Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" Every point in the bisector of an angle is equally distant from the sides of the angle... "
Chauvenet's Treatise on Elementary Geometry - Page 92
by William Chauvenet - 1888 - 322 pages
Full view - About this book

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...corresponding angles adjacent to these sides are equal (51), namely, BAb = CBc = DCd,2iaAABb—BCc = CDd ; therefore, these triangles are equal to each...the angle. 1st. Let AD be the bisector of the angle BA C, P any point in it, and PE, PF, the perpendicular distances of Pfroni AB and AC; then, PE = PF....
Full view - About this book

Key to Bradbury's Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1872 - 88 pages
...the centre, and DF the radius, of the required circumference. For, as shown in (16), a line bisecting an angle is equally distant from the sides of the angle, and hence С Е, В F are tangents to the circumference whose radius is DF and centre Z>. BOOK VI. It С...
Full view - About this book

The elements of geometry, in eight books; or, First step in applied logic

L J V. Gerard - 1874 - 428 pages
...of section are symmetric to the bisectrix, and conversely. THEOREM 10. Each point of the bisectrix of an angle is equally distant from, the sides of the angle, Let ABC be an angle and B 0 its bisectrix. From any point O of the bisectrix BO let there be drawn...
Full view - About this book

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1875 - 390 pages
...parallelograms, we have Ab = A'B', Be — B'C', Cd = C'D'; therefore, PROPOSITION XXXIX.— THEOREM. 126. I/very point in the bisector of an angle is equally distant...; and every point not in the bisector, but within th& angle, is unequally distant from the sides of the angle. 1st. Let AD be the bisector of the angle...
Full view - About this book

Annual Statement, Volumes 11-20

1876 - 646 pages
...Sphere. GEOMETRY. SKPTEMBEK, 1883. [State what text-book you have studied, and to what extent.] 1. Every point in the bisector of an angle is equally...distant from the sides of the angle; and every point within the angle, but not on the bisector, is nearer that side toward which it lies. 2. If the sum...
Full view - About this book

Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - Geometry - 1876 - 384 pages
...is parallel to the bases, and equal to one-half their sum. (?) 105. Proposition XLVII.— Theorem. Every point in the bisector of an angle is equally distant from the sides of the angle. Let E be any point of AD, the bisector of the angle BAC, and EF, EG, the perpendiculars from E to AB,...
Full view - About this book

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1877 - 396 pages
...equal to each other (78), and Ab = Be = Cd. But, the figures A'b, B'c, C'd, being parallelo grams, we have Ab = A'B', Be — B'C', Cd = C'D'; therefore,...the angle. 1st. Let AD be the bisector of the angle BA C, P any point in it, and PE, PF, the perpendicular distances of Pfrom AB and AC; then, PE = PF....
Full view - About this book

Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...sides has the polygon the sum of whose exterior angles is double that of its interior angles t Ч 7. Every point in the bisector of an angle is equally...is unequally distant from the sides of the angle. 8. BA С is a triangle having the angle B double the an "le A. If BD bisect the angle B, and meet A...
Full view - About this book

An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - Geometry - 1877 - 262 pages
...ABE and EBD> CBD (26) ; much more then isABC>CBD. THEOREM XXI. 103. Every point in a line bisecting an angle is equally distant from the sides of the angle ; and every point without the bisecting line but within the angle is unequally distant from tlie sides of the angle....
Full view - About this book

Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 196 pages
...is double that of its interior angles? In this case 4 («— 2) = 4. .'. « = 3. Ex. 7. Every pokit in the bisector of an angle is equally distant from...is unequally distant from the sides of the angle. I. Let A be the given Z, and AB its bisector. From any point in AB, as O, draw OC and OD _L to the...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF