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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. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Page 23
by John Playfair - 1837 - 318 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...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...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...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....
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...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,...two straight lines BD, CD, be drawn from B, C, the ends'of the side BC of the triangle ABC, to the point D within it; BD and DC are less than the other...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...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 - 1819 - 354 pages
...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 - 1046 pages
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1826 - 326 pages
...greater than AB. Therefore any two Bides, &e. QED E PROP. XXI. THEOR. If from the ends of one side of a triangle, there be drawn two straight lines to...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 - 546 pages
...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 sides of 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

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,...
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