| John Keill - 1723 - Страниц: 444
...gles; which was to be demonftrated. CorolL Coro//. i. All the three Angles of any one Triangle taken together, are equal to all the three Angles of any other Triangle taken together. Coroll. 2. If two Angles of any one Triangle, either feparately or taken together, be equal to two... | |
| Euclid, John Keill - 1733 - Страниц: 444
...;. which was to be-, demonftrated. Corall. Coroll. i. All the three Angles of any one Triangle taken together, are equal to all the three Angles of any other Triangle taken together. CoroU. 2. If two Angles of any one Triangle, either feparately or taken together, be equal to two Angles... | |
| William Duncan - 1748 - Страниц: 380
...two Right- Angles ; adds by way cf Corollary, that all the three Angles of any one ^Triangle taken together, are equal to all the three Angles of any...Cafes they are equal to two right ones, and Things equa4 to one and the fame thing, are equal to one another. XII. THE laft Tking I flull take g(Mif fefigf... | |
| 1755 - Страниц: 194
...Predicates of the fame Subjeft, it will follow, Some Mm are Deceivers ; fimilar to the Axiom, that Things equal to one and the fame Thing, are equal to one another. V/e alfo fay, i. A -Afán is an Animal. ?.. A Horfeis an Animal. Whence 3. A Man is a Hurfc', would... | |
| Richard Carr (Arithmetician) - 1751 - Страниц: 258
...be equal. Fourth, If equal Things be divided by equal Things, their Quotients will be equal. Fifth, Things equal to one and the fame Thing, are equal to one another. ALGEBRA IS a fpecious Arithmetic, or an Arithmetic in Letters -, it confins of Addition, Subtraction,... | |
| Preceptor - 1758 - Страниц: 590
...to two Right- Angles ; adds by way of Corollary, that all the three Angles of any one Triangle taken together, are equal to all the three Angles of any...Cafes they are equal to two right ones, and Things ojual to one and the fame thing, are equal to one another, XII. THE laft Thing I (hall take notice... | |
| William Duncan - 1759 - Страниц: 384
...way of Corollary, that all the three Angles of anyone Triangle takin together, art equal to all tht three Angles of any other Triangle taken together...one and the fame thing, are equal to one another. XII. THE laft Thing I fhall take Sc^nafrvt notice of in this Practice of the Mathc- '^P^ffc af Jfnnom*... | |
| William Duncan - 1770 - Страниц: 380
...Corollary, that all the three Angles of any one Triangle taken together, are equal to all tht three jingles of any other Triangle taken together : which is evident...one and the fame thing, are equal to one another. „ ... , XII. THE laft Thino- 1 {hall take Sctclia ftrve ° ftiPurpfa notice of in this Practice of... | |
| James Beattie - 1771 - Страниц: 588
...clouds. But who will pretend to prove a mathematical axiom, That a whole is greater than a part, or, That things equal to one and the fame thing are equal to one another ? Every proof mufl be clearer and more evident than the thing to be proved. Gan you then affume any... | |
| John Mair - 1772 - Страниц: 376
...equidiftant means, means, will, by Theorem II. be equal to the double of the inferred middle term ; and things equal. to one and the fame thing are equal to one another. COROLLARIES. 1. Hence, to an extreme and two means given, the other extreme, or fourth proportional,... | |
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