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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. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 15
by Robert Simson - 1806 - 518 pages
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 390 pages
...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...produced, the angles upon the other side of the base are also equal.* Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 88 pages
...directions in Euclid. PROPOSITION V. Theorem. The angles at the base of an isosceles triangle are equal ; and if the equal sides be produced, the angles upon the other side of the base shall be equal. Steps of the Demonstration. f base BG = base CF 1. Prove that in A AGB< Z ABG= Z ACF }of A AFC, 9....
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1837 - 318 pages
...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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Remarks on Mathematical Or Demonstrative Reasoning: Its Connexion with Logic ...

Edward Tagart - Logic - 1837 - 135 pages
...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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Indian Reminiscences: Or, The Bengal Moofussul Miscellany

George Augustus Addison - English literature - 1837 - 339 pages
...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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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...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...be an isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB, AC be produced to D and E : the angle ABC shall be equal...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - Geometry - 1838 - 416 pages
...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...be an isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB, AC be produced to D and E. the angle ABC shall be equal...
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Hints, Theoretical, Elucidatory, and Practical, for the Use of Teachers of ...

Olinthus Gregory - Euclid's Elements - 1840 - 188 pages
...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 - Geometry - 1841 - 351 pages
...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...be an isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB, AC, be produced to D and E: the angle ABC shall be equal...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...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...be an isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB, AC be produced to D and E ; the angle ABC shall be equal...
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