 | Euclides - 1848 - 52 pages
...cannot inclose a space. XI. All right angles are equal to one another. XII. If a straight line meet two straight lines, so as to make the two interior...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITIONS. PROP. I. PROBLEM. To describe... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...x. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XIL " If a straight line meets two straight lines, so as...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles." PROPOSITION I. PROBLEM. To describe... | |
 | Euclides - 1852 - 152 pages
...across the other two so as to inclose a space.] XI. All right angles are equal to one another. XII. " If a straight line meets two straight lines, so as...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles." [These are truths which no person can... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITIONS. PROPOSITION I. PROBLEM.... | |
 | Euclides - Geometry - 1853 - 176 pages
...part. X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meets two straight lines, so as...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITION I. — PROBLEM. To describe... | |
 | Euclides - 1853 - 146 pages
...lines cannot inclose a space. All right angles are equal to one another. XII. " If a straight line meet two straight lines, so as to make the two interior...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles." PROPOSITION I. — PROBLEM. To describe... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...shall be meeting-lines. This is the twelfth axiom, and is thus expressed in Euclid : — AXIOM XII. — If a straight line meets two straight lines, so as...than two right angles, these straight lines, being prolonged, shall at length meet upon that side on which are the angles that are less than two right... | |
 | Euclides - 1855 - 270 pages
...at X. Two straight Unes cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meets two straight lines, \ so...being \ continually produced, shall at length meet ' V ' 'L upon that side on which are the angles -which \ are less than two right angles. It H admitted... | |
 | Robert Rawson - 1856 - 178 pages
...two straight lines, so as to make the two interior angles on the same side of it taken together lesi than two right angles, these straight lines being...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles." EXPLANATION OF TEEMS AND USEFUL NUMBEKS... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...part. X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meets two straight lines, so as...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITION I. PROBLEM. To describe an... | |
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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... 
