...not always quoted, the Reader will eafily perceive where and in what Senfe they 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 greater than its Part. 3. Every Whole is equal...

...to others given, be granted as possible \ that it is possible for one right line to be perpendicular to another, at a given point or distance : and that...its part. % 3. Every whole is equal to all its parts taken together. 4 If to equal things, equal things be added, the whole will be equal. 5. If from equal...

...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...

...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....

...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,...

...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...

...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...

...to others given, be granted as possible: that it is possible for one right line to be perpendicular to another, at a given point or distance ; and that...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...

...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...

...to another, at a given point or distance ; and that every magnitude has its half, third, fourth, &e. part. Note, Though these postulates are not always...its part. 3. Every whole is equal to all its parts taken together. 4. If to equal things, equal things be added, the whole will be equal. tf> I 5. If...