Elementary Geometry Plane And Solid for Use in High Schools And Academies
Elementary Geometry Plane And Solid for Use in High Schools And Academies
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3. The sides of a triangle ABC are 6, 7, and 8 feet, respectively ; find the lengths of the segments into which the bisector of the opposite angle will divide each side.
4. Show that the diagonals of any quadrilateral inscribed in a circle divide the quadrilateral into four triangles, which are similar, two and two.
5. Sum up the conditions under which two triangles are similar and compare these with the conditions under which two triangles are identi- cally equal as given in Chapter I.
*257. W...e shall hereafter frequently find it convenient to speak of the product of two line-segments, by which we shall mean the product of their measures by a common unit. With this understanding we may enunciate the following two theorems.
168 ELEMENTARY GEOMETRY [CHAP. Ill PROPOSITION VIII 258. If two chords of a circle intersect within the circle the product of the segments of the one equals the product of the segments of the other.
Let AB and CD be two chords intersecting at S within a given circle.
What to read after Elementary Geometry Plane And Solid for Use in High Schools And Academies?
You can find similar books in the "Read Also" column, or choose other free books by Thomas F Thomas Franklin Holgate to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
3. The sides of a triangle ABC are 6, 7, and 8 feet, respectively ; find the lengths of the segments into which the bisector of the opposite angle will divide each side.
4. Show that the diagonals of any quadrilateral inscribed in a circle divide the quadrilateral into four triangles, which are similar, two and two.
5. Sum up the conditions under which two triangles are similar and compare these with the conditions under which two triangles are identi- cally equal as given in Chapter I.
*257. W...e shall hereafter frequently find it convenient to speak of the product of two line-segments, by which we shall mean the product of their measures by a common unit. With this understanding we may enunciate the following two theorems.
168 ELEMENTARY GEOMETRY [CHAP. Ill PROPOSITION VIII 258. If two chords of a circle intersect within the circle the product of the segments of the one equals the product of the segments of the other.
Let AB and CD be two chords intersecting at S within a given circle.
What to read after Elementary Geometry Plane And Solid for Use in High Schools And Academies?
You can find similar books in the "Read Also" column, or choose other free books by Thomas F Thomas Franklin Holgate to read onlineMoreLess
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