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" Any two sides of a triangle are together greater than the third side. "
Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ... - Pagina 16
door Stewart W. and co - 1884
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Spherical trigonometry

Benjamin Martin - 1736
...Triangles the Angles at the Bile are equal ; &?, č contra. -.. .THEOREM VHI. •. • • . • • • Any two Sides of a Triangle, are together greater than the Third Side. N. Б. Thefe Fhre Theorems laft mentioned, are demonftrated after the fame Manner as in Plain Triangles...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 493 pagina’s
...being thus neither equal to AB, nor less than it, must therefore be greater than AB. PROP. XVI. THEOR. Two sides of a triangle are together greater than the third side. The two sides AB and BC of the triangle ABC are together greater than the third side AC. For produce...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 pagina’s
...AB; therefore AC is greater than AB. Wherefore the greater angle, &c. QED PROP. XX. THEOR. See Note. ANY two sides of a triangle are together greater than the third side. Let ABC be a triangle; any two Bides of it together are greater than the third side, viz. the sfdes BA, AC greater than the side BC;...
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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - 1817 - 432 pagina’s
...the difference between the sides AB and AC is less than the third side BC. 12. From the property that two sides of a triangle are together greater than the third side, may be derived the generic character of a straight line : The shortest line that can be drawn between...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819
...triangle is subtended by the greater bide, or has the greater tide opposite to it Prop. XX. Theor. Any two sides of a triangle are together greater than the third side. Prop. XXI. Ihcur. If. from the ends of the side of a triangle, there be drawn two straight lint; to...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ...

Sir John Leslie - 1820 - 465 pagina’s
...thus neither equal to AB, nor less than it, must therefore be greater than AB. % PROP. XIV. THEOR. Any two sides of a triangle are together greater than the third side. The two sides AB and BC of the triangle ABC are together greater than the third side AC. For produce...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 pagina’s
...equal to AB; therefore AC is greater than AB. Wherefore the greater angle, &c. QED PROP. XX. THEOR. ANY two sides of a triangle are together greater than...ABC be a triangle; any two sides of it together are great erthanthe third side, viz. the sides BA, AC greater than the side BC; and AB, BC greater than...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821
...which one is perpendicular to it, and the other not, the perpendicular is the least. PROP. 20, THEOR. Any two sides of a triangle are together greater than the third. Bisect the angle contained by the two sides* the bisecting line shall cut the third side into segments...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 pagina’s
...QED ' Proportion XX. Tlieurem. Any two sidei of a triangle are together greater than the third lide. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the tides BA, AC, greater than the side BC ; and AB, BC greater than AC : and BC, CA greater than AB. Produce...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 pagina’s
...equal to AB; therefore AC is greater than AB. Wherefore the greater angle, &e. QED f. PROP. XX, THEOR; Any two sides of a triangle are together greater tha.n...ABC be a triangle; any two sides of it together are great?? than the third side, viz. the sides BA, AC greater than the side BC : and AB, BC greater than...
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