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 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. Report of Her Majesty's Civil Service Commissioners: Together with Appendices - Page 311
1858
Full view - About this book ## 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...
Full view - About this book ## 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.)...
Full view - About this book ## 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...
Full view - About this book ## 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...
Full view - About this book ## 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...
Full view - About this book ## 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...
Full view - About this book ## 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...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 . A....
Full view - About this book ## 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...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. A...
Full view - About this book ## Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 318 pages
...EAF is 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...
Full view - About this book ## National Society's Monthly Paper

1856
...opposite 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...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...
Full view - About this book