| Euclid, John Keill - Geometry - 1723 - 442 pages
...the Angle ABC is equal to the Angle DCE; but the Angle ACD has been proved to be equal to the Angle **BAC; therefore the whole Angle ACE is equal to the two Angles ABC, BAC;** and if ACB, which is common, be added, then the Angles ACE, ACB, are equal to the Angles BAC, ACB,... | |
| Euclid, John Keill - Geometry - 1733 - 397 pages
...Angle ABC is equal to the Angle DCE j but the Angle ACD has been proved to be equal to the Angle BAG; **therefore the whole Angle ACE is equal to the two Angles ABC,** BAG ; and if ACB, which is common, be added, then the Angles ACE, ACB, are equal to the Angles BAG,... | |
| John Keill - Geometry - 1772 - 462 pages
...the Angle ABC is equal to the Angle DCE ; but the Angle ACD has been proved to be equal to the Angle **BAC; therefore the whole Angle ACE is equal to the two Angles ABC, BAC;** and if ACB, which is common, be added, then the Angles ACE, ACB, are equal to the Angles BAC, ACB,... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...Therefore the angle ABC is equal to the angle DCE : And the angle BAC was proved to be equal to ACD : **Therefore the whole angle ACE is equal to the two angles ABC, BAC ; add the common angle ACB,** then the angles ACE, ACB are equal to the angles ABC, BAC, ACB : But ABC, BAC, ACB are equal to two... | |
| Euclid - Geometry - 1776 - 318 pages
...fides about them proportional, viz. BA to AC as CD to DE, the triangles are equiangular b, viz. theb 6. **angle ABC equal to DCE, and ACB to DEC ; but the angle...angles ABC, ACB, BAC ; that is, equal to two right** angles0; therefore BCE is one right lined. Wherefore, c 32. i. Sec. cl 14. i. PROP. XXXIII. THEO R.... | |
| Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...DCE : therefore the angle ABC is equal to DCE ; and alfo the angle ACD has been demonftrated to be **equal to BAC : therefore the whole angle ACE is equal to the two angles ABC, BAC** ; let the common angle ACB be added ; therefore the 'two angles ACE, ACB are equal to the three angles... | |
| Euclid - 1781 - 550 pages
...Therefore the angle ABC is equal to the angle DCE: And the angle BAC was proved to be equal to ACD : **Therefore the whole angle ACE is equal to the two angles ABC, BAC ; add** th? common angle ACB, then the angles ACE, ACB are equal to the angles ABC, BAC, ACB : But ABC, BAC,... | |
| John Keill - Geometry - 1782 - 399 pages
...Angle ABC is equal to the Angle DCE i tut the Angle AC D has been proved to be equal to the Angle BAG; **therefore the whole Angle ACE is equal to the two Angles ABC,** BAG; and if ACB, which is common, be added, then the Angles ACE, AGE, are equal to the Angles BAC,... | |
| John Playfair - Euclid's Elements - 1795 - 444 pages
...was proved b 6. 6, Book VI. ved to be equal to ACD : Therefore the whole angle ACE *— ~v— •* **is equal to the two angles ABC, BAC ; add the common angle ACB,** then the angles ACE, ACB are equal to the angles ABC, B \C, AC B : But ABC, BAC, AC B are equal €32.i.... | |
| John Playfair - Euclid's Elements - 1804 - 470 pages
...ABC is equal to the angle DCE : And tile angle BAC was proB E ved Book VI. vecl to be eqnal to ACD : **Therefore the whole angle ACE '"~ " ' is equal to...the two angles ABC, BAC ; add the common angle ACB,** then the angles ACE, ACB are equal to the angles ABC, BAC, ACB : But ABC, BAC, ACB are equal c 32-... | |
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