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Any two sides of a triangle are together greater than the third side.
Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry - Page 36
by John Playfair - 1829 - 186 pages

## Spherical trigonometry

Benjamin Martin - Plane trigonometry - 1736 - 414 pages
...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...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...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...side. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the sides BA, AC greater than the side BC ; and AB,...

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...AB ; therefore AC is greater than AB. Wherefore, the greater angle, &c. QED PROP. XX. THEOR. See N. ANY two sides of a triangle are together greater than...side. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the sides BA, AC greater than the side BC ; and AB,...

## Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...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...

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

Euclid - Geometry - 1810 - 554 pages
...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;...

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

Euclides - 1816 - 588 pages
...AB; therefore AC is greater than AB. Wherefore the greater angle, &c. Q.li!), PROP. XX. THEOR. see N. ANY two sides of a triangle are together greater than...side. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the sides BA, AC greater than the side BC ; and AB,...

## Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - Geometry - 1817 - 456 pages
...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...

## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...equal to AB ; therefore AC is greater than AB. Wherefore the greater angle, &c. Q,. ED PROP. XX. THEOR. Any two sides of a triangle are together greater than...side. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the sides BA, AC greater than the side BC ; and AB,...