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 Βιβλία Βιβλία ... figure, together with four right angles, are equal to twice as many right angles as the figure has be divided into as many triangles as the figure has sides, by drawing straight lines from a point F within the figure to each of its angles. The elements of plane geometry; or, The first six books of Euclid, ed. by W ... - Σελίδα 21
των Euclides - 1863
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 σελίδες
...straight lines from a point F within the figure to each of its angles. And, by the preceding Proposition, all the angles of these triangles are equal to twice as many right angles as there are triangles, that is, as there are sides of the figure; and the same angles are equal to the... ## The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - 48 σελίδες
...the base. COB. 3. 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. COB. 4. All the exterior angles of any rectilineal figure are together equal to four right angles.... ## Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1886 - 340 σελίδες
...triangles is equal to two right angles (Th. xvii) : hence, the sum of the angles of all the triangles is equal to twice as many right angles as the figure has sides. But the sum of all the angles about the point P is equal to four right angles (Th. ii. Cor. 4) ; and... ## Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1852 - 436 σελίδες
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is equal to twice as many right angles as the figure has sides, less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral, is equal to two... ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...straight lines from a point F within the figure to each of its angles. And by the preceding proposition, all the angles of these triangles are equal to twice as many right angles as there are triangles, that is, as there are sides of the figure; and the same angles are equal to the... ## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 σελίδες
...straight linee from a point f within the figure to each of its angles. And, by the preceding proposition, all the angles of these triangles are equal to twice as many right angles as there are triangles, that is, as there are sides of the figure : and the same angles are equal to the... ## The Elements of Euclid: With Many Additional Propositions ..., Μέρος 1

Euclid - 1853 - 176 σελίδες
...There are formed as many triangles as the figure has sides, therefore all their angles taken together are equal to twice as many right angles as the figure has sides (a) ; but the angles at the point F are together equal to four right angles (4), therefore all the... ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...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. COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... ## The popular educator, Τόμοι 5-6;Τόμος 8

Popular educator - 1854 - 940 σελίδες
...angles of the figure (Conit.) ; 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 (Ax. 1). QED The demonstration of Euclid's Cor. II. viz. "that all the exterior angles of any rectilineal... ## Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 436 σελίδες
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is equal to twice as many right angles as the figure has sides, less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral is equal to two right...