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If from the right angle of a right-angled 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.
An Elementary Treatise on the Geometrical and Algebraical Investigation of ... - Page 22
by Daniel Cresswell - 1817 - 436 pages

A Supplement to the Elements of Euclid

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...

A Supplement to the Elements of Euclid

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...

A Supplement to the Elements of Euclid

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....

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

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...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

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...

The London University Calendar

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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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,...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

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,...