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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 school Euclid: comprising the first four books, by A.K. Isbister - Σελίδα 35
των Euclides - 1862
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Guide to the three services: civil, naval, and military

John Paxton Hall - 1860
...triangle, but shall contain a greater angle. PROF. XXXII. — If a side of any triangle be produced, the exterior angle is equal to the two interior and...every triangle are together equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line...

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

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...parallel to the given straight line BC. PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two interior and...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...

REPORT OF THE DIRECTOR OF PUBLIC INSTRUCTION, BOMBAY, FOR THE YEAR 1858-59.

EDUCATION SOCIETY'S PRESS, CULLA - 1860
...\ , <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,...

Lectures Delivered Before the Young Men's Christian Association ..., Τόμος 15

Young Men's Christian Associations (London, England) - 1860
...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...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1860 - 332 σελίδες
...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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John Fellows - 1860 - 376 σελίδες
...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,...

Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...- — --- Q'^— by means of 10o the logarithmic tables. 10. If a side of any triangle be produced, the exterior angle is equal to the two interior and...and the three interior angles of every triangle are equal to two right angles. The angle between the lines bisecting two adjacent exterior angles of any...

The Projection and Calculation of the Sphere for Young Sea Officers Being a ...

S. M. Saxby - 1861 - 140 σελίδες
...the double of the angle ACB. Fig. 17. Euc. I. Prop. XXXII. — If any side of a triangle be produced, the exterior angle is equal to the two interior and...opposite angles; and the three interior angles of any triangle are equal to two right angles. Reference to Prop. XXIX. Book I. will show that the angle...

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S. M. Saxby - 1862 - 200 σελίδες
...be the double of the angle AC B. *28. Euc. I. Prop. XXXII.— If any side of a triangle be produced, the exterior angle is equal to the two interior and...opposite angles ; and the three interior angles of any triangle are equal to two right angles. Eeference to Prop XXIX. Book I. will show that the angle...

Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Τόμος 2

Robert Potts - 1863 - 482 σελίδες
...to twice the line joining C with the middle point of AB. 2. If a side of any triangle be produced, the exterior angle is equal to the two interior and...and the three interior angles of every triangle are equal to two right angles. 3. Triangles upon the same base, and between the same parallels, are equal...




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