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" Angles, taken together, is equal to Twice as many Right Angles, wanting four, as the Figure has Sides. "
A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... - Σελίδα 134
των Thomas Malton - 1774 - 440 σελίδες
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Τόμος 1

Isaac Dalby - 1807
...right angles (41), constitute the interior angles of the polygon, and therefore those angles together are equal to twice as many right angles, wanting four, as the po» lyeon has sides. 44. The sum of tf-^-xterior angles (aAG, IEA, &c.) of any polygon, are equal...

The Modern Preceptor Or a General Course of Education: Containing ..., Τόμος 1

John Dougall - 1810 - 580 σελίδες
...thirds of one right angle. Puop. VIII. fig. 91. The sum of all the interior angles of a polygon is equal to twice as many right angles, wanting four, as the figure has sides. Let the figure ABCDEF, be a polygon of six sides, that is, a hexagon. From any point within it, as...

A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811
...right angles. THEOREM XIX. IN any figure whatever, the Sum of all the Inward Angles, taken together, is equal to Twice as many Right Angles, wanting four, as the Figure has Sides. Let ABCDE be any figure ; then the sum of all its inward angles, A + B + c + D + E, is equal to twice...

A Course of Mathematics: For the Use of Academies as Well as ..., Τόμος 1

Charles Hutton - 1812
...angles. THEOREM XIX. IN any figure whatever, the Sum of all the Inward Arfgles, taken together, is equal to Twice as many Right Angles, wanting four, as the Figure has Sides. Let ABCHE be any figure ; then the sum of all its inward angles, A -f- B -f. c + D + E, is equal to...

Easy Introduction to Mathematics, Τόμος 2

Charles Butler - 1814
...prop. 32. book 1. of Euclid, that all the interior angles (taken together) of every rectilineal figure are equal to twice as many right angles, wanting four, as the figure has sides, the same thing must be true of each particular kind of such figure ; as of squares, triangles, trapeziums,...

A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822
...right angles. THEOREM XIX. IN any figure whatever, the Sum of all the Inward Angles, taken together, is equal to Twice as many Right Angles, •wanting four, as the Figure has Sides. Let ABCDE be any figure ; then the sum of all its inward angles, A + B + c+ II+E, is equal to twice...

Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 576 σελίδες
...adjacent sides; as the angles a, 6, c, &c. The sum of all the inward angles of any tight-lined figure, is equal to twice as many right angles, wanting four, as the figure has sides. ' An ANGLE at the Centre of a Circle, is that whose angular poim is at the centre. An ANGLE at the...

A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - 1824 - 434 σελίδες
...formed. \ NOTE. The sum of all the interior angles of any polygon, whether regular or irregular, is equal to twice as many right angles, wanting four, as the figure has sides. PROBLEM XXVIII. To jind a mean proportionailttween two given lines. Let the given lines be AB = 32,...

Elements of geometry: Being chiefly a selection from Playfair's geometry

John Playfair - 1829 - 186 σελίδες
...right angles'. Let ABCDE be any rectilineal figure; all its interior angles A, B, C, D, E, are together equal to twice as many right angles, wanting four, as the figure has sides. For any rectilineal figure ABCDE can be divided into as many triangles as it has sides, by drawing...

The London encyclopaedia, or, Universal dictionary of ..., Τόμος 17,Μέρος 2

Thomas Curtis (of Grove house sch, Islington)
...divided into as many triangles as it has sides. 2. The angles of any polygons taken together, make twice as many right angles, wanting four, as the figure has sides. Thus, if the polygon has five' sides, the double of that is ten, from which subtracting four leaves...




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