular point A be joined to all the other angular points with which it is not...

Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - 1908 - 228 σελίδες
...angles ; and in any convex polygon the sum of the interior angles, together with four right angles, is equal to twice as many right angles as the figure has sides (Euc. I. 32, Cor.) 110 Congruence. CI — If two triangles have two sides and the included angle in...

Practical Calculations for Engineers: For the Use of Engineering Students ...

Charles E. Larard, Henry A. Golding - 1909 - 556 σελίδες
...angles. = 180' (fig. 2). FIG. 1. FIG. 2. The sum of the interior angles of any rectilineal figure is equal to twice as many right angles as the figure has sides, less 4. Thus, for example, in the irregular pentagon (fig. 3), = 2 x 5 x 90° - 4 x 90° ; FIG. 3....

College Entrance Examination Papers in Plane Geometry

1911 - 192 σελίδες
...whose altitude is 3 inches. SEPTEMBER, 1909 1. The sum of all the interior angles of any polygon is equal to twice as many right angles as the figure has sides, less four right angles. 2. The angle between two chords which intersect within a circle is measured...

Annual Report of the Department of Education of ..., Τόμος 4,Μέρος 1911;Τόμος 6

Alberta. Department of Education - 1912 - 244 σελίδες
...28—1. 6 8. Prove that 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 sides. 8 9. (a) If a straight line be bisected and produced to any point, the rectangle contained by the whole...

The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 σελίδες
...half BC. 2. Prove that the interior angles of any rectilinear figure together with four right angles are equal to twice as many right angles as the figure has sides. Find the number of sides of a regular polygon, each angle of which is equal to the sum of an angle...

Special Reports on Educational Subjects, Τόμοι 26-27

Great Britain. Board of Education - 1912 - 1044 σελίδες
...half BC. 2. Prove that the interior angles of any rectilinear figure together with four right angles are equal to twice as many right angles as the figure has sides. Find the number of sides of a regular polygon, each angle of which is equal to the sum of an angle...

The Elements of Surveying and Geodesy

William Charles Popplewell - 1915 - 268 σελίδες
...Stated precisely, " the sum of all the internal angles of a closed polygon plus four right angles is equal to twice as many right angles as the figure has sides." So that it is easy from the field notes to find the internal angle at each corner of the figure, and...




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