 | Euclid, Charles Peter Mason - 1872 - 216 pagina’s
...equal sums, and the remainders will be equal, ie, the /. AE C is equal to the ^ DE B. PEOPOBITION XVI. If one side of a triangle be produced, the exterior...greater than either of the interior opposite* angles. For the construction employed in this proposition we must be able, — * That is, not adjacent to the... | |
 | Euclides, James Hamblin Smith - 1872 - 376 pagina’s
...may be extended, so as to embrace angles greater than tico right angles. PBOPOSITION XVI. THEOREM. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Let the side BC of A ABC be produced to D. Then must L ACD be greater than either L CAB or L ABC. Bisect... | |
 | Lewis Sergeant - 1873 - 182 pagina’s
...A draw the angle DAE = ADC. Then EA is parallel to g BC, by Prop. 25. Proposition 30. — Theorem. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. If BC be produced to D, the a angle ACD = the two angles... | |
 | Henry Major - 1873 - 588 pagina’s
...one point, are together equal to four right angles. XVI. — If one side of a triangle Reproduced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than... | |
 | Charles Astor Bristed - 1874 - 632 pagina’s
...EXAMINATION. WEDNESDAY, Jan. 1, 1845. 9. . .11J. [NB The Differential Calculus is not to be employed.] 1. IF one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. a. In equal circles equal circumferences are subtended by equal straight lines. 3. A Turkey carpet,... | |
 | Euclides - 1874 - 342 pagina’s
...meeting in one point, are together equal to four right angles. PROPOSITION 16. — Theorem. If one lide of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let the side BC be produced to D. Then the exterior angle ACD shall be greater... | |
 | Braithwaite Arnett - 1874 - 130 pagina’s
...must be invested in the 3 per cent, consols at 93§ so as to yield an income of £576 per annum ? M EUCLID. 1. If one side of a triangle be produced the exterior angle shall be greater than either of the interior opposite angles . 2. In any right-angled triangle, the... | |
 | Francis Cuthbertson - 1874 - 400 pagina’s
...respects, (i. i) Hence ^4 C is = DB. Also iACBis = L DBC, and .-. AC is \\ to BD. (i. 20) PROPOSITION XXIV. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; also the three interior angles of every triangle are... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 pagina’s
...BOK, (Const. ) therefore MN is parallel to AB. (I. 20.) QE jr. PUOP. XXIII.— THEOREM. (Euc. I. 32.) If one side of a triangle be produced, the exterior angle is eqiml to the two interior and remote angles ; and the three interior angles of every triangle are together... | |
 | Henry Major - 1876 - 784 pagina’s
...the base, equal to one another, and likewise those which are terminated in the other extremity. 2. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 3. Any two exterior angles of a triangle are together greater than two right angles. PDPIL TEACHERS... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles. 
