 | Euclides - 1853 - 176 σελίδες
...and have those angles equal about which tJie sides are proportionals. LET the two triangles abС, def have one angle in the one equal to one angle in the other, viz. the angle baС to the angle edf, and the sidei about two other angles abС, def proportionals,... | |
 | Euclides - 1855 - 270 σελίδες
...similar to the same triangle, are similar to one another. Corollary 4. — Isosceles triangles which have one angle in the one equal to one angle in the other are similar. Corollary 5. — A parallel to the base of a triangle cuta off from it a similar triangle.... | |
 | Euclides - 1855 - 230 σελίδες
...is to AD, as EA is to AB). [2.] And if triangles (ABC and ADE) have an angle in the one equal to an angle in the other, and their sides about the equal angles reciprocally proportional, they are equal to oue another. CONSTRUCTION. Let the sides CA, AD, be placed contiguous, in the same... | |
 | W F. Richards - 1856 - 198 σελίδες
...angle. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one angle in the one equal to one angle in the other, viz., those which are opposite to equal sides, show that these two triangles are not necessarily equal... | |
 | 1856 - 376 σελίδες
...angle. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one angle in the one equal to one angle in the other, viz. those which are opposite to equal sides, show that these two triangles are not necessarily equal... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...circle which shall touch a given straight line, and pass through two given points. 2. Triangles which have one angle in the one equal to one angle in the...reciprocally proportional, are equal to one another. 3. If a solid angle be contained by three plane angles, these plane angles taken together are less... | |
 | Euclid - 1859 - 150 σελίδες
...the equal angle* reciprocally proportional ; and triangles which have an angle in the one equal to an angle in the other, and their sides about the equal...reciprocally proportional, are equal to one another. PART L Statement — Let the triangles ABD and CBL be equal, and let their angles at B be equal ; I... | |
 | Robert Potts - 1860 - 380 σελίδες
...shall have those angles equal about which the sides are proportionals. Let the two triangles ABC, DEF have one angle in the one equal to one angle in the other, viz. the angle BA C to the angle EDF, and the sides about two other angles ABC, DEF proportionals,... | |
 | Eucleides - 1860 - 396 σελίδες
...is to AD, as EA is to AB). [2.] And if triangles (ABC and ADE) have an angle in the one equal to an angle in the other, and their sides about the equal angles reciprocally proportional, they are equal to ooe another. CONSTRUCTION. Let the sides CA, AD, be placed contiguous, in the same... | |
 | Euclides - 1860 - 288 σελίδες
...those angles equal about which the sides are proportionals. Given the two triangles ABC and DEE having one angle in the one equal to one angle in the other ; namely,- the angle BAG to the angle EDF, and the sides about two other angles ABC and DEF, proportionals,... | |
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... triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another. 
