 | Edward Rutledge Robbins - 1915 - 282 Seiten
...= 00° (104). .-. MB = BC (115). .-. AB, or 2 x J/fi, = 2 x CB (Ax. 6). PROPOSITION L. THEOREM 142. The perpendiculars from the vertices of a triangle to, the opposite sides meet in a point. .£s Given: A ABC, ^IX-Lto BC, Br-Lto AC, and CZ -Lto AB. To Prove : These three J§... | |
 | Frederick Shenstone Woods, Frederick Harold Bailey - 1917 - 536 Seiten
...69. Prove analytically that the medians of a triangle meet in a point. 70. Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point. 71. Prove analytically that the straight lines joining the middle points of the adjacent... | |
 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - 1918 - 296 Seiten
...about this joining line? \Vhere does 0 lie with respect to the J- bisector of the third side ? 15. The perpendiculars from the vertices of a triangle to the opposite sides are concurrent. , Given theJs-lQ, BR, and CP. Through \ R/ A, B, C draw B'C", C'A', and A'B' parallel to ,, , ^,fl CB, AC,... | |
 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - 1918 - 296 Seiten
...proved about this joining line? Where does 0 lie with respect to the .L bisector of the third side ? 15. The perpendiculars from the vertices of a triangle to the opposite sides are concurrent. , c Given theJs.-lQ, Bli, and CP. Through A, B, C draw B'C", C'A', and A'R parallel to CB, AC, and... | |
 | Alexander H. McDougall - 1919 - 232 Seiten
...,. BG BD эг, by alternation, ^c = DC' Л. G coincides with D. Л AD, BE, С F are concurrent. 5. The perpendiculars from the vertices of a triangle to the opposite sides are concurrent. Fut. 9. In Д ABC, draw AX _L BC, BY _|_ ÇA, CZ J_ AB. To prove that AX, BY, CZ are concurrent. 1.... | |
 | Charles Ernest Weatherburn - 1921 - 218 Seiten
...EXERCISES ON CHAPTER HI. Give vectorial solutions of the following : 1. The perpendiculars let fall from the vertices of a triangle to the opposite sides are concurrent. 2. The perpendicular bisectors of the sides of a triangle are concurrent. 3. The vector area of the... | |
 | 1927 - 324 Seiten
...perpendicular bisectors of the sides of a triangle. 34. The bisectors of the angles of a triangle. 35. The perpendiculars from the vertices of a triangle to the opposite sides. 36. The medians of a triangle. 37. A copy of a given geometric design. C. MAKING CORRECT INFERENCES... | |
 | David Eugene Smith, William David Reeve - 1927 - 426 Seiten
...perpendicular bisectors of the sides of a triangle. 34. The bisectors of the angles of a triangle. 35. The perpendiculars from the vertices of a triangle to the opposite sides. 36. The medians of a triangle. 37. A copy of a given geometric design. K. Making Correct Inferences... | |
 | William Leonard Schaaf - 1928 - 176 Seiten
...perpendicular bisectors of the sides of a triangle. q. The bisectors of the angles of a triangle. r. The perpendiculars from the vertices of a triangle to the opposite sides. s. The medians of a triangle. t. A copy of a given geometric design. E. Psychological Considerations... | |
 | 1915 - 772 Seiten
...subject. For instance, he omitted from the First Book the proposition that the perpendiculars drawn from the vertices of a triangle to the opposite sides are concurrent. The relegation to the position of examples of all non-essential propositions would lighten every subject... | |
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Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point. 
