 | 1918 - 922 σελίδες
...points is the line segment joining the points; (4) Two distinct points determine a straight line; (5) Any side of a triangle is less than the sum of the other two sides; (6) A diameter bisects a circle; (7) A straight line intersects a circle at most in two points; (8)... | |
 | George Clinton Shutts - 1905 - 260 σελίδες
...bisects the vert'cal angle of an isosceles triangle bisects the triangle. PROPOSITION XL 87. Theorem. Any side of a triangle is less than the sum of the other two. B A Let ABC represent any triangle. To prove that any s'de, as AB, is less than the sum o] the other... | |
 | 1911 - 946 σελίδες
...equal angles are equal. [N3.] 12. The bisectors of vertical angles lie in a straight line. [J4-] 13. Any side of a. triangle is less than the sum of the other two and greater than their difference. [*] 1-4. A diameter bisects a circle. [A5.1 15. A straight line... | |
 | 1913 - 914 σελίδες
...compare so as to discern the relation of any side to the sum of the other two. II. Fundamental theorems. Any side of a triangle is less than the sum of the other two. III. Dependent theorems. a. If two sides of a triangle are unequal the angles opposite them are unequal,... | |
 | 1906 - 958 σελίδες
...adopted.] Your committee beg leave to report as follows : (1) We believe that it is self-evident that one side of a triangle is less than the sum of the other two ; however Euclid 1 : 20 shows that it is not necessary to make this assumption. (2) That the shortest... | |
 | Isaac Newton Failor - 1906 - 440 σελίδες
...angles of a triangle are 65° and 84° respectively, find the third angle. PROPOSITION XIII. THEOREM 160 Any side of a triangle is less than the sum of the other two sides. HYPOTHESIS. Let AC be the longest side of the triangle ABC. CONCLUSION. AC < AB + BC. PROOF The straight... | |
 | Isaac Newton Failor - 1906 - 431 σελίδες
...angles of a triangle are 65° and 84° respectively, find the third angle. PROPOSITION XIII. THEOREM 160 Any side of a triangle is less than the sum of the other two sides. HYPOTHESIS. Let AC be the longest side of the triangle ABC. CONCLUSION. AC < AB + BC. PROOF The straight... | |
 | Edward Rutledge Robbins - 1906 - 268 σελίδες
...to each of two parallels they will be in the same line. [Draw a third II through the point.] 86. One side of a triangle is less than the sum of the other two sides. 87. The sum of the sides of any polygon ABODE is greater than the sum of the sides of triangle A CE.... | |
 | Alva Walker Stamper - 1906 - 188 σελίδες
...straight line is the shortest path between two points. Boys cross lots without first learning that one side of a triangle is less than the sum of the other two. These facts of nature are used because they are serviceable. The Indian fastened his pony to a stake,... | |
 | Edward Rutledge Robbins - 1907 - 428 σελίδες
...to each of two parallels they will be in the same line. [Draw a third II through the point.] 86. One side of a triangle is less than the sum of the other two sides. 87. The sum of the sides of any polygon ABCDE is greater than the sum of the sides of triangle A CE.... | |
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Any side of a triangle is less than the sum of the other two sides. 
