| Sir James Kay-Shuttleworth - 1853 - 500 pagina’s
...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 - 147 pagina’s
...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
...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... | |
| 1855
...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... | |
| Euclides - 1855
...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... | |
| British and foreign school society - 1857
...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... | |
| 1871
...the proposition and reduces it to a case of ambiguous equality. Let the triangles ABC, DEF (fig. 9) **have one angle of the one equal to one angle of the other;** namely, L ВАС =¿ DEF, and the sides about two other angles ABC, EDF proportionals, so that AB :... | |
| King's College (University of London) - 1857
...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... | |
| War office - 1858 - 12 pagina’s
...the angles at the base double of the third angle. 8 DIRECT COMMISSIONS. 2. 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. Show also how this follows from... | |
| |