 | 1852 - 1080 σελίδες
...A c : A b : : A" E": A" F". Now it is demonstrated in treatises on geometry,* that if two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles are equiangular, and consequently similar... | |
 | 1852 - 512 σελίδες
...triangles on each side of it are similar to the whole triangle and to one another. 2. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about their equal angles reciprocally proportional. 3. Equiangular paralellograras... | |
 | Sir James Kay-Shuttleworth - 1853 - 522 σελίδες
...triangles on each side of it arc similar to the whole triangle and to one another. 2. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about their equal angles reciprocally proportional. 3. Equiangular parallelograms... | |
 | Euclides - 1853 - 176 σελίδες
...proportional db is found. Which was to done. PROPOSITION XIV. — THEOREM. Equal parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one... | |
 | Euclides - 1853 - 334 σελίδες
...their sides about this pair of equal angles reciprocally proportional And if two parallelograms, which have one angle of the one equal to one angle of the other, have the sides about this pair of equal angles reciprocally proportional: then they shall be equal... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...proportional DB is found. Which was to be done. PROPOSITION XIV. THEOR. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : and parallelograms that have one... | |
 | 1855 - 264 σελίδες
...the hase shall have the same ratio which the other sides of thi; triangle have. 2. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles bhall be equiangular, and shall have those... | |
 | Euclides - 1855 - 270 σελίδες
...parallels passes through the extremities of all the parallels. PROP VII. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides about another angle in each, proportionals ; and if the remaining angle in each be of the same... | |
 | 1857 - 486 σελίδες
...and the angle in a segment less than a semicircle is greater than a right angle. 9. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those... | |
 | British and foreign school society - 1857 - 548 σελίδες
...are due to the eighteenth century? HIGHER MATHEMATICS AND MATHEMATICAL PHfSÏCg. 1. If two triangles have one angle of the one equal to one angle of the other atid the sides "aboiift two other angles proportional ; then if each of the remaining angles be less... | |
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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
