Books Books
AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side.
A Course of Mathematics: In Two Volumes. For the Use of Academies, as Well ... - Page 257
by Charles Hutton - 1818

## Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 68 pages
...a given point within, then the line bisecting the third angle will pass through the same point. 22. The difference of any two sides of a triangle is less than the third side. 23. If the angles at the base of a right-angled isosceles triangle be bisected, the bisecting lins...

## Elementary geometry

James Maurice Wilson - 1878 - 448 pages
...But AD is equal to AB and BC together, therefore AB and BC are together greater than AC\. QED COR. The difference of any two sides of a triangle is less than the third side. THEOREM 13. If from the ends of the side of a triangle two straight lines be drawn to a point within...

## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 90 pages
...sides of a triangle are together greater than the third side. Hence prove that the difference between any two sides of a triangle is less than the third side. Section II. 1. If a side of any triangle be produced, the exterior angle is equal to the two interior...

## The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 414 pages
...angles to the given line. 2. Any two sides of a triangle are together greater than the third side. The difference of any two sides of a triangle is less than the third side. 3. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle...

## Geometrical Exercises for Beginners

Samuel Constable - Geometry - 1882 - 218 pages
...I. 21.] 3. Prove, by showing that the angle BDC is greater than the angle BCD in fig. Prop. 13, that the difference of any two sides of a triangle is less than the third. 4. Prove that the angle included between any two straight lines is equal to the angle included between...

## Class lessons on Euclid

Marianne Nops - 1882 - 274 pages
...as a fraction of a right angle the interior angle of a regular octagon. 13. The difference between any two sides of a triangle is less than the third side. 14. Describe an equilateral triangle having its side equal to a given finite straight line, and having...

## Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 pages
...opposite to it. THEOR. 13. Any two sides of a triangle are together greater than the third side. COR. The difference of any two sides of a triangle is less than the third side. THEOR. 14. If from the ends of a side of a triangle two straight lines are drawn to a point within...

## The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...any two sides ; .-. the sum of any two sides of a triangle is greater than the third side. COR. — The difference of any two sides of a triangle is less than the third side. For BA + AC is greater than BC. I. 20 Taking AC from each of these unequals, there remains BA greater...