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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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Class lessons on Euclid

Marianne Nops - 1882
...and/ ACB „ „ zDFE Wherefore if two triangles &c. — QED PROPOSITION V., THEOREM 2. 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 to one another. Let ABC be an isosceles A, having side...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882
...Define the following : — superficies, rhomboid, gnomon and parallel straight lines. 2. 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 to one another. 3. If a straight line be divided into...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...Male Candidates. EUCLID. Capital letters, and not numbers, must be used in the diagrams. 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 to one another. 2. Draw a straight line perpendicular...
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The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1882
...this, the abstract terms are forthwith abandoned, and tho proposition is re-stated in a concrete form.. "Let ABC be an isosceles triangle, of which the side AB is equal ho tho side AC; then tho angle ABC shall be equal to the angle AC B." By a series of steps which...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883
...give good examples of symmetrical constructions. 11. Euclid's Proof of 1. 5. The angles at the lose of an isosceles triangle are equal to one another...of the base shall be equal. Let ABC be an isosceles A , having AB=AC. Produce AB, AC to D and K Then must L ABC= L ACB, and L DBC= L ECB In BD take any...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 pages
...is centre of 0 DEF, AE = AD (Def. 11), and AD = C (cons.), .-. AE = CQEF EU. I. 5. THEOR. 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 also be equal to one another. Given AB = AC, and let AB and AC...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...angle ACB to the angle DFE. Wherefore, if two triangles &c. QED PROPOSITION' 5. THEOREM. TJie 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 to one another. Let ABC be an isosceles triangle, having...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volume 2

Moffatt and Paige - 1883
...isosceles triangle are equal to each other j and if the equal sides be prod^^ced, the angles on thi other side of the base shall be equal. Let ABC be an isosceles triangle, of which the side AB is equal to the side AC, and let the equal sides AB, AC be produced to D and E. Then the angle ABC shall...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...remaining angles of the other, and be equal to them, viz., ABC to DEF, and ACB to DFE. V. — The angles at the base of an isosceles triangle are equal to...equal. Let ABC be an isosceles triangle, of which AB is equal to AC, and let AB, AC be produced to D and E, the angle ABC shall be equal to ACB, and...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...Euclid respectively used for the first time ? What axioms are used in Prop. IV., Book /. ? i. 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 to one another. State fully the converse of this proposition....
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