 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 pagina’s
...likewise those which are terminated at the other extremity equal to one another. If it be possible, on the same base AB, and on the same side of it, let there be two triangles ACB, ADB in which the side AC is equal to the side AD, and also the side BC... | |
 | Euclid - 1901 - 672 pagina’s
...side of it, there be two equal parallelograms, then they shall be between the same parallels. Upon the same base AB and on the same side of it, let there be two equal parallelograms ABD С and ABE G. Then they shall be between the same parallels.... | |
 | Euclid - 1904 - 488 pagina’s
...likewise those which are terminated at the other extremity equal to one another. If it be possible, on the same base AB, and on the same side of it, let there be two triangles ACB, ADB in which the side AC is equal to the side AD, and also the side BC... | |
 | George Albert Wentworth - 1904 - 496 pagina’s
...meeting AD at M. Then MD = PE. (Why ?) PG + PF = AM (Ex. 60). Ex. 62. ABC and ABD are two triangles on the same base AB, and on the same side of it, the vertex of each triangle being without the other. If AC equals AD, show that BC cannot equal BD... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 496 pagina’s
...after the synthetic and analytic methods have failed. EXERCISE 18 1. Given ABC and ABD, two triangles on the same base AB, and on the same side of it, the vertex of each triangle being outside the other triangle. Prove that if AC equals AD, then BC cannot... | |
 | George Albert Wentworth, David Eugene Smith, Joseph Clifton Brown - 1918 - 304 pagina’s
...many sides has the polygon ? Exercise 42. Indirect Method of Proof 1. Given ABC and ABD, two triangles on the same base AB, and on the same side of it, the vertex of each triangle being outside the other. If AC is equal to AD, prove that BC cannot be... | |
 | G. P. West - 1965 - 364 pagina’s
...Calculate Z.BAE, Z.AEB. TRIANGLE CALCULATIONS 309 14. A square ABCD and a regular pentagon ABEFG stand on the same base AB and on the same side of it. Calculate Z.CBE and Z.CEF. 15. In fig. 2-22, if y = 70°, calculate x. Also prove that 3y — *= 180°... | |
 | 1879 - 636 pagina’s
...of A and B. EUCLID. Mr. Pirani. Book I. (Three of these must be done.) 1. ABC, ABD are two triangles on the same base AB and on the same side of it ; AC is equal to AD ; prove that BCis not equal to BD. • 2. ABC, DEF are two triangles; the angles... | |
 | Euclid - 1845 - 336 pagina’s
...AEC, BED are equivalent ; show that BC is parallel to AD. 2. ABC, ABD, ABE are equivalent triangles on the same base AB and on the same side of it ; show that CDE is a straight line. 3. ABC is a triangle, F the mid-point of AB and E that of AC ;... | |
 | Henry Sinclair Hall - 1924 - 316 pagina’s
...of the circle, in terms of the radius. XXXIV. 1. Unequal segments of two equal circles are described on the same base AB and on the same side of it. Prove that the angles in them are supplementary. 2. AP, BQ are altitudes of A ABC; M is the mid-point... | |
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On the same base, and on the same side of it, there cannot be two triangles... 
