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. The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Page 35
by Euclid, Isaac Todhunter - 1867 - 400 pages ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...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 angle is...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 Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Book 1

Euclides - Geometry - 1853 - 334 pages
...angle shall be equal to the two interior and opposite angles ; (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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 angle is...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 - 394 pages
...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... ## National Society's Monthly Paper

1855 - 264 pages
...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 angle is...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

Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...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.... ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...exterior angle is equal to the ttco interior and opposite angles ; and the three interior angles oj every triangle are together equal to two right angles....triangle, and let one of its sides BC be produced to D. Then the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC. And the three... ## Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 336 pages
...drawn through the given point A parallel to the given straight line BC. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the tivo interior and opposite angles ; and the three interior angles of tvery triangle are equal to two... ## Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - Education, Primary - 1856 - 198 pages
...to equal sides, show that these two triangles are not necessarily equal to one another. 4. If a side of any triangle be produced, the exterior angle is...every triangle are together equal to two right angles. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares... 