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THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 33
by Euclid, John Playfair - 1819 - 333 pages

## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...latter. Corollary 2. — All the angles of a scalene triangle are unequal. PROP. XIX. THEOREM. The greater angle of every triangle is subtended by the greater side, or hat the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than...

## Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...the vertex of an isosceles triangle at right angles to the base bisects the vertical angle. 2. The greater angle of every triangle is subtended by the...greater side or has the greater side opposite to it. 3. At a given point in a given straight line to make a given rectilineal angle equal to a given rectilineal...

## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...greater than another, the side opposite the greater angle is greater than the side opposite the less. Let ABC be a triangle, of which the angle ABC is greater than ACB ; the side AC will be greater than A B. Because the angles at the base of the triangle ABC are...

## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...APPLICATION. — For the demonstration of other propositions, as Prop. 19. PROP. 19. — THEOR. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. DEMONSTRATION. — P. 5. The angles at the base of an isosceles triangle are equal. P. 18. The greater...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...angle ABC greater than the angle ACB. Therefore the greater side, &c. QED PROPOSITION XIX. THEOREM. The greater angle of every triangle is subtended by the...which the angle ABC is greater than the angle BCA. Then the side AC shall be greater than the side AB. A For, if AC be not greater than AB, AC must either...

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

Euclides - 1860 - 288 pages
...angle (I. 17), therefore the perpendicular AB would be less than AC. PROPOSITION XIX. THEOREM. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. Given a triangle ABC, of which the angle ABC is greater than the angle BCA ; to prove that the side...

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

War office - 1861 - 714 pages
...plane in 30 seconds ? MATHEMATICS. Afternoon Paper. REV. WN GRIFFIN, MA EUCLID (Books 1, 2, 3). 1. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. 2. Triangles upon the same base, and between the same parallels, are equal to one another. 3. If a...

## The Projection and Calculation of the Sphere for Young Sea Officers Being a ...

S. M. Saxby - Nautical astronomy - 1861 - 140 pages
...To satisfy this it needs only that AB and CD be precisely parallel. 21. Euc. I. Prop. XIX. — The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. The arcs of the circles drawn about each of the angular points with an equal radius show at once that,...