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" If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... "
The Elements of Euclid [book 1] for beginners, by J. Lowres - Σελίδα 12
των Euclides - 1852
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Memoir of Theophilus Parsons, Chief Justice of the Supreme Judicial Court of ...

Theophilus Parsons - 1861 - 500 σελίδες
...proposition, that, if a right line meets two right lines, making the two interior angles on the same side, taken together, less than two right angles, these two right lines, being continually produced, shall meet upon that side on which are the two angles which are less than two right angles....

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 σελίδες
...space. XI. All right angles are equal to one another. XII. ' If a straight line meets two straight lines, so as to make the two interior angles on the...taken together, less than two right angles, these straight lines being continually produced, shall at length meet upon that side on which are the angles...

Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 72 σελίδες
...angles measured by those equals must themselves be equal. 12. If a straight line meets two skaight lines, so as to make the two interior angles on the...taken together less than two right angles, these two straight lines, being continually produced, shall at length meet upon that side on which the angles...

The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 118 σελίδες
...part. j 11. All right angles are equal to one another. | 10. Two straight lines cannot enclose a space to make the two interior angles on the same side of it, \ 12. If a straight line meets two straight lines, so as straight lines, being continually produced,...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...enclose a space. XL All right angles are equal to one another. XII. If a straight line meets two straight lines, so as to make the two interior angles on the...taken together less than two right angles ; these straight lines being continually produced, shall at length meet upon that side on which are the angles...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 σελίδες
...enclose a space. XI. All right angles are equal to one another. xn. If a straight line meets two straight lines, so as to make the two interior angles on the...taken together less than two right angles ; these straight lines being continually produced, shall at length meet upon that side on which are the angles...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 σελίδες
...the difficulty by assuming the following as an axiom : — ' If a straight line meets two straight lines, so as to make the two interior angles on the...taken together less than two right angles ; these straight lines being continually prodnced, shall at length meet upon that side on which are the angles...

An English primer; compiled under the superintendence of E.C. Lowe

Edward Clarke Lowe - 1866 - 168 σελίδες
...enclose a space. 11. All right angles are equal to one another. 12. If a straight line meets two straight lines so as to make the two interior angles on the...taken together, less than two right angles, these straight lines, being continually produced, shall at length meet upon that side on which are the angles...

The celebrated theory of parallels. Demonstration of the celebrated theorem ...

Matthew Ryan - 1866 - 50 σελίδες
...lines (AB, С D) which are in the same plane, so as to make the two interior angles (BA С, A С D) ore the same side of it, taken together, less than two right angles, these two straight lines (А В, С D) shall at length meet upon that side, if sufficiently produced. Draw AE...

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

Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...enclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight lines, so as to make the two interior angles on the...it taken together less than two right angles, these straight lines, being continually produced, shall at length meet on that side on which are the angles...




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