| Daniel Cresswell - Geometry - 1819 - 446 pages
...(constr.) the figure DCFE is aa ; .•. (E. S4. 1.) EF=DC; and (constr.) DC=B; .-. PROP. LIII. 70. THEOREM. **If, from the summit of the right angle of a scalene...shall contain an angle equal to the difference of the** ftro acute angles of the triangle. Let the LA, of the A BAC be a right L ; let A / BEDC AE be drawn... | |
| Daniel Cresswell - Geometry - 1819 - 486 pages
...figure DCFE is aa ; .-. (E. 34. 1.) EF=DC; and (owwfr.) DC=B; .-. EF=B. ' PROP. LIII. A SUPPLEMENT **TO THE hypotenuse, and the other bisecting it, they...difference of the two acute angles of the triangle.** Let the LA, of the A BAC be a right L ; let A B ED C AE be drawn to the bisection E, of the hypotenuse... | |
| Daniel Cresswell - Euclid's Elements - 1825 - 616 pages
...given finite straight line, not less than the perpendicular distance of the two parallels. LIII. TH. **If, from the summit of the right angle of a scalene...difference of the two acute angles of the triangle.** LIV. PR. To bisect a parallelogram by a straight line drawn through a given point in one of its sides.... | |
| Euclides - 1845 - 546 pages
...triangle two straight lines be drawn, one perpendicular to the base, and the other bisecting it, they will **contain an angle equal to the difference of the two acute angles of the triangle.** 10. If one angle at the base of a triangle be double of 'the other, the less side is equal to the sum... | |
| Euclides - 1846 - 292 pages
...of a triangle two lines be drawn, one bisecting the base and the other perpendicular to it, they wUl **contain an angle equal to the difference of the two acute angles of the triangle.** 70. Find the point in the base of a triangle, from which lines drawn parallel to the sides to meet... | |
| London univ - 1852 - 358 pages
...triangle two straight lines be drawn, one perpendicular to the base, and the other bisecting it, they will **contain an angle equal to the difference of the two acute angles of the triangle.** lineal angle ; and thence prove that the perimeter of an isosceles triangle is greater than that of... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...triangle, two straight lines be drawn, one perpendicular to the base, and the other bisecting it, they will **contain an angle equal to the difference of the two acute angles of the triangle.** 34. If the vertical angle CAB of a triangle ABC be bisected by AD, to which the perpendiculars CIS,... | |
| Euclides - 1864 - 448 pages
...triangle, two straight lines be drawn, one perpendicular to the base, and the other bisecting it, they will **contain an angle equal to the difference of the two acute angles of the triangle.** 34. If the vertical angle CAB of a triangle ABC be bisected by AD, to which the perpendiculars CE,... | |
| Euclides - 1864 - 262 pages
...triangle, two straight lines be drawn, one perpendicular to the base, and the other bisecting it, they will **contain an angle equal to the difference of the two acute angles of the triangle.** 34. If the vertical angle CAB of a triangle ABC be bisected by AD, to which the perpendiculars CE,... | |
| Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...and if D be the middle of EC, then DE is equal to DF. dicular to it, the angle of these two lines is **equal to the difference of the two acute angles of the triangle.** 9. In the base of a triangle, find the point from which lines extending to the sides, and parallel... | |
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