| Robert Gibson - 1795 - Liczba stron: 319
...are to be underftood. AXIOMS or Self-evident TRUTHS. 1 . Things that are equal to one and the fame **Thing, are equal to each other. 2. Every Whole is...4. If to equal Things, equal Things be added, the** Wholes will be equal. 5. If from equal Things, equal Things be deducted, the Remainders will be equal.... | |
| Robert Gibson - 1808 - Liczba stron: 440
...others given, be granted as possible : that it is possible for one right line to be perpen^ dicular **to another, at a given point or distance ; and that...its part. 3. Every whole is equal to all its parts** takett together. 4. If to equal things, equal things be added, the wholes will be equal. 5. If from... | |
| Robert Gibson - 1811 - Liczba stron: 508
...will easily perceive where* and in what sense they are to be understood. " ^AXIOMS or telf-evi'dent **TRUTHS. ' •' • » « 1. Things that are equal...each other. 2. Every whole is greater than its part.** , i 3. Every whole is equal to all its parts taken together. 4. If to equal things, equal things be... | |
| Robert Gibson - 1814 - Liczba stron: 508
...reader will easily perceive where, and in what sense they are to be understood. AXIOMS or self-cvMcnt **TRUTHS. 1. Things that are equal to one and the same thing, are equal to each other. 2.** Ever}7 whole is greater than its part. 3. Every whole is equal to all its parts taken together. 4.... | |
| Dugald Stewart - 1814
...right angles ;" are manifestly principles which bear no analogy to such harren truirms as these, " **Things that are equal to one and the same thing are equal to** one another." " If equals be added to equals, the wholes are equal." " If equals be taken from equals,... | |
| Charles Hutton - 1815 - Liczba stron: 628
...radius a circle may be described. — As to axioms, he has a great number ; as, That two things which **are equal to one and the same thing, are equal to each** other, &c. POTASH, in chemistry, one of the three fixed alkalies, procured from the burnt ashes of... | |
| George Crabb - 1816 - Liczba stron: 772
...moral agents who are susceptible of moral truth ; it comes home to the common sense of all mankind. * " **Things that are equal to one and the same thing are equal to each** other." — " Two bodies cannot occupy the same space at the same time," are axioms in mathematics... | |
| Robert Gibson - 1818 - Liczba stron: 478
...circumference of a circle may be described. 4,. It is also required that the equality of lines and singles **to others given, be granted as possible: that it is...equal to one and the same thing. are equal to each** other. @, The whole is greater than its part. • * 1 3. The whole is equal to all its parts. 4. If... | |
| George Crabb - 1818 - Liczba stron: 904
...agents who are 'susceptible of moral truth; it comes home to the common sense of all mankind. • " **Things that are equal to one and the same thing are equal to each** other,"—" Two bodies cannot occupy the same space at the same tune," are axioms in mathematics and... | |
| Dugald Stewart - 1821
...right angles;" ire manifestly principles which bear no analogy to such barren <ruunu as these, "Tbiofs **that are equal to one and the same thing are equal to** one another." " If equals be added to enuals, the wholes are equal." "If equals be taken from equals,... | |
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