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

Robert Potts - 1868 - Liczba stron: 410
...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 Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - Liczba stron: 420
...and if D be the middle of BC, 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - Liczba stron: 403
...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 ancle CAB of a triangle AB C be bisected by Alt, to which the perpendiculars CJS,...
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Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - Liczba stron: 182
...a triangle two lines be drawn, one bisecting the base and the other perpendicular to it, they will contain an angle equal to the difference of the two acute angles of the triangle. AD, AE the two lines : then DA = DB = DC,.'. exterior Z ADE (AB > AC) = 2 Z ABC: but A DAE + ADE =...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - Liczba stron: 518
...from the right angle, one bisecting the hypotenuse, the other perpendicular to it : shew that they contain an angle equal to the difference of the two acute angles of the triangle. [See above, Ex. 2 and Ex. 5.] 7. In a triangle if a perpendicular be drawn from one extremity of tlie...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Księga 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - Liczba stron: 304
...from the right angle, one bisecting the hypotenuse, the other perpendicular to it : shew that they contain an angle equal to the difference of the two acute angles of the triangle. [See above, Ex. 2 and Ex. 5.J \^ 7. lit a triangle if a perpendicular is drawn from one extremity of...
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Plane and Solid Geometry

Isaac Newton Failor - 1906 - Liczba stron: 418
...181.] 197 The angle contained by the altitude and median drawn to the hypotenuse of a right triangle is equal to the difference of the two acute angles of the triangle. [In the Fig. of Ex. 196, Z PCB = ZA by Ex. 40, and Z x' = ZB by § 173. Subtracting equalities, Z PCM...
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PLANE AND SOLID GEOMETRY

ISAAC NEWTON FAILOR - 1906
...181.] 197 The angle contained by the altitude and median drawn to the hypotenuse of a right triangle is equal to the difference of the two acute angles of the triangle. [In the Fig. of Ex. 196, Z PCB = ZA by Ex. 40, and Z x1 — ZB by § 173. Subtracting equalities, Z...
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