| Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...angle ABD is equal to the angle ADB ; and fince (by 32. i.) the three angles of every triangle are equal to two right angles; therefore the three angles of the triangle ABD viz. ABD, ADB, BAD are equal to two right angles ; but BAD is a right angle (being an angle of... | |
| Proclus (Diadochus.) - 1789 - 474 pages
...be added. The angles, therefore, acd, acb, are equal to the three angles of the triangle ab c. But the three angles of the triangle abc , are equal to two right. 1 66 COMMENTARIES OF PROCLUS. right. And hence, the angles acd^ acb, are equal to two right. But if... | |
| Miles Bland - Euclid's Elements - 1819 - 444 pages
...BD, CD; produce BD to Et and from D draw DF perpendicular to AC; the angle ADE is equal to CDF. Since the three angles of the triangle ABC are equal to two right angles, .-. the angles DAB, DBA, DCF are together equal to one right angle, ie to DCF, and CDF; whence the... | |
| Miles Bland - Euclid's Elements - 1819 - 442 pages
...produce BD to E, and from D draw DF perpendicular to AC; the angle ADE is equal to CDF. *- EĽ c Since the three angles of the triangle ABC are equal to two right angles, .-.the angles DAB, DBA, DCF are together equal to one right angle, ie to DCF, and CDF; whence the two... | |
| John Radford Young - Geometry, Modern - 1833 - 238 pages
...AD to E, and from D draw DF perpendicular to BC ; the angle BDE is equal to CDF. -- E IT . O Because the three angles of the triangle ABC are equal to two right angles (Prop. XVI. Cor. 1.); therefore the angles DBA, DAB, DCF, are together equal to one right angle, that... | |
| Euclides - 1842 - 316 pages
...right angles. Again : each of the interior angles at A, B, and c, with the adjacent exterior angle, are together equal to two right angles ; therefore the three angles of the triangle, together with the three exterior angles, are equal to six right angles. Thus the angles A, B, and c... | |
| Samuel Bailey - Logic - 1851 - 256 pages
...persons. IMPLIED FACTS. This horned animal is ruminant. The lines A and B are equal to each other. The three angles of the triangle ABC are equal to two right angles. He could not be guilty of the offence committed at that time in London. He could not be robbed of a... | |
| John Stuart Mill, Alfred Henry Killick - Logic - 1888 - 288 pages
...of this are : — (a.) Proving a geometrical theorem ly means of a diagram. Thus having proved that the three angles of the triangle ABC are equal to two right angles, we conclude that this is true of every triangle, not because we find it true of ABC, but for the same... | |
| Proclus - Mathematics - 1992 - 432 pages
...be added to both. The angles ACD and ACB are then equal to the three angles of the triangle ABC. But the three angles of the triangle ABC are equal to two right angles; [and therefore angles ACD and ACB are equal to two right angles].44 And if upon a straight line and... | |
| 1840 - 632 pages
...of a right angle." The inference that Mr. S. attempts to deduce from the above proposition is, that the three angles of the triangle ABC, are equal to two right angles. He remarks, " Now, from this it might V somewhat inferred (this is rather an equilateral triangle to... | |
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