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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. "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Σελίδα 308
των John Playfair - 1819 - 317 σελίδες
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A Treatise on Land-surveying: Comprising the Theory Developed from Five ...

William Mitchell Gillespie - 1880 - 540 σελίδες
...proposition of Geometry, that in any figure bounded by straight lines, the sum of all the interior angles is equal to twice as many right angles, as the figure has sides less two ; since the figure can be divided into that number of triangles. Hence this common rule. "...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 σελίδες
...<JE». COROLLARY 1. 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 side*. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides,...

Practical Geometry for Second Grade Art-pupils and Private Schools

Thomas Newton Andrews - 1881 - 168 σελίδες
...is proved 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." If we have to describe a pentagon on the base AB, we must first calculate the angles at the base. Thus...

The practical surveyor

Thomas Holloway (surveyor.) - 1881 - 132 σελίδες
...sixty degrees. 3. 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. Although further systems of proof could easily be quoted, I consider the foregoing quite sufficient...

Guide to preliminary army examination

John Gibson - 1881 - 302 σελίδες
...opposite to it. 3. 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. 4. Describe a parallelogram that shall be equal to a given triangle BCD, and have one of its angles...

Class lessons on Euclid

Marianne Nops - 1882 - 278 σελίδες
...right angle or 60°. III. All the interior angles of any rectilineal figure added to four right angles are equal to twice as many right angles as the figure has sides. Now, any figure can be divided into as many triangles as it has sides by drawing lines from each of...

The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 σελίδες
...referred to. 5. 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. 6. The opposite sides and angles of a parallelogram are equal ; and the diameter bisects the parallelogram....

The Competitor, Τόμοι 1-2

1882 - 486 σελίδες
...it is shown that all the internal angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides ; also, that all the external angles of any rectilineal figure formed by producing the sides in the...

The Cambridge Examiner, Τόμος 2

1882 - 498 σελίδες
...every respect. 4 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. 5. Equal triangles upon equal bases in the same straight line and towards the same parts are between...

Gibson's London matriculation guide, by J. Gibson [and others].

1882 - 376 σελίδες
...angles; and that all the interior angles of any rectilineal n'gure, together with four right angles, are equal to twice as many right angles as the figure has sides. 3. If the square described upon one of the sides of a triangle is equal to the squares described upon...




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