Plane and Solid GeometryGinn & Company, 1900 |
Inni boken
Resultat 1-5 av 46
Side 6
... opposite two equal sides equal , the angles opposite the other two equal sides are equal or supplementary , and if equal the triangles are equal . Let AC A'C ' , = BC - B'C ' , and B = LB ' . To prove that A and C'A'B ' are equal or ...
... opposite two equal sides equal , the angles opposite the other two equal sides are equal or supplementary , and if equal the triangles are equal . Let AC A'C ' , = BC - B'C ' , and B = LB ' . To prove that A and C'A'B ' are equal or ...
Side 7
... opposite sides meet in a point . Let the is be AH , BP , and CK . To prove that AH , BP , and CK meet in a point . Proof . Through A , B , C suppose B'C ' , A'C ' , A'B ' , drawn | to CB , CA , BA , respectively . A P K O B H Then Now ...
... opposite sides meet in a point . Let the is be AH , BP , and CK . To prove that AH , BP , and CK meet in a point . Proof . Through A , B , C suppose B'C ' , A'C ' , A'B ' , drawn | to CB , CA , BA , respectively . A P K O B H Then Now ...
Side 8
... opposite side . Let the two medians AD and CE meet at 0 . To prove that the third median BH passes through O. Proof . Take F the middle point of OA , and G of OC . Draw GF , FE , ED , and DG . H In △ AOC , FG is to AC and equal to AC ...
... opposite side . Let the two medians AD and CE meet at 0 . To prove that the third median BH passes through O. Proof . Take F the middle point of OA , and G of OC . Draw GF , FE , ED , and DG . H In △ AOC , FG is to AC and equal to AC ...
Side 11
... opposite side , the triangle is isosceles . Let CD , the bisector of the C of the △ ABC , be 1 to AB . To prove that △ ABC is isosceles . Proof . In the rt . A ADB and ADC , C and CD is common , LACDL BCD . .. Δ ADB = Δ ADC . ... . AC ...
... opposite side , the triangle is isosceles . Let CD , the bisector of the C of the △ ABC , be 1 to AB . To prove that △ ABC is isosceles . Proof . In the rt . A ADB and ADC , C and CD is common , LACDL BCD . .. Δ ADB = Δ ADC . ... . AC ...
Side 15
... OPPOSITE THEOREM . If a triangle is not isosceles , the bisectors of the base angles are not equal . In the ABC , let ZABC be greater than ZACB ; let BE bisect ZABC , and CD bisect ACB . To prove that CD > BE . Proof . Now KC > KB . Now ...
... OPPOSITE THEOREM . If a triangle is not isosceles , the bisectors of the base angles are not equal . In the ABC , let ZABC be greater than ZACB ; let BE bisect ZABC , and CD bisect ACB . To prove that CD > BE . Proof . Now KC > KB . Now ...
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Vanlige uttrykk og setninger
AABC AB² AC² altitude angle apothem arc AC base BD² bisect bisector centre chord circumference circumscribed cone Const describe diagonals diameter dihedral directrix distance Draw AC drawn EFGH ellipse equal equidistant equilateral triangle equivalent Find the area Find the locus frustum given circle given length given plane given point given radius Hence hypotenuse inches intersection isosceles trapezoid isosceles triangle latus rectum Let ABCD median meet middle point parallel pentagon perimeter perpendicular plane MN produced prove that Proof pyramid Q. E. D. Ex Q. E. F. Discussion quadrilateral radii radius rectangle regular hexagon regular polygon respectively rhombus S-ABC segment sides similar sphere square feet straight line surface tangent tetrahedron trihedral vertex vertices Нур
Populære avsnitt
Side 6 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Side 90 - The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side.
Side 121 - The square constructed upon the difference of two straight lines is equivalent to the sum of the squares constructed upon these two lines, diminished by twice the rectangle of these lines. Let AB and AC be the two straight lines, and BC their difference.
Side 121 - The square constructed upon the sum of two straight lines is equivalent to the sum of the squares constructed upon these two linec, increased by twice the rectangle of these lines.
Side 17 - The sum of the perpendiculars dropped from any point in the base of an isosceles triangle to the legs, is equal to the altitude upon one of the arms.
Side 17 - The sum of the perpendiculars from any point within an equilateral triangle to the three sides is equal to the altitude of the triangle (Fig.
Side 145 - The sides of a triangle are 10 feet, 17 feet, and 21 feet. Find the areas of the parts into which the triangle is divided by the bisector of the angle formed by the first two sides.
Side 53 - Prove that the locus of the vertex of a triangle, having a given base and a given angle at the vertex, is the arc which forms with the base a segment capable of containing the given angle (§ 318).
Side 187 - I cannot see why it is so very important to know that the lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal! The knowledge doesn't make life any sweeter or happier, does it?
Side 120 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.