| 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... | |
| 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 than the third** side. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the... | |
| Robert Simson - Trigonometry - 1806 - 548 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... | |
| Euclides - 1816 - 592 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... | |
| John Mason Good - 1819 - 800 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;... | |
| 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 the third** side. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the... | |
| Sir John Leslie - Geometry - 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... | |
| 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... | |
| Industrial arts - 1827 - 600 pages
...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... | |
| George Darley - Geometry - 1828 - 190 pages
...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... | |
| |