 | Robert Simson - Trigonometry - 1806 - 546 pages
...greater than AB. Therefore, any two sides, &c. Q- ED PROP. XXI. THEOR. See N. IF, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. Let the... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...the sides AB, BC are greater than CA, and BC, CA greater than AB. Therefore any two sides, &c. QED PROP. XXI. THEOR. IF from the ends of one side of a triangle there N. " be drawn two straight lines to a point within the triangle, these two lines shall be less than... | |
 | John Mason Good - 1813 - 714 pages
...of a triangle •re together greater than the third side. Prop. XXI. Theor. If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but (hall contain a greater angle. Prop. XXII.... | |
 | Euclides - 1816 - 588 pages
...greater than AB. Therefore any two sides, &c. QED ' PROP. XXI. THEOR. *«e jf.I*' from the ends.of the side of a triangle, there be drawn two straight lines to a point within the trir angle, these shall be less than the other two sides of the triangle, but shall contain a greater... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...greater than AB. Therefore any two sides, Sec. QED Propoķiķion. XX/. Theoren. If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. Let the... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...would be two of its sides together not greater than the third. THEOREM — If from the ends of the side of a triangle, there be drawn two straight lines to a point milhin the triangle, these See Note *hall together be less than the two sides of thejirst triangle,... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...sides AB, BC are greater than CA, and BC, CA greater that AB. Therefore, " any ttoo sides" &c. QED PROP. XXI. THEOR. If, from the ends of one side of a triangle there be Sec N. drawn two straight lines to a point within the triangle, these sliall be less than the other... | |
 | Euclid - 1835 - 540 pages
...sides AB, BC are greater than CA, and BC, CA greater that AB. Therefore, " any two sides," &c. QED PROP. XXI. THEOR. If, from the ends of one side of a triangle there be See N. drawn two straight lines to a point within the triangle, these sJiall be less than the other... | |
 | John Playfair - Geometry - 1836 - 148 pages
...therefore, ACB is not a right angle. Therefore, From, &c. QED PROP. XII. THEOR. If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle. Let the two straight lines BD, CD be drawn... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...are greater than CA, and BC, CA, greater than AB. PROPOSITION XXI. THEOREM. If from the ends of the side of a triangle, there be drawn two straight lines...a point within the triangle, these two lines shall he less than the other two sides of the triangle, but shall contain a greater angle. Let the two straight... | |
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If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. 
