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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 ... - Σελίδα 16
των Stewart W. and co - 1884
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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 Triangles...

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

Sir John Leslie - 1809 - 542 σελίδες
...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 - 1810 - 554 σελίδες
...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;...

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

Sir John Leslie - 1817 - 456 σελίδες
...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...

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; to...

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 produce...

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

Euclid, Robert Simson - 1821 - 514 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...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...

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...

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

Peter Nicholson - 1825 - 1046 σελίδες
...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...

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

Euclid, John Playfair - 1826 - 326 σελίδες
...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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