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" 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. "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Page 41
by Euclides - 1838
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Practical Geometry for Second Grade Art-pupils and Private Schools

Thomas Newton Andrews - Geometry - 1881 - 168 pages
...setting off the angles at the base found thus: — In Euclid, Book I., Prop, xxxi11., it is proved that "All the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides." If we have to describe a pentagon on the base AB, we must first calculate the angles at the base. Thus...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...to the hypotenuse and one side of the other, the triangles are equal in every respect. 4 The sum of the interior angles of any rectilineal figure together with four right angles, equals twice as many right angles as the figure has sides. 5. Equal triangles upon equal bases in the...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...and the side opposite to the equal .es also equal, the triangles must be equal in every respect. 4 All the interior angles of any rectilineal figure...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...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...the proofs) of the subsequent propositions for the demonstration of which this one is referred to. 5. All the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides. 6. The opposite sides and angles of a parallelogram are equal ; and the diameter bisects the parallelogram....
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The Competitor, Volumes 1-2

1882 - 480 pages
...is 60°, or 66* 66' 66"-6. In corollaries to the same proposition it is shown that all the internal angles of any rectilineal figure, together with four...twice as many right angles as the figure has sides ; also, that all the external angles of any rectilineal figure formed by producing the sides in the...
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Gibson's London matriculation guide, by J. Gibson [and others].

1882 - 376 pages
...triangle are equal to two right angles; and that all the interior angles of any rectilineal n'gure, together with four right angles, are equal to twice as many right angles as the figure has sides. 3. If the square described upon one of the sides of a triangle is equal to the squares described upon...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...two-thirds of a right angle or 60°. III. All the interior angles of any rectilineal figure added to four right angles are equal to twice as many right angles as the figure has sides. Now, any figure can be divided into as many triangles as it has sides by drawing lines from each of...
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The Practical Teacher, Volume 2

Education - 1883 - 658 pages
...of the passage read out by Euclid. [All generally understood abbreviations for irorJs may be used.] 1. All the interior angles of any rectilineal figure...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...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...passage read out by the Inspector. Euclid. [AH generally understood abbreviations for words may be used.] 1. All the interior angles of any rectilineal figure...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...right angles. [Axiom 1. Wherefore, if a side of any triangle Sic. QBD EUCLID'S ELEMENTS. COROLLARY 1. All the interior angles of any rectilineal figure,...equal to twice as many right angles as the figure has side?. For any rectilineal figure ABODE can be divided into as many triangles as the figure has sides,...
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