 | William Frothingham Bradbury - 1872 - 124 lapas
...sides. Produce one of the lines to the side of the triangle. (Axiom 9.) 71 1 The angle included by the lines .drawn from a point within a triangle to the extremities of one of the sides is greater than the angle included by the other two sides. Produce as in (70). (39.)... | |
 | William Frothingham Bradbury - 1872 - 262 lapas
...less than the sum, but greater than the difference, of the other two. (Axiom 9.) 70i The sum of the lines drawn from a point within a triangle to the extremities of one of the sides is less than the sum of the other two sides. Produce one of the lines to the side... | |
 | William Guy Peck - 1876 - 376 lapas
...and the difference of any two must be less than the third. PROPOSITION VII. THEOREM. The sum of the lines drawn from a point within a triangle to the extremities of any side is less than the sum of the other two sides. Let ACD be a triangle, and P a point within it. Draw PA... | |
 | Cincinnati (Ohio). Board of Education - 1878 - 474 lapas
...this circumference are equal. 7. To bisect a given arc, or a given angle. 8. The angle included by the lines drawn from a point within a triangle to the extremities of one of the sides is greater than the angle included by the other two sides. 9. To inscribe a circle... | |
 | William Frothingham Bradbury - 1880 - 260 lapas
...than the sum, but greater than half the sum of the sides. (132 ; 133.) 136. The angle included by the lines drawn from a point within a triangle to the extremities of one of the sides is greater than the angle included by the other two sides. Produce as in (135). (79.)... | |
 | Webster Wells - 1886 - 392 lapas
...the hypotenuse is the greatest side. PROPOSITION XXIX. THEOREM. 97. If two straight lines are dratvn from a point within a triangle to the extremities of any side, the cuigle included by them is greater than the angle included by the other two sides. Let BD and CD... | |
 | William Chauvenet - 1887 - 336 lapas
...erected at the middle point of one side of a triangle meets the longer of the other two sides. 18. Lines drawn from a point within a triangle to the extremities of the base include an angle greater than the vertical angle of the triangle, (v. Proposition XXVI., Corollary.)... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 331 lapas
...erected at the middle point of one side of a triangle meets the longer of the other two sides. 18. Lines drawn from a point within a triangle to the extremities of the base include an angle greater than the vertical angle of the triangle, (v. Proposition XXVI., Corollary.)... | |
 | Seth Thayer Stewart - 1891 - 422 lapas
...triangle has the greater side opposite to it. Exercise. Prove that the two straight lines drawn from any point within a triangle to the extremities of any side, are together less than the two other sides of the triangle, but include a greater angle. PROPOSITION XIV. I4§. Theorem : If two... | |
 | William Chauvenet - 1893 - 340 lapas
...erected at the middle point of one side of a triangle meets the longer of the other two sides. 18. Lines drawn from a point within a triangle to the extremities of the base include an angle greater than the vertical angle of the triangle, (v. Proposition XXVI., Corollary.)... | |
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Lines drawn from a point within a triangle to the extremities of the base include an angle greater than the vertical angle of the triangle, (v. 
