 | Samuel Hunter Christie - 1847 - 172 pagine
...the angle GHI, and AB is to BC as GH to HI (VI. Def. 1): therefore the two triangles ABC, GHI, having one angle in the one equal to one angle in the other, and the sides about the equal angles proportionals, are equiangular (VI. 6); and therefore the angle BCAis... | |
 | Euclides - 1853 - 176 pagine
...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,... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pagine
...and have those angles equal about which the sides are pro portionals. Let the two triangles ABC, DEF have one angle in the one equal to one angle in the other, viz., the angle BAC to the angle EDF, and the sides about two other angles ABC, DEF proportionals,... | |
 | Euclides - 1855 - 270 pagine
...Triangles that are 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 pagine
...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 pagine
...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 pagine
...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 pagine
...1 Describe a 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...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 pagine
...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 pagine
...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,... | |
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ABC, DEF have one angle in the one equal to one angle in the other, viz. the angle BAC to the angle EDF, and the sides about... 
