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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

## Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 390 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...

## Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...less than the sum of BA and AC, Therefore, if from a point, &c. PROPOSITION X. THEOREM. The angles at the base of an isosceles triangle are equal to one another. Let ABC be an isosceles triangle, of which the side AB is equal to AC ; then will the angle B be equal...

## A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - Examinations - 1859 - 352 pages
...four right angles. B. The three angles of every triangle are equal to two right angles. C. The angles at the base of an isosceles triangle are equal to one another. D. Construct a parallelogram equal to a given rectilineal figure, with an angle equal to a given angle....

## The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...angle, and a rhomboid. Explain the terms axiom, problem, hypothesis, reductio ad absurdum. 2. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced, the angles on the other side of the base shall be equal. 3. If two straight lines cut...

## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...coincide, and therefore the angle GBC is equal to the angle HEF. PROPOSITION 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. Given, ABC an isosceles...

## Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...income tax on his income has 1632/. 18s. lOrf. remaining ; what had he at first ? Euclid. 1. 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. 2. The straight lines which...

## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...two triangles have, &c. (see Enunciation). Which was to be shown. PROPOSITION 5. -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. (References — Prop....

## The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 pages
...to (C'«;;s.'.) PnOP. V. (THEonEM.)—Tbe angles (ABC, ACB) at the baseofan isoscele triangle (ARC) are equal to one another; and if the equal sides (AB, AC) be produced (to D and E), the angles (DBC, BCB) upon the vti,er side of the base thall be equal. In BD take any point F, and from AE the...