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" Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. "
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books - Σελίδα 56
των Euclid - 1765 - 464 σελίδες
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880
...a circle, and by a straight line placed in a circle. 2. 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. 3. If the square described on one side of a triangle be equal to the squares described on the...

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

Isaac Todhunter - 1880 - 400 σελίδες
...right angles as the figure has sides. But, by the foregoing Corollary all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. Therefore all the interior angles of the figure, together with all its exterior angles, are...

An elementary treatise on geometrical drawing

John Henry Robson - 1880
...Fourth Book. 12. By Euc. I. 32, Cor. 1, it 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, therefore, we suppose the polygon to have n sides, All its interior angles + 4.90 .=...

Nature, Τόμος 21

Sir Norman Lockyer - 1880
...the flat angle we may take Theorem XXVI. of the syllabus, that the interior angles of any polygon, together with four right angles, are equal to twice as many right angles as the figure has sides. In the new notation we would say that the sum of the interior angles of the polygon is equal...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1880 - 443 σελίδες
...is the complement of the other. PROPOSITION XXVIII. THEOREM. All the interior angles of a polygon, together with four right angles, are equal to twice as many right angles as the figure IMS sides. Let ABCDE be any polygon ; then all its interior angles A, B, C, D, E, together with four...

The practical surveyor

Thomas Holloway (surveyor.) - 1881
...four right angles or three hundred and 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
...greater side, or has the greater side 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...

Practical Geometry for Second Grade Art-pupils and Private Schools

Thomas Newton Andrews - 1881 - 160 σελίδες
...— In Euclid, Book I., Prop, xxxi11., it 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...

The papers set at the professional preliminary examination

College of preceptors - 1882
...for the demonstration of which this one is 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...

The Cambridge Examiner, Τόμος 2

1882
...also equal, the triangles must be equal in 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...




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