Books Books
Any two sides of a triangle are together greater than the third side.
Euclid's Elements of Geometry - Page 59
edited by - 1893 - 504 pages

## Mathematical Papers for Admission Into the Royal Military Academy and the ...

Royal Military Academy, Woolwich - Mathematics - 1909 - 456 pages
...XYZW have AB = XY, BC= YZ, CD = ZW, B= Y, C = Z. Show that they are equal in every respect. 2. Show that any two sides of a triangle are together greater than the third. Give in substance the enunciation of propositions from which you know that the sum of the squares on...

## Principles of psychology

Herbert Spencer - Philosophy - 1910 - 780 pages
...it falls within or without some other; and the like. Let us take as an example the proposition — " Any two sides of a triangle are together greater than the third side." " Let ABC be a triangle ; any two sides of it are, together, greater than the third side; namely, BA,...

## The Ontario High School Geometry: Theoretical

Alexander H. McDougall - Geometry - 1910 - 316 pages
...of the bisectors to the vertex of the third ^ of the A bisects that third Z. INEQUALITIES THEOREM 16 Any two sides of a triangle are together greater than the third side. B DC Hypothesis. — ABC is a A. To prove that AB + AC> BC. Construction. — Bisect ZA and let the...

## Field and Colliery Surveying: A Primer Designed for the Use of Students of ...

Thomas Aloysius O'Donahue - Mine surveying - 1911 - 288 pages
...is, as 12 is to 8. As BC equals 10, EF equals T % of 10 = 6|, and as CA = 8, FD = ^ of 8 = 5 J. X. Any two sides of a triangle are together greater than the third side. XL Parallelograms upon the same base or upon equal bases, 8 C Fio. 41. and between the same parallel,...

## Annual Report of the Department of Education of the Province of ..., Volume 5

Alberta. Department of Education - Education - 1911 - 226 pages
..."Indirect Method of Proof" and illustrate it fully by reference to a proposition in Book I. 8 2. (a) Any two sides of a triangle are together greater than the third side. 20 — I. 6 (b) The sum of the distances of any point from the three angular points of a triangle is...

## Elementary Trigonometry

William Ernst Paterson - Logarithms - 1911 - 262 pages
...one side be produced the exterior angle equals the sum of the two interior opposite angles. Prop. 7. Any two sides of a triangle are together greater than the third. Prop. 8. Two triangles are congruent (ie are equal in every respect) if they have — (a) two sidea...

## Report of the Secretary for Public Instruction ..., Volume 36

Queensland. Department of Public Instruction - Education - 1912 - 234 pages
...formed by two intersecting straight lines are two straight lines at right angles to one another. 3. Any two sides of a triangle are together greater than the third side. 4. P is a moving point on a fixed line A15 : O is a fixed point outside the lino. P is joined to O,...

## Essays on Mathematical Education

George St. Lawrence Carson - Mathematics - 1913 - 154 pages
...of a science may not be a postulate in another. In Euclid's development of geometry, the statement that any two sides of a triangle are together greater than the third side is not a postulate, because it is deduced from other statements (postulates) which are avowedly assumed...