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. The Elements of Plane and Solid Geometry - Page 12by Henry William Watson - 1871 - 285 pagesFull view - About this book
| 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
...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 the other two sides of the triangle, but shall contain a greater angle. Let the two straight... | |
| 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... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...CA greater than AB. Therefore any two sides, &c. QE D, E PROP. XXI. THEOR. If from ike ends of one side of a triangle, there be drawn two straight lines...point within the triangle, these two lines shall be less than the other two sides of the triangle, but shall contain a greater angle. Let the two straight... | |
| John Playfair - 1819 - 354 pages
...BC, CA greater than AB. Therefore any two sides, &c. QED E PROP'. XXI. THEOR. y from the ends of one side of a triangle, there be drawn two straight lines to a point within tht triangle, these two lines shall be less than tin: other two sides of the triangle, but shall contain... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...greater than AB. Therefore any two sides, Sec. QED Propoíiíion. 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... | |
| John Playfair - Euclid's Elements - 1833 - 346 pages
...Therefore any two sides, &c. QED PROP. XXI. THEOR. If from the ends of one side of a triangle, tJiere be drawn two straight lines to 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... | |
| 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,... | |
| Mathematics - 1836 - 488 pages
...Any two sides of a triangle are together greater than the third side. XXI. If from the ends of one side of a triangle, there be drawn two straight lines...point within the triangle, these two lines shall be less than the other two sides of the triangle, but shall contain a greater angle. XXIV. If two triangles... | |
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