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 Βιβλία Βιβλία If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. The first six books of the Elements of Euclid, with numerous exercises - Σελίδα 13
των Euclides - 1853 - 147 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο Minutes of the General Council of Medical Education & Registration ..., Τόμος 6

...opposite to the equal angles, are equal to one another. 2. To bisect a given rectilineal angle. 3. If one side of a triangle be produced the exterior...greater than either of the interior opposite angles. 4. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects... Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870
...of the octagon, 135°, &c. ; but none of these numbers are measures of 360°. PUOP. 16. — THEOB. If one side of a triangle be produced, the exterior angle is greater tiian eitlier of the interior opposite angles. CONS. — P. 10. To bisect a given st. line. P. 3. From... An Elementary Course of Plane Geometry

Richard Wormell - 1870 - 16 σελίδες
...equal to the two given sides. Through the extremities draw lines parallel to the sides of the angle. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three angles of a triangle are together equal... The Edinburgh university calendar

Edinburgh univ - 1871
...straight line. Show that your construction has given you exactly what your definition required. 2. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Modify your demonstration so as to bring out distinctly the property of straightness to which you appeal.... Elements of geometry, containing the first two (third and fourth ..., Μέρος 1

Euclides - 1871
...hereafter how this definition may be extended, so as to embrace angles greater than two right angles. If one side of -a triangle be produced, the exterior...greater than either of the interior opposite angles. I> Let the side BC of A ABC be produced to D. Then must L ACD be greater than either L CAB or L ABC.... The National Schoolmaster, Τόμοι 7-8

1877
...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... Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 σελίδες
...this definition may be extended, so as to embrace angles greater than tico right angles. PBOPOSITION XVI. THEOREM. If one side of a triangle be produced,...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... The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - 1872
...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... Elementary Mathematics: Embracing Arithmetic Geometry, and Algebra

Lewis Sergeant - 1873
...the point 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... The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...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 either...