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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. "
The College Euclid: Comprising the First Six and the Parts of the Eleventh ... - Page 310
by Euclides - 1865
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 pages
...less than the other two sides of the triangle, but shall contain a greater angle. 3. PROP. XXXII. — If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PBOP. XLIV. — To a given straight...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...been drawn a straight line EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. Let ABCbe a triangle, and let one of its sides UCbe produced to D. Then the exterior angle A CD shall...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...the same : and thence show that two straight lines cannot have a common segment. 4. If the side of a triangle be produced, the exterior angle is equal...every triangle are together equal to two right angles. 5. Describe a square on a given straight line. 6. Define " a gnomon" and " a rectangle." 7. The parallelograms...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...drawn through the given point A parallel to the given straight line BC. PROPOSITION 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. Given a triangle ABC, having one of its sides BC produced to D ; to prove...
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REPORT OF THE DIRECTOR OF PUBLIC INSTRUCTION, BOMBAY, FOR THE YEAR 1858-59.

EDUCATION SOCIETY'S PRESS, CULLA - 1860 - 612 pages
...\ , <z, O\ '4' 3v A ' 4\ K ' 2 ^ 3 6. If a side of any triangle be produced, the exterior nngle ia equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. Show how the corners of a triangular piece of paper may be turned down,...
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Lectures Delivered Before the Young Men's Christian Association ..., Volume 15

Young Men's Christian Associations (London, England) - Christianity - 1860 - 490 pages
...a triangle be produced, the exterior angle is equal to the sum of the two angles which subtend it ; and the three interior angles of every triangle are together equal to two right angles." One day, when he was busied with the demonstration of this theorem, his father caught him in the act...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 334 pages
...PROP. XXXII. TIIEOR. If a side of any triangle lie produced, the exterior angle is equal to the tiro interior and opposite angles ; 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...
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The mysteries of freemasonry

John Fellows - Mysteries, Religious - 1860 - 376 pages
...four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal ; that the interior angles of every triangle are together equal to two right angles; that the only polygons which fill up the whole space about a given point, are the equilateral triangle,...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...base, etc.] 2. State the particular enunciation (only) of the twenty-seventh proposition of Book I. 3. If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. Algebra. =4, f =6. 2. Multiply ЬУ J^ + pr + o. 3. Solve the equations : — , - ax ex ex (l)T+7+/-^...
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The College Calendar for the Free Church of Scotland, 1882-82

Free Church of Scotland. College Committee - Theological seminaries - 1882 - 142 pages
...another upon one side of it, are either two right angles, or are together equal to two right angles. 2. If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. 3. The complements of the parallelograms which are about the diameter of any parallelogram are equal...
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