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" THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal. "
A Text-book of Euclid's Elements for the Use of Schools - Strona 18
autor: Euclid - 1904 - Liczba stron: 456
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - Liczba stron: 172
...enunciation and proof of this theorem are as follows : The an9les at the base of an equal-sided trian9le are equal to one another; and if the equal sides be produced, the an9les upon the other side of the base shall be also, equal. Let ABC be a triangle, of which the side...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - Liczba stron: 410
...figure to be applied to another, it is said to be proved by the method of superporition. THE angles at the base of an isosceles triangle are equal to...; and, if the equal sides be produced, the angles upon the other side of the base are also equal.* Let ABC be an isosceles triangle, of which the side...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - Liczba stron: 290
...angle ABC to the angle DEF, and the angle ACB to the angle DFE. PHOPOSITION V. THEOREM. The angles at the base of an isosceles triangle are equal to...another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle, of which the...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - Liczba stron: 332
...to which the equal sides are opposite, shall be equal, each to each. V PROP. V. THEOR. f The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced, tfa angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which...
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Indian Reminiscences: Or, The Bengal Moofussul Miscellany

George Augustus Addison - 1837 - Liczba stron: 372
...thirty-second, therefore, a person must be able to demonstrate the fifth, or to prove that the angles at the base of an isosceles triangle are equal to one another, &c. — and yet how many have we known who have forfeited their claims to manhood, by not being able...
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Remarks on mathematical or demonstrative reasoning:its connexion with logic ...

Edward Tagart - 1837 - Liczba stron: 156
...and doubtless I am, that there lived a celebrated orator named Cicero, at Rome, as that the angles at the base of an isosceles triangle are equal to one another ; but it is evident that the ideas associated with the words Cicero, celebrity, oratory, Rome, are...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - Liczba stron: 434
...are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. THE angles at the base of an isosceles triangle are equal to...: and, if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which the side...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - Liczba stron: 264
...are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. The angles at the base of an isosceles triangle are equal to...another; and if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which the side...
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Hints, Theoretical, Elucidatory, and Practical, for the Use of Teachers of ...

Olinthus Gregory - 1840 - Liczba stron: 204
...need not have been placed here. (c.) In the demonstration of prop. 15, let the words, " the angles at the base of an isosceles triangle are equal to one another ; and," be omitted ; they are superfluous. ing my views as to the best method of teaching the doctrine of proportion....
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - Liczba stron: 378
...are opposite, shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. The angles at the base of an isosceles triangle are equal to...another; and if the equal sides be produced, the angles -upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which the side...
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