| 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... | |
| Robert Simson - Trigonometry - 1806 - 518 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 the third 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... | |
| John Playfair - Euclid's Elements - 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 than the third 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... | |
| 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... | |
| Euclides - 1816 - 528 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 the third 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... | |
| Sir John Leslie - Geometry - 1817 - 454 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... | |
| John Playfair - 1819 - 317 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 the third 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... | |
| John Mason Good - 1819 - 740 pages
...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... | |
| Sir John Leslie - Geometry, Modern - 1820 - 488 pages
...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... | |
| Euclides - 1821 - 294 pages
...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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