 | John Keill - Logarithms - 1723 - 444 pages
...frotalt are equal between themfelves. if - • • . * • T ET the equal Triangles ABC, ADE, have one •*-' Angle of the one equal to one Angle of the other, viz the Angle BAC equal to the Angle DAE. I lay the Sides about the equal Angles are reciprocal, th.it... | |
 | Euclid, André Tacquet - Euclid's Elements - 1727 - 280 pages
...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 - Geometry - 1733 - 444 pages
...the equal Angles reciprocal, ere equal between tbfmfeives. LET the equal Triangles AB C, AD E, have one Angle of the one equal to one Angle of the other, viz. the Angle BAG equal to the Angle DAE. I fay the Sides about the equal Angles are reciprocal, that... | |
 | Robert Simson - Trigonometry - 1762 - 488 pages
...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 - Geometry - 1765 - 492 pages
...are equal to one another. Which was to be demonftrated. PRO P. XV. THEO R. If equal triangles ha'je one angle of the one equal to one angle of the other ; the fides about the equal angles will he reciprocally proportional : and if triangles have one angle... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...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 - Geometry, Plane - 1775 - 338 pages
...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 - Geometry - 1776 - 318 pages
...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... | |
 | Euclid - 1781 - 550 pages
...parallelograms, &c. Q^ED PROP. Book VI. 14. r. • ..• J PRO P. XV. THEO R. QtJAL triangles which have one angle of the one equal to one angle of the other, have their fides >ut the equal angles reciprocally proportional : And Jangles which have one angle... | |
 | Euclid - Euclid's Elements - 1789 - 296 pages
...with the triangle AGH (I. 7.) or ABC, as was to be fhewn. PROP. VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the fides about the equal angles proportional, the triangles will be equiangular. Let ABC, DEF be two 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. 
