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" ANY two sides of a triangle are together greater than the third side. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - الصفحة 33
بواسطة John Playfair - 1832 - عدد الصفحات: 333
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Spherical trigonometry

Benjamin Martin - 1736 - عدد الصفحات: 414
...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...

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

Robert Simson - 1806 - عدد الصفحات: 546
...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, viz. the sides BA, AC greater than the side BC ; and AB, BC greater than AC ; and BC, CA greater than AB. Produce BA to. the point D, and D a 3. 1....

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

John Playfair - 1806 - عدد الصفحات: 320
...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, viz. the sides BA, AC greater than the side BC ; and AB, BC greater than AC ; and BC, CA greater than AB. Produce BA to the point a 3. 1. D, and make...

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

Sir John Leslie - 1809 - عدد الصفحات: 542
...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 - عدد الصفحات: 554
...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 - عدد الصفحات: 588
...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, viz. the sides BA, AC greater than the side BC ; and AB, BC greater than AC ; and BC, CA greater than AB. Produce BA to the point ] ) . ,, i D, and...

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

Sir John Leslie - 1817 - عدد الصفحات: 456
...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 ..., المجلد 5

John Mason Good - 1819 - عدد الصفحات: 800
...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 - عدد الصفحات: 488
...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 - عدد الصفحات: 514
...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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