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Bøker Bok 6170 av 190If a side of any triangle be produced, the exterior angle is equal to the two interior...
" If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Side 41
av John Playfair - 1832 - 333 sider
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National Society's Monthly Paper

1855
...perpendicular to a given straight line of an unlimited length, from u given point without it. 3. If a side of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are together equal to two right angles. 4. Equal triangles upon the same hase and upon the same side of...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...straight line of an unlimited length, from a given point without it. 3. If a side of any triangle he produced, the exterior angle is equal to the two interior...and the three interior angles of every triangle are together equal to two right angles. 4. Equal triangles upon the same base and upon the same side of...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...the ttco interior and opposite angles ; and the three interior angles oj every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D. Then the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC. And the three...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...equal, each to each : and also the third angle of the one to the third angle of the other. 6. If a side of any triangle be produced, the exterior angle is...angles of every triangle are equal to two right angles. 7. If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram...
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Manual of method; for the use of teachers in elementary schools

W F. Richards - 1856 - 184 sider
...to equal sides, show that these two triangles are not necessarily equal to one another. 4. If a side of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are together equal to two right angles. 5. If a straight line be divided into any two parts, the square...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...together equal to the two FBC, DBC, that is. to two right angles. XIV.— EUCLID I. 32. If one side of a triangle be produced, the exterior angle is equal...the two interior and opposite angles; and the three angles of every triangle are together equal to two right angles. Let ABC (Fig. 9) be a triangle, and...
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Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 59 sider
...triangle of which the base, the sum of the other sides, and the vertical angle are given. 2. If a side of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are together equal to two right angles. At what angles are the sides of a regular duodecagon inclined to...
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Elements of geometry and conic sections

Elias Loomis - 1857 - 226 sider
...PROPOSITION XXVII. THEOEEM. If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three...triangle are equal to two right angles. Let ABC be any plane triangle, and let the side BC be produced 10 D ; then will the exterior angle ACD be equal...
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The Pupil-teacher: A Monthly Journal of Practical Educational ..., Volum 3

1857
...triangle, parallel to the base; and prove that the line so drawn bisects the other side. 5. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles. If the triangle is equilateral, what is the relation between the exterior angle and the adjacent interior...
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The practice of engineering field work, applied to land, hydrographic, and ...

W. Davis Haskoll - 1858 - 324 sider
...I. The greater side of every triangle is opposite to the greater angle. The 32nd, Book I. If a side of any triangle be produced, the exterior angle is...angles of every triangle are equal to two right angles. Reference to Fig. 33 will illustrate the value of the above in triangular surveying. The line DC falls...
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