Libros Libros
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.
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Página 28
por Euclid - 1835 - 513 páginas
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 páginas
...together equal to two right angles. [Axiom 1. Wherefore, if a side of any triangle &c. <JE». COROLLARY 1. All the interior angles of any rectilineal figure,...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,...
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An elementary treatise on geometrical drawing

John Henry Robson - 1880
...problem is the sth Proposition of Euclid's Fourth Book. 12. By Euc. I. 32, Cor. 1, it is proved that " All the Interior angles of any Rectilineal figure,..."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 .= 272.90 . -....
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(Report).

Elizabethan club - 1880
...of the acute angles at the other point, and similarly of the obtuse angles. 3. All the angles of a rectilineal figure, together with four right angles,...twice as many right angles as the figure has sides. A floor has to be laid with tiles in the form of regular figures all equal and similar ; show what...
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Nature, Volumen21

1880 - 668 páginas
...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 to a number...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1880 - 452 páginas
...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...
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A Treatise on Land-surveying: Comprising the Theory Developed from Five ...

William Mitchell Gillespie - 1880 - 570 páginas
...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. "...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - 1880 - 260 páginas
...minus two. Let ABCDEF be the given polygon ; the sum of all the interior angles A, B, C, D, E, F, is equal to twice as many right angles as the figure has sides minus two. For if from any vertex A, diagonals AC, AD, AE, are drawn, the polygon will be divided into...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 páginas
...ACB are equal (Ax. 1) to two right angles. Wherefore, if a side of any triangle be produced, &c. a ED COR. 1. — All the interior angles of any rectilineal...twice as many right angles as the figure has sides. Let ABCDE be any rectilineal figure. All the interior angles ABC, BCD, &c. together with four right...
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Practical Geometry for Second Grade Art-pupils and Private Schools

Thomas Newton Andrews - 1881 - 160 páginas
...setting off the angles at the base found thus: — In Euclid, Book I., Prop, xxxi11., it is proved that "All the interior angles of any rectilineal figure,...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...
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The practical surveyor

...four-sided rectilineal figure is equal to four right angles or three hundred and sixty degrees. 3. All the interior angles of any rectilineal figure,...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...
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