 30. A straight line drawn from the vertex of an isosceles triangle to the middle of the base is perpendicular to the base. Find the area of a regular pentagon whose sides are 24", if the radius of the circle drawn around the  Book III - Page 223by George William Myers - 1908Full view - About this book
 | Euclides - 1885 - 160 pages
...meet iu that given straight line and include an angle bisected by that given straight line. 6. The straight line drawn from the vertex of an isosceles triangle to the middle point of the base is perpendicular to the base, and bisects the vertical angle. 7. On a given straight... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...The angle BAD is equal to DAC, and BDA to CDA: hence, the last two are right angles. Consequently, a straight line drawn from the vertex of an isosceles triangle to the in ill til i' of the base, bisects the angle at the vertex, and is perpendicular to the base. PROPOSITION... | |
 | George Anthony Hill - 1886 - 368 pages
...of Ex. I, and Axiom I. (p. 18), that CD must coincide with the bisector of AB C. 3. The line joining the vertex of an isosceles triangle to the middle of the base is perpendicular to the base, and bisects the angle at the vertex. Hints. — In this case what are the hypotheses? the conclusions?... | |
 | William Chauvenet - Geometry - 1888 - 826 pages
...equal to the adjacent angle ADC; therefore, the are drawn from the vertex of an isosceles spherical triangle to the middle of the base is perpendicular to the base and also bisects the vertical angle. 80. Scholium. This proposition and its corollary may also be proved... | |
 | Joseph Hughes - Education - 1889 - 600 pages
...of section is equal to the square on half the line. Euclid, Bk, II., Prop. 5. 3. The square on any straight line drawn from the vertex of an isosceles triangle to the base, is less than the square on the side of the triangle, by the rectangle contained by the segments... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...equiangular. (706) 713. COR. 2. The arc of a great circle drawn from the vertex of an isosceles spherical triangle to the middle of the base is perpendicular to the base, and bisects the vertical angle. POLAR TRIANGLES. 714. One spherical triangle is called the polar triangle... | |
 | Seth Thayer Stewart - Geometry - 1891 - 426 pages
...following: I. i. Any side of a triangle is greater than the difference between the two other sides. 2. A straight line drawn from the vertex of an isosceles triangle to the base produced, is longer than either of the equal sides. 3. If the angles at the base of any triangle... | |
 | Edward Albert Bowser - Geometry - 1891 - 424 pages
...'• — 1 0 713. COB. 2. Tlie arc of a great circle drawn from the vertex of an isosceles spherical triangle to the middle of the ~base is perpendicular to the base, and bisects the vertical angle. POLAR TRIANGLES. 714. One spherical triangle is called the polar triangle... | |
 | George Anthony Hill - 1892 - 330 pages
...Ex. i, and Axiom I. (p. 18), that CD must coincide with the bisector of AB C. .'!. The line joining the vertex of an isosceles triangle to the middle of the base is perpendicular to the base, and bisects the angle at the vertex. Hints. — In this case what are the hypotheses? the conclusions?... | |
 | Euclid - Geometry - 1892 - 460 pages
...one of the equal sides by the rectangle contained by the segments of the base. 10. The square on any straight line drawn from the vertex of an isosceles triangle to the base produced, is greater than the square on nne of the equal sides by the rectangle contained by the... | |
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