 | John Keill - 1723 - 444 σελίδες
...Proportion to the Triangle BAD : And fo the Triangle ABC is equal to the Triangle ADE. Therefore equal 'triangles having one Angle of the one equal to one Angle of the other, have their Sides about the equal Angles reciprocal ; and thofe Triangles that have one Angle of the... | |
 | Euclid, André Tacquet - 1727 - 280 σελίδες
...the firft Part. i PROP. XXVI. Theorem. IF two Triangles (XandZ) have two Angles equal&g. 2;. to two, one Angle of the one equal to one Angle of the other ( B to F and C to /), and one Side of one Equal to one of the other, whether it be that •which is... | |
 | Euclid, John Keill - 1733 - 444 σελίδες
...reciprocal, are equal kctwetn themfehes ; which was to be dernonftrated. PROPOSITION XV, THEOREM. Equal 'Triangles having one Angle of the one equal to one Angle of the other, have their Sides about the equal Angles reciprocal ; and thofe Triangles that have one Angle of the... | |
 | Robert Simson - 1762 - 488 σελίδες
...Therefore equal parallelograms, &c. Q^ED PROP, Book VI. PRO P. XV. THEO R. LJ AL triangles which have one angle of the one equal to one angle of the other, have their fides about the equal angles reciprocally proportional ; and triangles which have one angle... | |
 | Euclid - 1765 - 492 σελίδες
...rectangle under c E and cc, fo is the parallelogram AC, to the parallelogram cr . WWD If fhe're be two triangles having one angle of the one equal to one angle of the other : thofe triangles will be to one an•other in the ratios compounded of the ratio of the fides containing... | |
 | John Keill - 1772 - 462 σελίδες
...jut-ten ,'ed the hsmakgoui Sides ; which was to be demonltrated. PROPOSITION VII. THEOREM. If tbere are two Triangles, having one Angle of the one equal to one Angle of (be other, and the . , Sides about the other Angles proportional \ and if the remaining third Angles... | |
 | Robert Simson - 1775 - 534 σελίδες
...found. Which was to be done. - *' ' PROP. Book VI. PROP. XIV. THEO R. EQUAL parallelograms which have one angle of the one equal to one angle of the other, have their fides about the equal angles reciprocally proportional: And parallelograms that have one... | |
 | Benjamin Donne - 1775 - 338 σελίδες
...in one is equal to the remaining Angle in the other Triangle. 8 1. Co ROLL. 3. If two Triangles have one Angle of the one equal to one Angle of the other, then the Sum of the two remaining Angles of one Triangle is equal to the Sum of the two remaining Angles... | |
 | Euclid - 1776 - 326 σελίδες
...right lines AB, BC : Which was to be done. PROP. XIV. and XV. THEO R. EQJJ . AL parallelograms and triangles, having one angle of the one equal to one angle of the other, have the ftdes about 5 the equal angles reciprocally proportional ; and thefe parallelograms and triangles... | |
 | Euclid - 1776 - 318 σελίδες
...given right lines AB, BC : Which was to be done. PROP. XIV. and XV. THEO R. E^JJ AL parallelograms and triangles, having one angle of the one equal to one angle of the other y have the fides about the equal angles reciprocally proportional-, and theje parallelograms and triangles... | |
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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. 
