 | 1880 - 594 σελίδες
...E. Then, since the angle ABE is equal to the angle ACE, and the angle DBE to the angle DCE (I. 5); therefore the whole angle ABD is equal to the whole angle ACD. Therefore, in the triangles ABD, ACD, the sides AB, BD are equal to AC, CD, each to each, and the angle... | |
 | Euclides - 1881 - 236 σελίδες
...to the side CD, the side AC to the side BD, and the angle BAC to the angle BDC. Because the mi:; lc ABC is equal to the angle BCD, and the angle CBD to...angle ACB. Therefore the whole angle ABD is equal (Ax. 2) to the whole angle A CD. And the angle BAC has been proved to be equal to the angle BDC. Therefore... | |
 | Moffatt and Paige - 1883 - 516 σελίδες
...remaining angle of the one is equal to the remaining angle of the other, namely, BAC to BD C. And because the angle ABC is equal to the angle BCD, and the angle...the whole angle ABD is equal to the whole angle ACD (Ax. 2). And the angle BAG has been proved equal to BDC ; therefore the opposite sides and angles of... | |
 | Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...and the side AC equal to the side BD, and the angle BA C equal to the angle CDB. [I. 26. And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, the whole angle ABD is equal to the whole angle A CD. [A x. 2. And the angle BAG has been shewn to... | |
 | Euclides - 1884 - 214 σελίδες
...In the triangles ABC and DCB; because AB is equal to CD, and BC is common to the two triangles, and the angle ABC is equal to the angle BCD ; and the angle ACB is equal to the angle CBD. } therefore AC is equal to BD, \ Hyp. gProved. I. 4. Because the angle... | |
 | Seymour Eaton - 1899 - 362 σελίδες
...equal to the side BD, and the angle BAC is equal to the angle CDB (Proposition 26). CO And because the angle ABC is equal to the angle BCD and the angle...the whole angle ABD is equal to the whole angle ACD. And the angle BAC has been shown to be equal to the angle CDB. Therefore the opposite sides and angles... | |
 | Euclid - 1908 - 550 σελίδες
...is equal to CD, 25 ar\& AC \.o BD, and further the angle BA C is equal to the angle CDB. And, since the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, the whole angle ABD is equal to the whole angle ACD. [CN 2] 30 And the angle £ AC was also proved... | |
 | John William Norie, J. W. Saul - 1917 - 642 σελίδες
...AC to BD, and the angle BAG to the angle BDC, and because the angle ABC is equal to the angle BC 9, and the angle CBD to the angle ACB, therefore the whole angle ABD is equal to the whole angle ACD ; and the angle BAG has been shown to be equal to BDC ; therefore the opposite sides and angles of... | |
 | Euclid - 454 σελίδες
...AB is equal to CD, 25 and AC to ^D, and further the angle BAC is equal to the angle CDB. And, since the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, the whole angle ABD is equal to the whole angle ACD. [CX*] 30 And the angle BACvtas also proved equal... | |
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... therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i. 
