 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.  The Element of Geometry - Side 13av John Playfair - 1836 - 114 siderUten tilgangsbegrensning - Om denne boken
 | John Paxton Hall - 1860 - 186 sider
...less than the other two sides of the triangle, but shall contain a greater angle. PROF. XXXII. — If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP.... | |
 | Robert Potts - 1860 - 380 sider
...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...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... | |
 | Joseph Charles Parkinson - 1860 - 154 sider
...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...and the three interior angles of every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of the last proposition.... | |
 | Royal college of surgeons of England - 1860 - 332 sider
...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"... | |
 | EDUCATION SOCIETY'S PRESS, CULLA - 1860 - 612 sider
...\ , <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... | |
 | Elias Loomis - 1860 - 246 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... | |
 | Woolwich roy. military acad - 1861 - 572 sider
...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...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... | |
 | S. M. Saxby - 1861 - 136 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... | |
 | S. M. Saxby - 1862 - 200 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... | |
 | Euclides - 1862 - 172 sider
...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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