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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. "
First principles of Euclid: an introduction to the study of the first book ... - Σελίδα 88
των T S. Taylor - 1880
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 172 σελίδες
...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...

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 σελίδες
...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...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 σελίδες
...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...

Indian Reminiscences: Or, The Bengal Moofussul Miscellany

George Augustus Addison - 1837 - 372 σελίδες
...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...

Remarks on mathematical or demonstrative reasoning:its connexion with logic ...

Edward Tagart - 1837 - 156 σελίδες
...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...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 σελίδες
...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...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 σελίδες
...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...

Hints, Theoretical, Elucidatory, and Practical, for the Use of Teachers of ...

Olinthus Gregory - 1840 - 204 σελίδες
...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....

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 σελίδες
...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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