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" Therefore all the interior 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 Six First Books. To which are Added ... - Σελίδα 42
των Rev. John Allen - 1822 - 494 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The Cambridge Examiner, Τόμος 2

1882 - 498 σελίδες
...every respect. 4 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. 5. Equal triangles upon equal bases in the same straight line and towards the same parts are between...

Class lessons on Euclid

Marianne Nops - 1882 - 278 σελίδες
...these vertical angles and we have remaining the interior angles of the figure, which will clearly be equal to twice as many right angles as the figure has sides, less four right angles. IV. If we produce all the sides of this figure, we shall have an exterior angle...

The Competitor, Τόμοι 1-2

1882 - 486 σελίδες
...EXPLANATIONS. 1. All the internal angles of any convex rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides (Euclid I., 32 Cor.) n denoting the number of sides : and T two right angles. (n — 2) T = angles...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...Corollary 2. Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. COROLLARY 2. All the exterior angles of any rectilineal figure are together equal to four right angles....

The Practical Teacher; with which is Incorporated the Practical ..., Τόμος 2

Joseph Hughes - 1883 - 568 σελίδες
...be used.] 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. See Corollary to Euclid I. 32. If the figure be equiangular and four interior angles be equal to seven...

Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 σελίδες
...the base and from one another. COB. l.— The sum of the interior angles of any rectilineal figure is equal to twice as many right angles as the figure has sides, minus four right angles. Take any rectilineal figure, as ABCDEF, and take G, any point within it. Join...

The Practical Teacher, Τόμος 2

1883 - 654 σελίδες
...be used.] 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. See Corollary to Euclid I. 32. If the figure be equiangular and four interior angles be e ]ual to seven...

Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884 - 204 σελίδες
...angles. (б) 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. (6) All the exterior angles of any rectilineal figure are together equal to four right angles. (7)...

An introduction to geometry, consisting of Euclid's Elements, book ..., Τόμος 1

Euclides - 1884 - 182 σελίδες
...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. QED EXERCISE XXXVIII. 1. If a figure be a pentagon, or five-sided, how many right angles make twice...

Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 σελίδες
...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. XXXIII. — The straight lines which join the extremities of two equal and parallel straight lines,...




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