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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. "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 12
by Dennis M'Curdy - 1846 - 138 pages
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...equal to the angle GCB, which are the angles upon the other side of the base. Therefore, 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. Which was to be proved. COR....
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...angles shall be equal, each to each, viz, those to which the equal sides are opposite. V. 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 also be equal. COR. Every equilateral...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 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 one another ; 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,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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 one 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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 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,...
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Indian Reminiscences: Or, The Bengal Moofussul Miscellany

George Augustus Addison - Anglo-Indian literature - 1837 - 372 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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Remarks on mathematical or demonstrative reasoning:its connexion with logic ...

Edward Tagart - Logic - 1837 - 156 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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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 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 one 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,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 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 one 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,...
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Hints, Theoretical, Elucidatory, and Practical, for the Use of Teachers of ...

Olinthus Gregory - Euclid's Elements - 1840 - 204 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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