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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

## A School Course of Mathematics

David Mair - Mathematics - 1907 - 412 pages
...justify your rule. The rule is important enough to be called a proposition, and may be stated thus: — Any two sides of a triangle are together greater than the third. 5. Points of the Compass. The terms north and east have been used. How do you know which direction...

## The Grammar of Philosophy: A Study of Scientific Method

David Graham - Common sense - 1908 - 408 pages
...all time coming ; whilst, on the other hand, a single demonstration of any necessary truth — say that " any two sides of a triangle are together greater than the third side," or the simple proposition that " lying is base," 1 Reid : Works, p. 441. 3 Hamilton : Lectures, vol....

## Calendar, for the Year ...

1908 - 274 pages
...asterisk, but such answers are not expected in order to qualify for any of the several classes. 1. Any two sides of a triangle are together greater than the third side. ABO is a triangle, and the vertical angle BAG is bisected by a line which meets BC in X ; show that...

## A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...greater than AB. QED [For Exercises on Theorems 9 and 10 see page 34.] THEOREM 11. [Euclid I. 20.] Any two sides of a triangle are together greater than the third Let ABC be a triangle. It is required to prove that any two of its sides are together greater than...

## Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - Geometry - 1908 - 228 pages
...to the first angle shall be greater than the side opposite to the second (Euc. I. 19) 123 T.4. — Any two sides of a triangle are together greater than the third (Euc. I. 2O) 124 T.5. — The shortest line which can be drawn from a given point to a given line is...

## Report of the Superintendent of Public Instruction

Michigan. Department of Public Instruction - Education - 1909 - 356 pages
...boulders and cobbles in this state? GEOMETRY. 1. Give the points of proof in the following theorems: (a) Any two sides of a triangle are together greater than the third side. (b) The medians of a triangle are concurrent. (c) The angles opposite the equal sides of an isosceles...

## Henley's Encyclopędia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - Engineering - 1909 - 560 pages
...angles. (Prop. 17.) The greater side of every triangle is opposite to the greater angle. (Prop. 18.) Any two sides of a triangle are together greater than the third side. (Prop. 20.) If from the ends of a side of a triangle there be drawn two straight lines to a point within...

## 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...