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 Βιβλία Βιβλία ... 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. The Elements of Euclid, containing the first six books, with a selection of ... - Σελίδα 209
των Euclides - 1874
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## The first six books of the Elements of Euclid, with numerous exercises

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,... ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 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.... ## The Elements of Euclid, with many additional propositions, and explanatory ...

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... ## Manual of Method for the use of teachers in elementary schools

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... ## National Society's Monthly Paper

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... ## Examination papers used at the examinations for admission to the Royal ...

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... ## Manual of Euclid: books iv., v., vi., by J.A. Galbraith and S. Haughton

Euclides - 1859 - 136 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... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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,... ## The Elements of Euclid with Many Additional Propositions and Explanatory Notes

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... ## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

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,...