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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, containing the first six books, with a selection of ... - Side 6
av Euclides - 1874
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. ' If a straight line meets two straight lines, so as...the angles which are less than two right angles.' PROP. I. — PROBLEM. To describe an equilateral triangle upon a given finite straight line. •(References...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...cannot inclose 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...lines being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. EXPLANATION OF TERMS. A...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...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...it 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...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...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,...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...part. X. Two straight lines cannot enclose a space. XL All right angles are equal to one another. XII. If a straight line meets two straight lines, so as...are the angles which are less than two right angles. PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finitt straight line. Let...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...properties of parallel lines. Enclid gets over the difficulty by assuming the following as an axiom : — ' If a straight line meets two straight lines, so as...right angles ; these straight lines being continually prodnced, shall at length meet upon that side on which are the angles which are less than two right...
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An English primer; compiled under the superintendence of E.C. Lowe

Edward Clarke Lowe - 1866
...part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another. 12. If a straight line meets two straight lines so as...are the angles which are less than two right angles. BOOK II. • Definitions. 1. Every right-angled parallelogram is called a rectangle, and is said to...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 317 sider
...self-evident propositions. It is therefore removed from among the Axioms. The 12th Axiom of Euclid is, that " if a straight line meets two straight lines, so as...produced, shall at length meet upon that side on which are th*i angles "which ire less than two right angles." Instead of this proposition, which, though true,...
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The celebrated theory of parallels. Demonstration of the celebrated theorem ...

Matthew Ryan - 1866
...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...cannot 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...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. PROPOSITION 1. PROBLEM....
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