Elements of GeometryGinn, Heath, & Company, 1879 - 250 σελίδες |
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Σελίδα 8
... Vertex , and the lines are called the Sides of the angle . An angle is designated by placing a letter at its vertex , and one at each of its sides . In reading , we name the three let- ters , putting the letter at the vertex between the ...
... Vertex , and the lines are called the Sides of the angle . An angle is designated by placing a letter at its vertex , and one at each of its sides . In reading , we name the three let- ters , putting the letter at the vertex between the ...
Σελίδα 9
... vertex and a common side between them . Thus the angles CDE and CDF are adjacent angles . E D A C F 25. DEF . A Right Angle is an angle included between two straight lines which meet each other so that the two adjacent angles formed by ...
... vertex and a common side between them . Thus the angles CDE and CDF are adjacent angles . E D A C F 25. DEF . A Right Angle is an angle included between two straight lines which meet each other so that the two adjacent angles formed by ...
Σελίδα 10
... vertex , and their sides extending in opposite directions . Thus the angles AOD and COB are vertical angles , as also the angles AO C and DO B. ON ANGULAR MAGNITUDE . 33. Let the lines B B ' and A A ' be in the same plane , and let BB ...
... vertex , and their sides extending in opposite directions . Thus the angles AOD and COB are vertical angles , as also the angles AO C and DO B. ON ANGULAR MAGNITUDE . 33. Let the lines B B ' and A A ' be in the same plane , and let BB ...
Σελίδα 11
... vertices coincide in position and their sides in direction . In applying this test of equality , we assume that a line may be moved from one place to another without altering its length ; that an angle may be taken up , turned over ...
... vertices coincide in position and their sides in direction . In applying this test of equality , we assume that a line may be moved from one place to another without altering its length ; that an angle may be taken up , turned over ...
Σελίδα 12
... vertex B shall fall on B ' , then if the side BA fall on B'A ' , the angle ABC equals the angle A'B ' C " ; if the side BA fall between B'C ' and B'A ' in the direction B ' D , the angle ABC is less than A'B'C " ; but if the side B A ...
... vertex B shall fall on B ' , then if the side BA fall on B'A ' , the angle ABC equals the angle A'B ' C " ; if the side BA fall between B'C ' and B'A ' in the direction B ' D , the angle ABC is less than A'B'C " ; but if the side B A ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC AACB ABCD acute adjacent angles alt.-int altitude arc A B base bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon exterior angles figure Geometry given circle given line given point given straight line greater homologous sides hypotenuse Iden isosceles triangle Let A B limit line A B measured by arc middle point number of sides parallelogram perimeter perpendicular PHILLIPS EXETER ACADEMY plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral quantities radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment shortest side sides of equal similar polygons subtend tangent THEOREM third side triangle ABC variable vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 144 - 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'.
Σελίδα 38 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 134 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when...
Σελίδα 200 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 173 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 159 - In any triangle the product of two sides is equal to the product of the diameter...
Σελίδα 132 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Σελίδα 70 - I) is a parallelogram, E and F the middle points of AD and BC respectively ; show that BE and DF will trisect the diagonal A C.
Σελίδα 48 - 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, the third side of the first is greater than the third side of the second...
Σελίδα 81 - A straight line perpendicular to a radius at its extremity is a tangent to the circle. Let MB be perpendicular to the radius OA at A.