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Bøker Bok 8190 av 192If a side of any triangle be produced, the exterior angle is equal to the two interior...
" 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 together equal to two right angles. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Side 41
av John Playfair - 1832 - 333 sider
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...straight line EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are together equal to two right angles. Let ABCbe a triangle, and let one of its sides UCbe produced to...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...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...and the three interior angles of every triangle are together equal to two right angles. 5. Describe a square on a given straight line. 6. Define " a gnomon"...
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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...angles of every triangle are equal to two right angles. Show how the corners of a triangular piece of paper may be turned down, so as to demonstrate the latter...
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Elements of Geometry and Conic Sections

Elias Loomis - 1860 - 234 sider
...produced, the exterior angle it, equal to the sum of the two interior and opposite angles ; and the tfoee interior angles of every triangle are equal to two right angles. Let ABC be any plane triangle, and let the side BC be produced to D ; then will the exterior angle ACD be equal...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...I0«(s-s1)=*2-s. 9. Find the value of - — --- Q'^— by means of 10o the logarithmic tables. 10. If a side of any triangle be produced, the exterior angle is...angles of every triangle are equal to two right angles. The angle between the lines bisecting two adjacent exterior angles of any quadrilateral is equal to...
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The Projection and Calculation of the Sphere for Young Sea Officers Being a ...

S. M. Saxby - 1861 - 112 sider
...whole angle ADB be the double of the angle ACB. Fig. 17. 24. Euc. I. Prop. XXXII. — If any side of a triangle be produced, the exterior angle is equal...opposite angles; and the three interior angles of any triangle are equal to two right angles. Fig. 18. !>„ Reference to Prop. XXIX. Book I. will show...
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Study of Steam and the Marine Engine for Young Sea Officers in H.M. Navy ...

S. M. Saxby - 1862 - 179 sider
...the whole angle ADB 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...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...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...given straight line BC. QEF PROP. XXXII.— THEOREM. Jf the side of any triangle be produced; then the exterior angle is equal to the two interior and...and the three interior angles of every triangle are together equal to two right angles. (References— Prop. i. 13, 29, 31 ; ax. 2.) Let ABC be a triangle,...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...PROPOSITION 32.— THEOREM. If a side of any triangle be produced, the exterior angla in equal to the tiro interior and opposite angles; and the three interior...angles of every triangle are equal to two right angles. (References— Prop. I. 13, 29, 31; ax. 1, 2.) Hypothesis. — Let ABC be a triangle, and let one of...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 sider
...of a triangle be produced, the exteriorangle is equal to the sum of the two interior and. opposite angles. Let ABC be a triangle, and let one of its sides, BC be produced towards D ; then the exterior angle ACD is equal to the two interior and opposite -Q/_ \/ -Q angles,...
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