Elements of Plane GeometryE.H. Butler & Company, 1882 - 196 σελίδες |
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Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 11
... included between two straight lines which meet each other so as to make the adjacent angles equal . Thus , if the angles a and b are equal , each is a right angle . 20. Perpendicular Lines are such as make right angles with each other ...
... included between two straight lines which meet each other so as to make the adjacent angles equal . Thus , if the angles a and b are equal , each is a right angle . 20. Perpendicular Lines are such as make right angles with each other ...
Σελίδα 41
... included angle of the one are respectively equal to two sides and the included angle of the other . 1 = In the As ABC and DEF , let AB DE , AC and a = DF , A a Lb. C B D To prove that △ ABC = = A DEF . Place the ABC upon DEF , applying ...
... included angle of the one are respectively equal to two sides and the included angle of the other . 1 = In the As ABC and DEF , let AB DE , AC and a = DF , A a Lb. C B D To prove that △ ABC = = A DEF . Place the ABC upon DEF , applying ...
Σελίδα 42
... included side of the one are respectively equal to two angles and the included side of the other . In the As ABC and DEF , let a = d , Lb Le , and AB = DE . C F = а A e B D E To prove that △ ABC = △ DEF . Place the △ ABC upon the ...
... included side of the one are respectively equal to two angles and the included side of the other . In the As ABC and DEF , let a = d , Lb Le , and AB = DE . C F = а A e B D E To prove that △ ABC = △ DEF . Place the △ ABC upon the ...
Σελίδα 44
... included angles unequal , the third sides are unequal , and the greater third side is in the triangle having the greater included angle . = In the As ABC and DEF , let AC DF , CB = FE , and ACB > L c . A F B E E D Place the To prove ...
... included angles unequal , the third sides are unequal , and the greater third side is in the triangle having the greater included angle . = In the As ABC and DEF , let AC DF , CB = FE , and ACB > L c . A F B E E D Place the To prove ...
Σελίδα 61
... included angle of the one are respectively equal to two sides and the included angle of the other . Let ABCD and EFGH be two □ s , having AD = EH , a = △ b . AB = EF , and α Α D CH b B E To prove that ABCD = EFGH . Draw the diagonals ...
... included angle of the one are respectively equal to two sides and the included angle of the other . Let ABCD and EFGH be two □ s , having AD = EH , a = △ b . AB = EF , and α Α D CH b B E To prove that ABCD = EFGH . Draw the diagonals ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABC and DEF AC and BC acute angle adjacent angles angles are equal angles equals angles formed arc AC BC² bisectors bisects centre CF meet chord common point Concave Polygon construct Convex Polygon COR.-The decagon DEF are similar diagonal BC diameter Draw the diagonal equally distant equals two right equiangular Equilateral Polygon exterior angles given circle given straight line homologous sides hypothenuse included angle intersect La=Lb Let ABCD line joining lines drawn measured by arc medial lines middle point oblique lines parallelogram perimeter PLANE GEOMETRY produced proportion Q. E. D. THEOREM Q. E. F. PROBLEM quadrilateral radii radius rectangle regular inscribed regular polygon respectively equal rhombus right angles right-angled triangle SCHOLIUM secant similar polygons square Subtract tangent third side trapezoid triangles are equal vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 14 - Things which are equal to the same thing, are equal to each other. 2. If equals are added to equals, the sums are equal. 3. If equals are subtracted from equals, the remainders are equal. 4. If equals are added to unequals, the sums are unequal.
Σελίδα 83 - 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 85 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 44 - If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side.
Σελίδα 14 - Axioms. 1. Things which are equal to the same thing are equal to each other. 2. If equals are added to equals, the wholes are equal. 3. If equals are taken from equals, the remainders are equal.
Σελίδα 136 - 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, minus twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 123 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 55 - A polygon of three sides is a triangle ; of four, a quadrilateral; of five, a pentagon ; of six, a hexagon ; of seven, a heptagon; of eight, an octagon; of nine, a nonagon; of ten, a decagon; of twelve, a dodecagon.
Σελίδα 137 - 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.
Σελίδα 177 - From this proposition it is evident, that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines.