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" If, from a point within a triangle, two straight lines are drawn to the extremities of either side, their sum will be less than the sum of the other two sides of the triangle. "
Elements of Geometry - Σελίδα 45
των Andrew Wheeler Phillips, Irving Fisher - 1897 - 354 σελίδες
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...ABC, there be drawn two straight lines, OB, OC, one to each extremity of any side, as BC, their sum is less than the sum of the other two sides of the triangle. Produce BO till it meet AC in D ; the line OC is less than the sum of the two lines OD, DC (theorem...

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...triangle, two straight lines be drawn to the extremities of either side, the sum of these two lines will be less than the sum of the other two sides of the triangle. PROPOSITION IX. THEOREM. If the two sides AB, AC, of the triangle ABC, are respectively equal to the...

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Elias Loomis - 1849 - 252 σελίδες
...AC; and AC less than the sum of AB and BC. Therefore, any two sides, &c. I PROPOSITION IX. THEOEEM. If, from a point within a triangle, two straight lines are drawn to the extremities of either side, their sum will be less than the sum of the other two sides of the triangle. Let the two...

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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 σελίδες
...and AC ; and AC less than the sum of AB and BC Therefore, any two sides, &c. PROPOSIT'ON IX. THEOREM. If, from a point within a triangle, two straight lines are drawn to the extremities uf either side, their sum will be less han the sum of the other two sides of the triangle. Let the...

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Benjamin Greenleaf - 1862 - 532 σελίδες
...that the less angle is opposite to the shorter side. PROPOSITION ХП. — THEOREM. 69. If, from any point within a triangle, two straight lines are drawn to the extremities of either side, their sum will be less than that of the other two sides of the triangle. Let the two straight...

Elements of Geometry and Trigonometry: With Practical Applications

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...that the less angle is opposite to the shorter side. PROPOSITION XII. — THEOREM. 69. If, from any point within a triangle, two straight lines are drawn to the extremities of either side, their sum loill be less than that of the other two sides of the triangle. Let the two...

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...that the less angle is opposite to the shorter side. PROPOSITION XII. — THEOREM. 69. If, from any point within a triangle, two straight lines are drawn to the extremities of either side, their sum will be less than that of the other two sides of the triangle. Let the two straight...

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...that if, from a point within a triangle, two straight lines are draCT to the extremities of a sitie, their sum will be less than the sum of the other two sides of the triangle. 5. Prove that if, from a point without a straight line, a perpendicular is drawn to this line, and...




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