| John Playfair - Circle-squaring - 1819 - 350 pages
...triangles, the four oblique angles of whJrh are equal to the three angles of the triangle, therefore **the three angles of every triangle are equal to two right angles.** Q, ED Though this method of treating the subject is strictly demonstrative, ;yet, as the reasoning... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...PROP. XXII. THEOR. The opposite angles of any quadrilateral figure described in a circle, are together **equal to two right angles. Let ABCD be a quadrilateral...because the three angles of every triangle are equal** (32. 1.) to two right angles, the three angles of the triangle CAB, viz. the angles CAB, ABC, BCA are... | |
| Bewick Bridge - Algebra - 1821 - 648 pages
...180°. Thus, if the angle ACF is 40° 25' 35", its supplement FCB will be 139° 34' 25".* 6. The * Since **the three angles of every triangle are equal to two right angles,** or to 180°, it is evident that in a right-angled triangle the two acute angles must be together equal... | |
| Frederick Beasley - Psychology - 1822 - 584 pages
...space included between three straight lines that cut each, ever lead us on to the conclusion, that **the three angles of every triangle, are equal to two right angles?** Does it at all enter into the inquiry? Does it form any part of the argument? A man might long enough... | |
| William Thompson - Economics - 1824 - 634 pages
...applied to one out of a class or of a thousand, not able to understand, when properly explained, that " **the three angles. of every triangle are equal to two right angles."** Till this fundamental error and vice in education, the presuming to teach opinions instead of truth,... | |
| Robert Hamilton Bishop - Kentucky - 1824 - 464 pages
...present comprehension, and its being contrary to the first principles of reason. The proposition that **the three angles of every triangle are equal to two right angles,** is one absolutely beyond the comprehension of the illiterate hushnndman; is it therefore not true!... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...Proposition XXII. Theorem. The opposite angles of any quadrilateral figure described in a circle, we together **equal to two right angles. Let ABCD be a quadrilateral figure in** die circle ABCD ; any tw» of its opposite angles are together equal to two right angles. Join AC,... | |
| John Playfair - Circle-squaring - 1826 - 326 pages
...in a eirele, are together equal to two right angles. LetABCDbe a quadrilateral figure in the eirele **ABCD; any two of its opposite angles 'are together equal to two right angles. Join AC, BD.** The angle CAB is equal (21. 3.) to the angle CDB, beeause they are iu the same segnent BADC, and the... | |
| Euclides - 1826 - 226 pages
...are equal to two right angles. " 32.i. it are equal* to two right angles ; join AD, вс. Therefore **because the three angles of every triangle are equal to two right angles, the** angles CAB, ABC, CBA, are equal to two right angles. But the Let ABDC be a circle, and ABDC a quadrilateral... | |
| Euclid - 1826 - 236 pages
...any two opposite angles of • 52. i. it are equal" to two right angles ; join AD, вс. Therefore **because the three angles of every triangle are equal to two right angles, the** angles CAB, ABC, CBA, are equal to two right angles. But the '• Zi.3. angle ABC is equal b to the... | |
| |