| John Fry Heather - 1890 - عدد الصفحات: 172
...one-third of two right angles, or to 60°. 63. THEOE. 6. All the interior angles of any rectilinieal **figure together with four right angles, are equal...twice as many right angles as the figure has sides** (Euc. I. 32. Cor. 1). Hence the angles of a regular polygon are each equal to the quotient obtained... | |
| Edward Albert Bowser - 1890 - عدد الصفحات: 393
...2 rt. Zs (n — 2) = 2n rt. Zs — 4 rt. Zs. Therefore, the sum of the angles of a polygon is also **equal to twice as many right angles as the figure has sides,** less four right angles. 149. COR. 2. The sum of the angles of a quadrilateral is equal to two right... | |
| James Andrew Blaikie, William Thomson - 1891
...angles are together equal to two right angles. Cor. i.— 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.** Cor. ii.— All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Caleb Pamely - 1891 - عدد الصفحات: 578
...tested by Euclid, for, " The sum of all the interior angles of any rectilinear figure, together with 4 **right angles, are equal to twice as many right angles as the figure has sides."** This is not so thorough a test as the plotting, because it checks only the angles taken and not the... | |
| Thomas Baker - 1891 - عدد الصفحات: 231
...taking the angles or measuring the lines. But since the sum of all the interior angles of a polygon is **equal to twice as many right angles as the figure has sides,** lessened by four right angles, and since the given figure has five sides, the sum of all its five interior... | |
| Euclid - 1892 - عدد الصفحات: 167
...an isosceles triangle. LE 8 118. Corollary 1. All the interior angles of a closed rectilineal figwe **together with four right angles are equal to twice as many right angles as the figure has sides.** Let ABCDE... represent any rectilineal figure. Take a point P within the figure. Join P to each angular... | |
| Euclid, Robert Simson - 1892 - عدد الصفحات: 518
...I. 15, (,'or. Therefore all tho interior angles of the figure, with four right angles, am together **equal to twice as many right angles as the figure has sides,** Q. u. U, COROLLARY 2. If the sides of a rectilineal JlJure, which has no re.entrant angle, are produced... | |
| S. L. Loney - 1893
...regular decagon. The corollary to Eue. I. 32 states that all the interior angles of any rectilinear **figure together with four right angles are equal to...twice as many right angles as the figure has sides.** Let the angle of a decagon contain x right angles, so that all the angles are together equal to 10#... | |
| Great Britain. Education Department. Department of Science and Art - 1894
...to BC ; show that AE is equal to AD. (12.) 9. Show 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.** A five sided figure has four equal angles, and the fifth angle equals a half of one of the four ; find... | |
| Queensland. Department of Public Instruction - 1897
...the triangles are equal in all respects. 3. Show that all the interior angles of any rectilineal 7 **figure, together with four right angles, are equal...twice as many right angles as the figure has sides.** 4. Parallelograms on equal bases, and between the 18 same parallels, are equal in area. 5. The complements... | |
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