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" 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 192
1847
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

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...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

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...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

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,...
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The first two books of the Elements of Euclid, with additional figures ...

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...
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Catalogue - Harvard University

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,...
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The Harvard University Catalogue

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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