Search Images Maps Play YouTube News Gmail Drive More »
Sign in
 Books Books
Any two sides of a triangle are together greater than the third side.
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 16
by Euclides - 1814
Full view - About this book

## Spherical trigonometry

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...
Full view - About this book

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

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...
Full view - About this book

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

Sir John Leslie - Geometry - 1817 - 456 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...
Full view - About this book

## Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

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; to...
Full view - About this book

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

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...
Full view - About this book

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

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...
Full view - About this book

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

Peter Nicholson - Mathematics - 1825 - 1046 pages
...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...
Full view - About this book

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

John Playfair - Circle-squaring - 1826 - 326 pages
...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...
Full view - About this book

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

Robert Simson - Trigonometry - 1827 - 546 pages
...angle, &c. e. ED PROP. XX. THEOR. Any two sides of a triangle are together greater than the See N. third side. Let ABC be a triangle : any two sides of it together shall be greater than the third side, viz. the sides BA, AC greater than the side BC; and AB, BC greater...
Full view - About this book

## Mechanics Magazine, Volume 6

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 are added...
Full view - About this book