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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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...Which was to be demonstrated. M PROP. V. — THEOREM. The angles at the base of an isosceles Mangle are equal to one another ; and if the equal sides...upon the other side of the base shall be equal. Let ABCbe an isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB, AC,...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...opposite shall be equal, each to each. Which was to be demonstrated. PROPOSITION V. THEOR. The angles at the base of an isosceles triangle are equal to...another ; and if the equal sides be produced, the angle* upon the other side of the base shall 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 ...

Euclid, John Playfair - Geometry - 1853 - 317 pages
...each. • PROP. V. THEOR. The angles at the bat of an Isosceles tri"nę!,c are equal to one anothe ; if the equal sides be produced, the angles upon the other side a ~ shall be equal. Let ABC be an isosceles triangle, of which tne side AB is eqfi and let the straight...
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 192 pages
...assumption, and the previous assumption is made the conclusion. Thus to the proposition " The angles at the base of an isosceles triangle are equal to one another" the converse would be "Shew that, if the angles at the base of a triangle are equal to one another,...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 318 pages
...angles, to which the equal sides are opposite, shall be equal, each to each. PROP. V. THEOR. The angles at the base of an Isosceles triangle are equal to...if the equal sides be produced, the angles upon the oiher side of the base shall be equal. In BD take any point F, and from AE the greater cut off AG equal...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...whose fate we have now to record. MACKINTOSH. V.—EUCLID AND GEOMETRICAL CONIC SECTIONS. 2. The angles at the base of an isosceles triangle are equal to...another; and, if the equal sides be produced, the angle* on the other side of the base shall also be equal. - 1. Define a right line, a right angle,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...equal to one side of the other, the squares are equal in all respects. PROP. V. THEOREM. The angles at the base of an isosceles triangle are equal to one another: arid if the equal sides be produced, the angles upon the other side of the base shall be equal. Let...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...BD Sidney College. EUCLID. WEDNESDAY, January 14, 1857. 9 to 12. FIKST DIVISION (A.) 1. THE angles at the base of an isosceles triangle are equal to...another, and if the equal sides be produced the angles on the other side of the base shall be equal. The line which bisects the vertical angle of an isosceles...
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Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 59 pages
...What instruments are alone permitted to be used in the constructions of Euclid, and why? The angles at the base of an isosceles triangle are equal to one another. 2. The opposite sides and angles of parallelograms are equal to one another. If through the opposite...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...in a st. line. DEMONSTRATION. — P. 5. 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 are equal. Ax. 9. The whole is greater than its part. EXP. SUP. 1 Hyp. 1. „ 2. On AB let there be...
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