| John Keill - Geometry - 1723 - 364 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 - 239 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 - 393 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 - 466 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 - 464 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 - 520 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 - 159 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 - 1781 - 520 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 - 272 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,... | |
| John Playfair - Euclid's Elements - 1795 - 400 pages
...parallelograms, &c. a 14. i. b 7-. $• c i. 6. a ii. 5. PROP. XV. THE OR. s. .•»-*• " triangles which have- **one angle of the one equal to one angle of the other,** have their iides about the equal angles reciprocally proportional : And triangles which have one angle... | |
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