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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 ... - Strona 22
autor: Daniel Cresswell - 1817 - Liczba stron: 436
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - Liczba stron: 410
...(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...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - Liczba stron: 410
...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...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1825 - Liczba stron: 582
...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....
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...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...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...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...
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The London University Calendar

London univ - 1852
...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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - Liczba stron: 361
...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,...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...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,...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...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,...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1864 - Liczba stron: 276
...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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