 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...unequal segments. It is known to every one who goes 'cross lots rather than around the corner. As. 37. The sum of two sides of a triangle is greater than the third. As. 38. The difference between two sides of a triangle is less than the third side. Ex. 1. How many... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...Z B' to be able to conclude that AOA'C'? SEGMENTS FROM A POINT WITHIN A TRIANGLE 141. THEOREM XIII. The sum of two sides of a triangle is greater than the sum of the segments drawn from any point within the triangle to the extremities of the third side.... | |
 | Edson Homer Taylor, Fiske Allen - Mathematics - 1919 - 244 pages
...angles opposite those sides are unequal and the angle opposite the greater side is the greater. V. The sum of two sides of a triangle is greater than the third side. Exercise 80 1. Can a triangle have two right angles? Why? Two obtuse angles? Why? Two acute angles?... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...line. Prop. 5. // two straight lines intersect each other, the vertical angles are equal. Prop. 7. The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side. Prop. 8. Two triangles are congruent when two sides... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...13. .-. the theorem is true. 7. One and only one straight line can be drawn between two points. 8. The sum of two sides of a triangle is greater than the third side. 9. Shown in 6 above. 10. By substitution. 11. By substitution. 12. We have shown that any point P'... | |
 | Walter Wilson Hart - Mathematics - 1922 - 284 pages
...are three altitudes. 4. The formula for the area of a triangle SUPPLEMENTARY FACTS ABOUT TRIANGLES 5. The sum of two sides of a triangle is greater than the third side. 6. The sum of the angles of a triangle is 180°. 7. An isosceles triangle has two equal sides ; the... | |
 | Clarence Addison Willis - Geometry, Modern - 1922 - 320 pages
...the previously analyzed and classified principles of Chapter III. 118. Theorem I (of triangles). — The sum of two sides of a triangle is greater than the third side. Help. — Apply Postulate 4. Corollary. — The difference between any two sides of a triangle is less... | |
 | Clarence Addison Willis - Geometry, Modern - 1922 - 318 pages
...previously analyzed and classified principles of Chapter III. 118. Theorem I (of triangles).—The sum of two sides of a triangle is greater than the third side. Help.—Apply Postulate 4. Corollary.—The difference between any two sides of a triangle is less... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...multiplied by the same number, the resulting segments (or angles) are unequal in the same order. As. 37. The sum of two sides of a triangle is greater than the third. As. 38. The difference between two sides of a triangle is less than the third side. THEOREM 8. An exterior... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...to trihedral or polyhedral angles that correspond to the following theorems of plane geometry : (a) The sum of two sides of a triangle is greater than the third side. (6) If two angles of a triangle are equal, the opposite sides are equal. (c) If two sides of a triangle... | |
| |
The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side. 
