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" If from the ends of a 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 Euclid, the parts read in the University of Cambridge [book ... - Page 22
by Euclides - 1846
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 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....
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...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...less than the other two sides of the triangle, but (hall contain a greater angle. Prop. XXII. Prob. To make a triangle of •which the sides shall be...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - Euclid's Elements - 1816 - 528 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 333 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 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....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 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...angle. Let the two straight lines BD, CD be drawn from В, С, the ends of the side BC of the triangle ABC, to the point D within it ; BD and DC are less...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 320 pages
...side of a triangle, there 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 eontain a greater angle. L'el the two straight lines BD, CD be drawn from B, C, the em's of the side...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...from the ends of the side of a triangle, there be drawn See N. two straight lines to a point 1cithin the triangle, these shall be less than the other two...the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, C, c 13. 1. 1 5. 1. t 9 Ax. 19. 1. the ends of the side BC,...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 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,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 333 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....
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