College Entrance Examination Papers in Plane GeometryCharles E. Merrill Company, 1911 - 178 Seiten |
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Ergebnisse 1-5 von 33
Seite 11
... triangle , ABC , straight lines be drawn parallel to the sides , AB , AC , respectively , so as to meet AC in M and AB in N , the area of the triangle AMN is a mean proportional between the areas of the triangles BNO and CMO . 4 ...
... triangle , ABC , straight lines be drawn parallel to the sides , AB , AC , respectively , so as to meet AC in M and AB in N , the area of the triangle AMN is a mean proportional between the areas of the triangles BNO and CMO . 4 ...
Seite 28
... triangle ABC two points D and E are so taken on the sides AB and AC respectively that AD : AC = AE : AB . Prove that a circumference can be passed through the four points BCDE . 3. An angle of 60 ° moves so that both of its sides touch ...
... triangle ABC two points D and E are so taken on the sides AB and AC respectively that AD : AC = AE : AB . Prove that a circumference can be passed through the four points BCDE . 3. An angle of 60 ° moves so that both of its sides touch ...
Seite 32
... triangle are equal , the triangle is isosceles . The triangle ABC has a right angle at A. Through A a line is drawn forming with AB an angle equal to B , and cutting BC in D. Prove that the two triangles ABD and ADC are isosceles , and ...
... triangle are equal , the triangle is isosceles . The triangle ABC has a right angle at A. Through A a line is drawn forming with AB an angle equal to B , and cutting BC in D. Prove that the two triangles ABD and ADC are isosceles , and ...
Seite 33
triangle is 7 inches and the radius of the circle 1 inch . Com- pute to two decimal places the perimeter and the ... ABC is a triangle ; BD , CE are lines drawn making equal angles with BC , meeting the opposite sides in D and E , and ...
triangle is 7 inches and the radius of the circle 1 inch . Com- pute to two decimal places the perimeter and the ... ABC is a triangle ; BD , CE are lines drawn making equal angles with BC , meeting the opposite sides in D and E , and ...
Seite 40
... triangle , forming a figure as here shown . Prove that if the perimeter of this figure is one - fifth greater than ... ABC as bases equal isosceles triangles ABP , ACQ , BCR , are constructed ; the first two are exterior to the given triangle ...
... triangle , forming a figure as here shown . Prove that if the perimeter of this figure is one - fifth greater than ... ABC as bases equal isosceles triangles ABP , ACQ , BCR , are constructed ; the first two are exterior to the given triangle ...
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College Entrance Examination Papers in Plane Geometry (Classic Reprint) Charles A. Marsh Keine Leseprobe verfügbar - 2017 |
College Entrance Examination Papers in Plane Geometry (Classic Reprint) Charles A. Marsh Keine Leseprobe verfügbar - 2017 |
Häufige Begriffe und Wortgruppen
ABCD adjacent angles altitude angle is equal apothem bisector bisects centre circle of radius circum circumference circumscribed circle diameter dihedral angles distance equal angles equal circles equal respectively equal to one-half equilateral triangle EXAMINATIONS IN PLANE external segment feet Find the area Find the length Find the locus fixed point GEOMETRY FOR ADMISSION given circle given line given point given straight line homologous sides hypotenuse included angle inscribed circle intercepted arcs interior angles isosceles triangle joining the middle JUNE lines drawn mean proportional measured by one-half middle points non-parallel sides number of sides opposite side parallel lines parallelogram PLANE GEOMETRY point of contact point of intersection quadrilateral radii ratio rectangle regular hexagon regular polygon rhombus right angles right triangle SEPTEMBER Show similar polygons similar triangles solid geometry subtends theorem third side three sides trapezoid triangle ABC triangle divides triangles are equal triangles are similar vertex whole secant zoid
Beliebte Passagen
Seite 96 - 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.
Seite 52 - ... meeting the plane at unequal distances from the foot of the perpendicular the more remote is the greater.
Seite 84 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.
Seite 16 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Seite 95 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Seite 17 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Seite 59 - Construct a circle having its center in a given line and passing through two given points. 3. The bisector of the angle of a triangle divides the opposite side into segments which are proportional to the two other sides.
Seite 172 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.
Seite 135 - If two triangles have two sides of 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.
Seite 60 - The area of a circle is equal to one-half the product of its circumference and radius.