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" 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 - Pagina 13
door Euclides - 1853 - 147 pagina’s
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Responsions

University of Oxford - 1863 - 316 pagina’s
...sides of the one shall be equal to the angle contained by the two sides equal to them of the other. 3. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 4. Make a triangle having its sides equal to three given straight lines, of which any two whatever...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pagina’s
...QED COR. 1. From this it is manifest, that, if two straight lines cut each other, the angles which they make at the point where they cut, are together...greater than either of the interior opposite angles. Let ABC "be a triangle, and let the side .BCbe produced to D. Then the exterior angle A CD shall be greater...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pagina’s
...of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOREM. Tf one side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles. Let ABCbe a triangle, and let the side BCbe produced to D. Then the exterior angle A CD shall be greater...
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Half-hour examination papers, for daily use

John Robertson (LL.D., of Upton Park sch.) - 1865 - 106 pagina’s
...straight lines, (iv.) a rhombus. [C.] 28. What is (i.) a postulate? and what (ii.) an axiom f [C.] 29. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. [C.] 30. The three interior angles of every triangle are equal to two right angles. [C.] 31. To how...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pagina’s
...made by any number of lines meeting in one point are together equal to four right angles. Prop. 16. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Prop. 1 7. Any two angles of a triangle are together less than two right angles. Prop. 18. The greater...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pagina’s
...triangle is one-third of two right angles, or two thirds of one right angle. PROPOSITION XXXI. THEOR. If one side of a triangle be produced, the exterior angle is equal to the two interior opposite angles. Let BC, one of the sides of the triangle ABC, be produced...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 pagina’s
...of straight lines meeting at one point, are together equal to four right angles. I PROPOSITION 16. THEOREM. If one side of a triangle be produced, the exterior angle shall be greater than either of the interior opposite angles. Let ABC be a triangle, and let one side...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...number of straight lines meeting at one point are together equal to four right angles. PROPOSITION 16. THEOREM. If one side of a triangle be produced, the exterior angle shall be greater than either of the interior opposite angles. Let ABC be a triangle, and let one side...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pagina’s
...QED COR. 1. From this it is manifest, that, if two straight lines cut each other, the angles which they make at the point where they cut, are together...side of a triangle be produced, the exterior angle u greater than either of the interior opposite angles. Let ABC be a triangle, and let the side J?Cbe...
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Annual Report

1868 - 876 pagina’s
...7s. 6d. a yard. How many yards of each did he buy ? ......... 29 GEOMETRY. 3RD DIVISION. Valurt. 1. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles 15 2. Triangles upon the same base, and between the same parallels, are equal to one another 15 3....
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