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" Any two sides of a triangle are together greater than the third side. "
An Elementary Course of Plane Geometry - Σελίδα 33
των Richard Wormell - 1870 - 16 σελίδες
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Spherical trigonometry

Benjamin Martin - 1736 - 414 σελίδες
...Triangles the Angles at the Bile are equal ; &?, è 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...

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

Robert Simson - 1806 - 546 σελίδες
...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 the third side. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the...

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

John Playfair - 1806 - 320 σελίδες
...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 the third side. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the...

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

Euclides - 1816 - 588 σελίδες
...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 the third side. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1819 - 800 σελίδες
...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;...

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

John Playfair - 1819 - 354 σελίδες
...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 the third side. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the...

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

Sir John Leslie - 1820 - 488 σελίδες
...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...

The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 σελίδες
...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...

Mechanics Magazine, Τόμος 6

1827 - 600 σελίδες
...right linr." Again, the first problem which he introduces has, for its object, to establish " that any two sides of a triangle are, together, greater than the third side." He might, \ve think, have taken this for ¡minted with as much safety as that, " when equals...

The Geometrical Companion, in which the Elements of Abstract Geometry are ...

George Darley - 1828 - 190 σελίδες
...the side which the sparrow has to fly in proportion to that which it has to fly itself. ART. 43. " Any two sides of a triangle are together greater than the third sidr." As I have observed before, we often, without knowing an angle from a triangle, give an involuntary...




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