If straight lines be drawn from the angles of a triangle through any point, either within or without the triangle, to meet the sides, and the lines joining these points of intersection and the sides of the triangle be produced to meet ; the three points... The Mathematician - Page 1921847Full view - About this book
| Miles Bland - Euclid's Elements - 1819 - 444 pages
...If straight lines be drawn from the angles of a triangle through any point, either within or without the triangle, to meet the sides, and the lines joining...triangle be produced to meet ; the three points of concourse will be in the same straight line. Let ABC be a triangle from the three angles of which let... | |
| Miles Bland - Euclid's Elements - 1819 - 442 pages
...If straight lines be drawn from the angles of a triangle through any point, either within or without the triangle, to meet the sides, and the lines joining...triangle be produced to meet ;. the three points of concourse will be in the same straight line. Let ABC be a triangle from the three angles of which let... | |
| Euclides - 1847 - 128 pages
...XXXII.) PROP. 9. — If straight lines be drawn from the angles of a triangle, through any point within the triangle, to meet the sides, and the lines joining...triangle be produced to meet, the three points of concourse will be in the same straight line. LetABC be a A ; from the angular pts. draw AD, BE, CF,... | |
| Euclides - 1852 - 152 pages
...If straight lines be drawn from the angles of a triangle through any point, either within or without the triangle, to meet the sides, and the lines joining...triangle be produced to meet; the three points of concourse will be in the same straight line. If the opposite sides or opposite angles of a quadrilateral... | |
| Harvard University - 1876 - 554 pages
...straight lines be drawn from the vertices of a triangle through any point, either within or without the triangle, to meet the sides, and the lines joining...triangle be produced to meet, the three points of concourse will be in the same straight line. 4. In any trapezium, if two opposite sides be bisected,... | |
| Harvard University - 1876 - 324 pages
...straight lines be drawn from the vertices of a triangle through any point, either within or without the triangle, to meet the sides, and the lines joining...triangle be produced to meet, the three points of concourse will be in the same straight line. 4. In any trapezium, if two opposite sides be bisected,... | |
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