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" Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles... "
Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... - Σελίδα 293
των Sir John Leslie - 1820 - 465 σελίδες
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First and Fundamental Truths: Being a Treatise on Metaphysics

James McCosh - 1889 - 390 σελίδες
...that there is such a country. It is not by immediate perception, but by reasoning, that we know that the angles of a triangle are together equal to two right angles. But there are truths which are seen at once on the bare inspection of the objects. We know ourselves...

Treatise on Trigonometry ...

William Ernest Johnson - 1889 - 574 σελίδες
...to — 1. cox A is + *e; and algebraically increases from 1 to o> . 140. From the proposition that the angles of a triangle are together equal to two right angles many important results follow. Thus, if А, В, С are the angles of a triangle, we have А+Б+С=Ш°,...

On Truth: A Systematic Inquiry

St. George Jackson Mivart - 1889 - 632 σελίδες
...consideration of but a few, sometimes but one or two, instances. Thus no one can pretend we know that " the angles of a triangle are together equal to two right angles," by a complete induction — by an examination of every existing triangle. The examination of a very...

The Connection Between Thought and Memory

Herman Tyson Lukens - 1895 - 200 σελίδες
...the new judgment only adds a further explanation. Thus, for example, the geometrical proposition, " the angles of a triangle are together equal to two right angles," is a genuine judgment. The act of conception, to which it tends, consists in the completion of the...

Analytic Psychology, Τόμος 2

George Frederick Stout - 1896 - 328 σελίδες
...particular is not enough ; we must contra-distinguish identity from differences. If we follow the proof that the angles of a triangle are together equal to two right angles, in the case of a particular triangle, this particular one is for us representative of all others, because,...

English Mechanic and World of Science: With which are Incorporated ..., Τόμος 57

1893 - 652 σελίδες
...ceittrc of the circle than the Ifgs. Suppose we had two straight lines at right angles (case 1). Fm. 33. The angles of a triangle are together equal to two right angles, therefore the marked angle is loss than a right angle, and the thickened line less than the dotted...

Analytic Psychology, Τόμος 2

George Frederick Stout - 1902 - 330 σελίδες
...is not enough ;. we must centra-distinguish identity from differences. If we follow the proof that the angles of a triangle are together equal to two right angles, in the case of a particular triangle, this particular one is for us representative of all others, because,...

Problems in Arithmetic: Oral and Written : for Supplementary Or Independent ...

Gordon Augustus Southworth - 1903 - 152 σελίδες
...one right angle ; an obtuse triangle has one obtuse angle ; an acute triangle has three acute angles. The angles of a triangle are together equal to two right angles, 180°. Underwriters. Insurance companies. Unit. One ; a single thing. Vertex. The point in an angle...

For advanced grades

Gordon Augustus Southworth, John Charles Stone - 1904 - 334 σελίδες
...one right angle ; an obtuse triangle has one obtuse angle ; an acute triangle has three acute angles. The angles of a triangle are together equal to two right angles, 180°. Underwriters. Insurance companies. Unit. One ; any thing used as a basis or standard of measurement...

Elementary Lessons in Logic: Deductive and Inductive . With Copious ...

William Stanley Jevons - 1905 - 368 σελίδες
...distributively in the minor, so that the whole is divided into its parts. Thus it might be argued, "All the angles of a triangle are (together) equal to two right angles ; ABC is an angie of a triangle ; therefore ABC is equal to two right angles." Or again, " The inhabitants...




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