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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. "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - Σελίδα 33
των John Playfair - 1795 - 400 σελίδες
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 σελίδες
...triangles : that is (i. 15, cor. 2), together with four right angles. 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. Сод. 2. All the exterior angles of any rectilineal figure are together equal to four right...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...Wherefore, if a side of any triangle, &c. QED COE. 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 rectilineal figure ABCDE can be divided into as many triangles as the figure has sides,...

The Elements of Euclid: With Many Additional Propositions ..., Μέρος 1

Euclid - 1853 - 136 σελίδες
...internal angles, are equal to twice as many right angles as the figure has sides; but the internal angles, together with four right angles, are equal to twice as many right angles as the figure has sides (6); take away from both the internal angles, and the external angles remain, equal to four right...

The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Βιβλίο 1

Euclides - 1853
...the angles of the polygon together with four right angles. But all the angles of the polygon GHKLM together with four right angles are equal to twice as many right angles as the polygon has sides (i. 32. Cor. i), that is, as there are plane angles constituting the solid angle...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...angles. Wherefore, if a side of a triangle, etc. QED COR. 1. All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many D right angles as the figure has sides. E.«=^lT"\~~-^, \ 4C-\ For any rectilineal figure ABCDE can...

The popular educator, Τόμοι 5-6

Popular educator - 1854
...tiungles are equal to twice as many right anales as the figure has sides. Therefore all the angles of the figure together with four right angles are equal to twice as many right ung'es as the figure has sides. Corollary 2. All the exterior angles of any rectilineal figure, made...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...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. СOR. 2. — All the exterior angles of any rectilineal figure, made by producing the sides...

The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...opposite side to the obtuse angle. XV.— EUCLID I. 32, Cor. 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 rectilinear figure ABCDE (Fig. 10) can be divided into as many triangles as the figure...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...also without construction, by superposition. 3. Prove that all the internal angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides; and that all the external angles are together equal to four right angles. In what sense are...

The Popular Educator, Τόμος 5

1856
...triangles thus formed are equal to all the angles of the figure (Const.) ; therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure nas sides (Лх. 1). QED The demonstration of Euclid's Cor. II. viz. "that all the pxterior angles...




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