Books Books
Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the...
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 165
by Euclides - 1834

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

Cambridge univ, exam. papers - 1856 - 252 pages
...and equal to another given rectilineal figure. 6. If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained...diameter of the circle described about the triangle. The rectangle contained by the two sides can never be less than twice the triangle. EUCLID. BOOKS I....

## National Society's Monthly Paper

1856 - 376 pages
...ratio compounded of the ratios of their sides. 3. If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained...the perpendicular, and the diameter of the circle deseribed about the triangle. SECT. II. — I . If the line bisecting the vertical angle of a triangle...

## Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1857 - 242 pages
...external segments. PROPOSITION XXIX. THEOREM. If an angle of a triangle be bisected by a line which cuts the base, the rectangle contained by the sides of the triangle, is equivalent to the rectangle contained by the segments of the. base, together with the square of the...

## Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...external segments. PROPOSITION XXIX. THEOREM. If an angle of a triangle be bisected by a line which cuts the base, the rectangle contained by the sides of the triangle, is equivalent to the rectangle contained by the segments of the. base, together with the square of the...

## Parliamentary Papers, Volume 7

Great Britain. Parliament. House of Commons - Bills, Legislative - 1859 - 140 pages
...to another given rectilineal figure. 4. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained...diameter of the circle described about the triangle. 5. Given the perimeter and the angles of a triangle ; required to construct it geometrically. Required...

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

Thomas Stantial - Examinations - 1859 - 352 pages
...triangles of the same circle. 8. If an angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base, together with the square of the straight line which bisects the angle. 9....

## Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...the radius of the circle. 2. If an angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base together with the square of the straight line which bisects the angle. If...

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

Robert Potts - Geometry, Plane - 1860 - 380 pages
...if an angle, &c. UKI). PROPOSITION C. THEOREM. If from any angle of a triangle, a straight line be drawn perpendicular to the base ; the rectangle contained...AD the perpendicular from the angle A to the base BC. The rectangle .B^, AC shall be equal to the rectangle contained by AD and the diameter of the circle...