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" The angles at the base of an isosceles triangle are equal to each other ; and if the equal sides be produced, the angles on the other side of the base shall be equal. "
Minutes ...: Correspondence, Financial Statements, Etc., and Reports by Her ... - Page 440
by Great Britain. Committee on Education - 1848
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The elements of plane trigonometry

John Charles Snowball - 1837 - 322 pages
...С); Again, since each of the angles A, B, С is less than тг, .-. A + B + С<3тг. 22. The angles at the base of an isosceles triangle are equal to each other. (Fig. Art. 28.) Suppose ABC to be an isosceles triangle, having AB = AC, and therefore ¿ AOB = z AOC....
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A complete treatise on practical land-surveying

Thomas Holliday - 1838 - 404 pages
...the shortest straight line that can be drawn from the vertical angle to the base. Note 1. The angles at the base of an isosceles triangle are equal to each other. 2. A line drawn from the middle of the base of an isosceles triangle to the opposite angle is perpendicular...
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The British Annals of Education for ...: Being The Scholastic ..., Volumes 1-2

1844 - 688 pages
...A. 1 . Define a circle and the centre of a circle. What do you understand by an angle in a segment ? 2. The angles at the base of an isosceles triangle are equal to one another ; and if tbe equal sides be produced, the angles upon the other side of the base shall...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...of the one equal to two sides, &c. Which was to be demonstrated. PROPOSITION V. THEOREM. The angles at the base of an isosceles triangle are equal to each other; and if the equal sides be produced, the angles on the other side of the base shall be equal. Let ABC...
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The English Journal of Education, Volume 2

1848 - 542 pages
...it. — See " Bell's Euclid," prop. i. book i. ; or " Tate's Geometry," &c. page 21. 3. The angles at the base of an isosceles triangle are equal to each other, and if the equal sides be produced, the angles on the other side of the base shall be equal. — See...
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Report of the Committee of Council on Education (England and Wales ..., Issue 1

Great Britain. Council on Education - 1848 - 532 pages
...straight line from a given point within it. 1. Define a plane superficies, and a circle. 3. The angles at the base of an isosceles triangle are equal to each other, and if the equal sides be produced the angles on the other side of the base shall be equal. Section...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pages
...Draw a straight line perpendicular to a given straight line from a given point in it. 3. The angles at the base of an isosceles triangle are equal to each other, and if the equal sides be produced the angles on the other side of the base shall be equal. SECTION...
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General Report on Public Instruction in the Bengal Presidency

1863 - 830 pages
...; prove that AC and BD bisect each other. Under wht circumstances will AC equal BD ? 8. The angles at the base of an isosceles triangle are equal to each other. Give Euclid's proof of this proposition. How might it be proved if you were permitted to bisect an...
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History of Greek and Roman Philosophy and Science

Charles James Blomfield - 1853 - 452 pages
...inserted in the ' Memento of Kuclid-' 1. That a circle is bisected by its diameter. 2. T hat the angles at the base of an isosceles triangle are equal to each other. 3. That two straight lines intersecting one another make the vertical angles, at the point of intersection,...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...prisoners, 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 one another; and, if the equal sides be produced, the angle* on the other side of the base shall also...
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