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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.
A Popular Course of Pure and Mixed Mathematics ...: With Tables of ... - الصفحة 181
بواسطة Peter Nicholson - 1825 - عدد الصفحات: 372
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## Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

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...
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## The Elements of Plane and Solid Geometry: With Numerous Exercises

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...
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## A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., كتاب 1

...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....
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## The Colliery Manager's Handbook: A Comprehensive Treatise on the Laying-out ...

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...
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## A Rudimentary Treatise on Land and Engineering Surveying: For Students and ...

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...
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## The First Book of Euclid's Elements: Arranged for Beginners

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...
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## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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## Plane Trigonometry

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#...
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## Examination Papers for Science Schools and Classes

...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...
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## Report of the Secretary for Public Instruction ...

...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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