| William Mitchell Gillespie - 1880 - عدد الصفحات: 524
...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. "... | |
| Thomas Newton Andrews - 1881 - عدد الصفحات: 160
...— 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...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... | |
| 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...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... | |
| 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...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... | |
| 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...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.... | |
| 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...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... | |
| ...In corollaries to the same proposition it is shown that all the internal angles of any rectilineal **figure, together with four right angles, are equal...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... | |
| 1882
...triangle are equal to two right 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... | |
| Marianne Nops - 1882
...two-thirds of a 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... | |
| Joseph Hughes - 1883
...generally understood abbreviations for words may be used.] 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 sides.** See Corollary to Euclid I. 32. If the figure be equiangular and four interior angles be equal to seven... | |
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