 | André Darré - 1872 - 226 sider
...of the homologous sides. PROPERTIES OF TRIANGLES FROM PROPORTIONAL LINES. 87. A line bisecting any angle of a triangle divides the opposite side into segments which are related to each other as the contiguous sides. Let AF (Fig. 75) bisect the angle A in the triangle... | |
 | John Reynell Morell - 1875 - 220 sider
...the sides of this angle. 16. The bisectors of the angles of a triangle meet at the same point. 17. If the bisector of the angle of a triangle divides the opposite side into two equal parts, this triangle is isosceles. 18. If through the point of intersection of the bisectors... | |
 | 1876 - 646 sider
...studied and to what extent.] 1. To draw a common tangent to two given circles.' 2. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. 3. The area of a parallelogram is equal to the product of its base and altitude. 4.... | |
 | Henry Angel - 1880 - 360 sider
...angles, and their homologous sides are proportional (Euclid vL, Definition 1). 6. A line bisecting any angle of a triangle divides the opposite side into segments, which are in the same ratio as the remaining sides of the figure (Euclid vL 3). 7. All the internal angles of... | |
 | Henry Angel - 1880 - 372 sider
...angles, and their homologous sides are proportional (Euclid vi., Definition 1). 6. A line bisecting any angle of a triangle divides the opposite side into segments, which' are in the same ratio as the remaining sides of the figure (Euclid vi. 3). 7. All the internal angles of... | |
 | Henry Kiddle, Alexander Jacob Schem - 1881 - 378 sider
...of the product of several quantities equals the product of their like roots"; " The bisector of any angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides"; etc., are scarcely embraced in Comte's definition without an unjustifiable extension... | |
 | Yale University - 1892 - 200 sider
...studied and to what extent.] 1. To draw a common tangent to two given circles. 2. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. 3. The area of a parallelogram is equal to the product of its base and altitude. 4.... | |
 | Joe Garner Estill - 1896 - 214 sider
...weighing 8.2 ounces per square foot. Yale, June, 1896. GEOMETRY (A). TIMB, ONE HOUR. 1. The sum of the three angles of a triangle is equal to two right angles....the quadrilateral are perpendicular to each other. 5. The circumferences of two circles are to each other as their radii. (Use the method of limits.)... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1896 - 276 sider
...= n* + 2am + ii1* +yy = a8 + 2ai>i + C*. §317 QED PROPOSITION XX. THEOREM 32 7. The bisector of an angle of a triangle divides the opposite side into segments •which are proportional to the other two sides. GIVEN— in the triangle ABC, AD the bisector of the angle A. DC AC - = - • DB AB... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1896 - 554 sider
...value in (2), 6' = <?* 4- c * + 2am. §3'7 §317 QED PROPOSITION XX. THEOREM 327 '. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the oilier two sides. GIVEN — in the triangle ABC, AD the bisector of the angle A. DC _AC DB~ AB To PROVE... | |
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Construct a circle having its center in a given line and passing through two given points. 3. The bisector of the angle of a triangle divides the opposite side into segments which are proportional to the two other sides. 
