 | Sir John Leslie - 1809 - 522 Seiten
...the other. Let the triangles ABC and DEF have the angle BAC equal to EDF, the angle BCA to EFD, and a side of the one equal to a side of the other, whether it be interjacent or opposite to those equal angles; the triangles will be equal. First, let... | |
 | Daniel Cresswell - 1816 - 352 Seiten
...spherical triangles, have two angles of the one equal to two angles of the other, each to each, and have a side of the one equal to a side of the other, namely, the sides adjacent to the equal angles, the other sides of the two triangles shall be equal,... | |
 | Euclides - 1821 - 294 Seiten
...&c. •jy two triangles have two angles of the one respectively equal to two angles of the other, and a side of the one equal to a side of the other, whether it be adjacent or opposite to these equal angles, the remaining tides and angles are respectively... | |
 | Euclid - 1822 - 222 Seiten
...angles o/F;g.4o. the one respectively equal to lu'o angles of the other See N( K to D, and C to F), and a side of the one equal to a side of the other, whether it be adjacent (BCtoDF) or opposite ( BA to DE) to those equalangj.es, the remaining sides... | |
 | Euclides - 1826 - 226 Seiten
...circle which are parallel to one another. 1. If two isosceles triangles be of equal altitudes, and have a side of the one equal to a side of the other, then shall their bases be equal. PROPOSITION XV. THEOREM.* In a circle the greatest line is the diameter,... | |
 | Euclid - 1826 - 234 Seiten
...Therefore in a circle, &c. QED Deductions. 1. If two isosceles triangles be of equal altitudes, and have a side of the one equal to a side of the other, then shall their bases be equal. 2. There can only be drawn two equal right lines in a circle which... | |
 | Euclid - 1833 - 216 Seiten
...angles of Fig. 40. the one respectively equal to two angles of the other See N(B to D, and C to F), and a side of the one equal to a side of the other, (BC to DF or BA to DE), either the sides adjacent to or opposite to those equal angles ; the remaining... | |
 | Dionysius Lardner - 1838 - 382 Seiten
...DEF) have two angles of the one respectively equal to two angles of the other (B to D and C to F), and a side of the one equal to a side of the other similarly placed with respect to the equal angles, the remaining sides and angles are respectively... | |
 | Euclides - 1842 - 316 Seiten
...to one another. QED PROP. X. THEOR. IF two right-angled triangles have a common hypotenuse, and have a side of the one equal to a side of the other, the remaining side and the remaining angles in each will be respectively equal to one another. Let... | |
 | Euclid - 1853 - 176 Seiten
...DEF) have two angles of the one respectively equal to two angles of the other (B to E and C to F), and a side of the one equal to a side of the other, either [1] the sides adjacent to, or [2] the sides opposite to those equal angles (BC to EF or BA to... | |
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From this it will follow that if there are two triangles which have a side of the one equal to a side of the other, and the... 
