 | William James Milne - 1899 - 258 sider
...the points of contact and the diameter drawn through one of them. Ex. 268. The lines, which bisect the vertical angles of all triangles on the same base and on the same side of it, and having equal vertical angles, meet at the same point. . Ex. 269. AB and AC are tangents at B and... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 265 sider
...of AB and making Z. XPA = Z SPY, then A APX and YPB are mutually equiangular. 287. If any number of triangles on the same base and on the same side of it have equal vertical angles, the bisectors of the angles are concurrent. PROPOSITION XII. 196. Theorem.... | |
 | Seymour Eaton - 1899 - 362 sider
...equilateral triangle, meet in D. Prove that AD is equal to BD. Lesson No. 6 PROPOSITION 7. THEOREM WJien two triangles on the same base and on the same side of it have their sides terminated at one end of the base equal, then the sides terminated at the other end... | |
 | 1899 - 824 sider
...angle. If P be any point within the quadrilateral A KCD, prove that BO + CD + DA > PA + РП. 3. Equal triangles on the same base and on the same side of it are between the same parallels. If POQ, ROS are two straight lines through 0, and the triangles POJt,... | |
 | 1899 - 972 sider
...marks being assigned to each. Dr. MOHAN, Head Inspector. Mr. PBDLOW, District Inspector. A. 1. Equal triangles on the same base and on the same side of it art between the same parallels. Prove. 2. Define right anyle, rtctilineal angle, circle, rhombus, plain... | |
 | Webster Wells - 1899 - 424 sider
...meeting AB at .F. Prove Z AFE = 3 Z ^.F. (Z vI-FE is an ext. Z of AB FD. ) 100. If ABC and ABD are two triangles on the same base and on the same side of it, such that AC = BD and AD = BC, and AD and BC intersect at O, prove triangle OAB isosceles. 101. If... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 416 sider
...side of AB and making ZXPA = ZBPY, then A APX and YPB are mutually equiangular. 287. If any number of triangles on the same base and on the same side of it have equal vertical angles, the bisectors of the angles are concurrent. 288. Prove that two chords... | |
 | Manitoba. Department of Education - 1900 - 558 sider
...in the same. 6. Any two sides of a triangle are together greater than the third 7. ABC, DEC are two triangles on the same base and on the same side of it, the vertex of each being without the other. If AC, BD intersect then their sum is greater than the... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...on equal bases, that is the greater which has the greater altitude. PROPOSITION 39. THEOREM. Equal triangles on the same base, and on the same side of it, are between the same parallels. Let the triangles ABC, DBC which stand on the same base BC, and on... | |
 | Eldred John Brooksmith - 1901 - 368 sider
...and BC respectively, such that the sum of the lines DF, FG, GE has the least possible value. 2. Equal triangles on the same base and on the same side of it are between the same parallels. Use this proposition to show that the straight line joining the middle... | |
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DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i. 
