Books Books IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. Elements of geometry, containing the first two (third and fourth) books of ... - Page 52
by Euclides - 1871 ## A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 173 pages
...finite straight line an isosceles triangle, the sides of which shall be each equal to twice the base. 2. If a side of any triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are together... ## The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...distance AK, touch the arc in E. Join EA, and produce it to F.] E 3 THE ELEMENTS PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior...And the three interior angles of every triangle are equal to two riffht angles. Let ABC be a triangle, and let one of its sides BC be produced to D; (1.)... ## Five Years in an English University, Volume 2

Charles Astor Bristed - 1852
...base equal to each other, and likewise those which are terminated in the other. 2. If the sides of a triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are equal to two right angles. 3. Divide a given straight line into two such parts, that the rectangle... ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...given point A, parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D; the... ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...given point A parallel to the given straight line BC. Which was to be done. PROPOSITION XXXII. THEOR. If a side of any triangle be. produced, the exterior...the two interior and opposite angles ; and the three inferior angles of every triangle are equal to two rigJit angles. Let ABC be a triangle, and let one... ## The Assurance Magazine, and Journal of the Institute of Actuaries, Volume 3

Insurance - 1853
...triangle be produced (1) the exterior angle is equal to the two interior and remote angles, and (2) the three interior angles of every triangle are together equal to two right angles. 28. Show that in any right-angled triangle, the square which is described upon the hypothenuse, that... ## The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Book 1

Euclides - Geometry - 1853
...; (2) the three interior angles shall be together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D. Then (1) the exterior angle ACD shall be equal to the two interior and opposite angles ABC, BAC; (2) the... ## National Society's Monthly Paper

1855
...line perpendicular to a given straight line of an unlimited length, from u given point without it. 3. If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. 4. Equal triangles upon the same hase and upon the same side of it are between the same parallels .... ## Minutes of the Committee of Council on Education

...straight line of an unlimited length, from a given point without it. 3. If a side of any triangle he produced, the exterior angle is equal to the two interior...every triangle are together equal to two right angles. 4. Equal triangles upon the same base and upon the same side of it, are between the same parallels.... 