| Schools - 1877 - 604 pages
...rhombus, each of whose sides is equal to that line, by the method employed in the first proposition. z. If one side of a triangle be produced, the exterior angle is greater than either of the interior and opposite angles. Prove this for both the interior angles. Composition. Write notes of a lesson... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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... | |
| Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...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... | |
| Henry Major - Student teachers - 1873 - 588 pages
...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... | |
| Braithwaite Arnett - 1874 - 130 pages
...EXAMINATION FOR FIRST APPOINTMENTS TO THE CAVALRY AND INFANTRY. May, 1873. EUCLID. (BooK I.) l^hr. 1. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 2. If two triangles have two angles of the one equal to two angles of the other, each to each, and... | |
| Charles Astor Bristed - 1874 - 632 pages
...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 pages
...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... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...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.) - Geometry - 1874 - 236 pages
...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 pages
...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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