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" 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 on the examination for admission to the Royal military academy at ... - Pagina 19
di Woolwich roy. military acad - 1861
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Register

University of Cambridge - 1849
...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...
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The English Journal of Education, Volume 4

1850
...equal to two right angles: the two straight lines shall be parallel to one another. 2. If one side of a triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are together equal to two right angles. 3. If the square described upon one of the sides of a triangle...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 173 pagine
...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...
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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...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.) the exterior...
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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...angles of every triangle are equal to two right angles. 3. Divide a given straight line into two such parts, that the rectangle contained by the whole and...
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852
...XXXП. ТнЕОB. If any side of a\ triangle Reproduced, the exterior angle is equal to the two interior opposite angles : and the three interior angles of every triangle, are equal to two right angles. In the triangle ABC, let the side A в be produced to D ; then the exterior angle c в D is equal to...
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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...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 exterior angle ACD is equal...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...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...
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Elements of geometry and mensuration

Thomas Lund - 1854 - 192 pagine
...adjacent side and the side produced) is equal to the two interior opposite angles of the triangle; and the three interior angles of every triangle are equal to two right angles. Let the side AB of the triangle ABC be 'produced'toD;/CBD c shall be equal to the angles BAC, ACB taken...
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The Journal of Sacred Literature, Volume 7;Volume 25

John Kitto - 1854
...mind. ' 65. To illustrate this doctrine by an example taken from the science of magnitude. That the three interior angles of every triangle are equal to two right angles, is a truth which, if the demonstration has been followed, cannot but be believed, when the subject...
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