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" 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, the remainders are equal. "
A Treatise of Practical Surveying: Which is Demonstrated from Its First ... - Σελίδα 32
των Robert Gibson - 1806 - 452 σελίδες
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1795 - 319 σελίδες
...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....

A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 440 σελίδες
...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...

The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1811 - 508 σελίδες
...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...

The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1814 - 508 σελίδες
...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....

Elements of the Philosophy of the Human Mind, Τόμος 2

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,...

A Philosophical and Mathematical Dictionary: Containing an ..., Τόμος 2

Charles Hutton - 1815 - 628 σελίδες
...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...

English Synonymes Explained, in Alphabetical Order

George Crabb - 1816 - 772 σελίδες
...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...

A Treatise on Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1818 - 478 σελίδες
...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...

English Synonyms Explained, in Alphabetical Order: With Copious ...

George Crabb - 1818 - 904 σελίδες
...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...

Elements of the Philosophy of the Human Mind, Τόμοι 1-2

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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