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" D ; wherefore the remaining angle at C is equal to the remaining angle at F ; Therefore the triangle ABC is equiangular to the triangle DEF. Next, let each of the angles at C, F be not less than a right angle ; the triangle ABC is also, in this case,... "
The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Side 157
av Robert Simson - 1804
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860
...in the same manner it may be shown that the angle at E is not greater than the angle ABC ; therefore they are equal, and the angle at A is equal to the angle at D, wherefore toe remaining angle at C is equal to the remaining angle at F ; and the. triangles ABC and DEF are...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...is less than a right angle ; which is absurd. Therefore the angles ABC, DEF me not unequal, that is, they are equal : and the angle at A is equal to the angle at D : (hyp.) wherefore the remaining angle at C is equal to the remaining angle at F: (I. 32.) therefore...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...less than a right angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal : and the angle at A is equal to the angle at D : (hyp.) wherefore the remaining angle at C is equal to the remaining angle at F: (I. 32.) therefore...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...less than a right angle; which is absurd ; therefore thc angles ABC, DEF, are not unequal, that is, they are equal ; and the angle at A is equal to the angle at D ; (hyp.) wherefore the remaining angle at C is equal to the remaining angle at F; (L 32.) therefore...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...right angle ; [Hypothesis. which is absurd. Therefore the angles ABC and DEF are not unequal ; that is, they are equal. And the angle at A is equal to the angle at D; [Hypothesis. therefore the remaining angle at C is equal to the remaining angle at "F ; therefore the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...ABC is equal to the angle DEF. [Ax. 1. For the same reason, the angle ACB is equal to the angle DFE, and the angle at A is equal to the angle at D. Therefore the triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides &c. QED PROPOSITION...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 sider
...less than a right angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal : and the angle at A is equal to the angle at D : (hyp.) wherefore the remaining angle at C is equal to the remaining angle at F: (I. 32.) therefore...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...less than a right angle ; which is absurd. Therefore 6. The angles ABC, DEF are not unequal, that is, they are equal ; and the angle at A is equal to the angle at D (hyp.) ; wherefore 7. The remaining angle at C is equal to the remaining angle atF(L 32); therefore...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...less than a right angle ; which ia absurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal : and the angle at A is equal to the angle at D : (hyp.) wherefore the remaining angle at C is equal to the remaining angle a F: (I. 32.) therefore...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...right angle; [Hypothesis. which is absurd. Therefore the angles ABC and DEF are not unequal ; that is, they are equal. And the angle at A is equal to the angle at D; [Hypothesis. therefore the remaining angle at C is equal to the remaining angle at F ; therefore the...
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