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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. "
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books - Σελίδα 56
των Euclid - 1765 - 464 σελίδες
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 σελίδες
...triangles are equal to twice as many right angles as the figure has sides. 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. Cor. 2. All the exterior angles of any rectilineal Jigure, made by producing the sides successively...

Elementary Geometry ...

James Maurice Wilson - 1878 - 450 σελίδες
...angles are equal to twice as many right angles as the figure has sides ; •but all the interior angles, together with four right angles, are equal to twice as many right angles as the figure has sides; (Th. 26.) therefore all the exterior angles are equal to four right angles*. QED THEOREM 27....

Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - 1879 - 68 σελίδες
...six-sided figure four times as great, or in other words, 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. Again, parallelograms upon equal bases and with the same altitude are equal. Of all figures...

Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 σελίδες
...regular hexagon bear to a right angle ? I. 32. Corollary 1. — 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 angles of a regular hexagon + 4 right angles = 12 right angles ; .-. The angles of a regular...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 σελίδες
...triangles are equal to twice as many right angles as the figure has sides. 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. COR. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively...

The Madras University Calendar, Τόμος 1

University of Madras - 1879 - 674 σελίδες
...1 PM EUCLID ANT) ALGEBBA. F. 8. BTANS, MA, I. Prove that 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. II. Prove the proposition to which the following is a corollary : The difference of the squares...

Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 σελίδες
...1) Therefore, if a side of any triangle, &c. QED Cor. 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. For any figure ABCDE can be divided into as many As as it has sides, by drawing st. lines from...

The Civil-engineer & Surveyor's Manual

Michael McDermott - 1879 - 552 σελίδες
...and then mark the Y and telescope for future operations. 213. All the interior angles of any polygon, together with four right angles, are equal to twice as many right angles as the figure has sides. Example. Interior angles A, B, C, D, E, F = n° 4 right angles, 860 Sum = n° + 360° Namber...

Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 σελίδες
...one 'of the angular points of a rectilineal figure to each of the others, that its interior angles together with four right angles are equal to twice as many right angles as the figures has sides. 3. The opposite sides and angles of parallelograms are equal to one another. A quadrilateral...

The solution of geometrical exercises, explained and illustrated; with a ...

Charles Mansford - 1879 - 112 σελίδες
...figure with each of the other angles that the interior angles of any rectilineal figure together with 4 right angles are equal to twice as many right angles as the figure has sides. (32.) 113. If two angles have their containing sides respectively parallel to one another the...




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