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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 30
by Euclid, John Playfair - 1826 - 320 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
...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...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...the sides AB, BC are greater than CA, and BC, CA greater than AB. 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...
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## Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

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....
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## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 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 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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## 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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## The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 544 pages
...sides AB, BC are greater than CA, and BC, CA greater that AB. Therefore, " any ttoo sides" &c. QED PROP. XXI. THEOR. If, from the ends of one side of a triangle there be Sec N. drawn two straight lines to a point within the triangle, these sliall be less than the other...
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## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...sides AB, BC are greater than CA, and BC, CA greater that AB. Therefore, " any two sides," &c. QED PROP. XXI. THEOR. If, from the ends of one side of a triangle there be See N. drawn two straight lines to a point within the triangle, these sJiall be less than the other...
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## The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...therefore, ACB is not a right angle. Therefore, From, &c. QED PROP. XII. 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. Let the two straight lines BD, CD be drawn...
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## Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...are greater than CA, and BC, CA, greater than AB. PROPOSITION XXI. THEOREM. If from the ends of the side of a triangle, there be drawn two straight lines...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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