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" If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. "
First principles of Euclid: an introduction to the study of the first book ... - Σελίδα 51
των T S. Taylor - 1880
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A Text-book of Euclid's Elements for the Use of Schools, Βιβλίο 1

Euclid - 1904 - 488 σελίδες
...angles to one another. 3. Shew that the angles AOX and COY are complementary. PROPOSITION 14. THEOREM. If, at a point in a straight line, two other straight lines, on opposite sides of it, make the adjacent angles together equal to two right angles, then these two straight...

Annual Report of the Commissioners ..., Τόμος 72

1906 - 826 σελίδες
...CHAMBERS, District Inspector. SECTION A. 1. If at a point in a right line two other right lines on opposite sides of it make the adjacent angles together equal to two right angles, these two right lines form one continuous line. 2. If two triangles have two sides of one respectively...

Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - 1908 - 228 σελίδες
...another straight line on one side of it are together equal to two right angles (Euc. I. 13) 83 A.1c. — If at a point in a straight line, two other straight lines on opposite sides of it make the adjacent angles together equal to two right angles, these two straight...

Horses, Horsemen and Stable-management

Godfrey Bosvile - 1908 - 316 σελίδες
...adopt them ; but in no case may algebraical symbols, such as the minus sign, and AJP, be used.] 1. If, at a point in a straight line, two other straight lines, on opposite sides of it, make the adjacent angles together equal to two right angles, then these two straight...

A School Geometry, Μέρη 1-4

Henry Sinclair Hall - 1908 - 286 σελίδες
...the same angle are equal. (ii) Complements of the same angle are equal. 11 THEOREM 2. [Euc. I. 14.] If, at a point in a straight line, two other straight lines, on opposite sides of it, make the adjacent angles together equal to two right angles, then these two straight...

Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1912 - 296 σελίδες
...line perpendicular to a given straight line of unlimited length from a given point without it. A 4. If, at a point in a straight line, two other straight lines, on opposite sides of it, make the adjacent angles together equal to two right angles, then these two straight...

Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1913 - 228 σελίδες
...perpendicular bisectors of AD and BC intersect at O. Prove that AB and CD subtend equal angles at O. (6) 5. If, at a point in a straight line, two other straight...adjacent angles together equal to two right angles, prove that the two straight lines must be in one and the same straight line. On the opposite sides...

Journal of Education

1914 - 914 σελίδες
...soldiers are angry (xoXorotVai) at the generals. GEOMETRY.— X. 9 to 11 am, Wednesday, 24 June, 1914. 1. If at a point in a straight line, two other straight lines, on opposite side* of it, make the adjacent angles together, equal to two right angles, then these two...

Logic from a Rhetorical Point of View

Witold Marciszewski - 1994 - 340 σελίδες
...formulation of general theorems in the example of Euclid's Theorem 14 of Book I. It runs as follows: If, at a point in a straight line, two other straight...adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. Other indefinite articles of the...
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A First Course of Geometry

130 σελίδες
...circle centre O, and D is the mid-point of AB ; show that OD is perpendicular to BC. 25. PROP. 12. If, at a point in a straight line, two other straight lines on opposite sides of it make the adjacent angles together equal to two right angles, those two straight...
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