 | William Somerville Orr - 1854 - 534 páginas
...PROPOSITION XIV.— THEOREM. Equal parallelograms (AB, BC) which have an angle (B) of the onu equal to an angle of the other, have their sides about the equal angles reciprocally proportional : and parallelograms that have an angle of the one equal to an angle of the other, and the sides about... | |
 | John Playfair - 1855 - 334 páginas
...(11. 5.): wherefore the parallelogram AB is equal (9. 5.) to the parallelogram BC. PROP. XV. THEOR. Equal triangles which have one angle of the one equal to one angle of the other have their sfdes about the equal angles reciprocally proportional; And triangles which have one angle in the one... | |
 | 1855 - 264 páginas
...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 - 270 páginas
...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 - 548 páginas
...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 - 420 páginas
...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 :... | |
 | 1857 - 486 páginas
...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 - 578 páginas
...of 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...about the equal angles reciprocally proportional. Show also how this follows from the arithmetical method of representing a parallelogram. 3. Solve the... | |
 | Great Britain. Parliament. House of Commons - 1858 - 694 páginas
...Triangles of the same altitude are one to the other as their bases. 6. PROP. VI. — 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... | |
 | Great Britain. Parliament. House of Commons - 1859 - 140 páginas
...ratio. 17. Inscribe, in a given circle, first, a regular hexagon ; secondly, a regular pentagon. 18. Equal triangles which have one angle of the one equal...about the equal angles reciprocally proportional. 19. Investigate a trigonometrical expression for the area of a triangle in terms of two sides, and... | |
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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. 
