The Elements of GeometryJ. Wiley & Sons, 1885 - 366 sider |
Inni boken
Resultat 1-5 av 51
Side 13
... half a straight angle . A 67. A Perpendicular to a line is a line that makes a right angle with it . B C 0 A 68. When the sum of two angles is a right angle , each is said to be the Complement of the other . B 69. An Acute Angle is one ...
... half a straight angle . A 67. A Perpendicular to a line is a line that makes a right angle with it . B C 0 A 68. When the sum of two angles is a right angle , each is said to be the Complement of the other . B 69. An Acute Angle is one ...
Side 18
... half a straight angle at O , and FHG is half a straight angle at H. The conclusion is , that AOB and FHG are equal . The proof consists in stating the equality of the two straight angles of which the angles AOB and FHG are halves ...
... half a straight angle at O , and FHG is half a straight angle at H. The conclusion is , that AOB and FHG are equal . The proof consists in stating the equality of the two straight angles of which the angles AOB and FHG are halves ...
Side 19
... half a st . ☀ ; also ☀ FHG is half a st . ¥ . ( 66. A right angle is half a straight angle . ) By 98 , all straight angles are equal , .. · ¥ AOB = X FHG . ( 93. Halves of equals are equal . ) 105. COROLLARY . From a point on a line ...
... half a st . ☀ ; also ☀ FHG is half a st . ¥ . ( 66. A right angle is half a straight angle . ) By 98 , all straight angles are equal , .. · ¥ AOB = X FHG . ( 93. Halves of equals are equal . ) 105. COROLLARY . From a point on a line ...
Side 21
... Half a perigon is a straight angle . ) .. AO and OC form one line . ( 65. If two supplemental angles be added , their exterior arms will form one line . ) In the same way we may prove that ☀ AOB and ☀ DOA are sup- plemental adjacent ...
... Half a perigon is a straight angle . ) .. AO and OC form one line . ( 65. If two supplemental angles be added , their exterior arms will form one line . ) In the same way we may prove that ☀ AOB and ☀ DOA are sup- plemental adjacent ...
Side 33
... half a right angle . 6. A is a point without a given line , BC . Construct an isosceles triangle , having A as vertex , whose base shall lie along BC , and be equal to a given sect . II . If a right - angle triangle have one acute angle ...
... half a right angle . 6. A is a point without a given line , BC . Construct an isosceles triangle , having A as vertex , whose base shall lie along BC , and be equal to a given sect . II . If a right - angle triangle have one acute angle ...
Innhold
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Vanlige uttrykk og setninger
ABCD alternate angles angles are equal angles equal angles opposite base bisect called chord circumcenter coincide common commutative law CONCLUSION construction COROLLARY diagonal diameter divided draw end point equal are congruent equal sects equiangular equilateral equivalent exterior angle figure given line given point given sect greater greatest common divisor hypothenuse HYPOTHESIS included angle inscribed inscribed angle intercepted interior isosceles triangle less line perpendicular magnitudes meet multiples number of sides pair parallelogram pass perigon perimeter perpendicular bisector plane MN PROOF proportional quadrilateral radii radius ratio rectangle rectangle contained regular polygon respectively equal right angle Rule of Inversion sect joining segment sphere spherical polygon spherical triangle square straight angle subtended surface symmetrical tangent tetrahedron THEOREM THEOREM VII transversal triangles are congruent vertex vertices
Populære avsnitt
Side 44 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Side 112 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Side 24 - A right-angled triangle is one which has a right angle. The side opposite the right angle is called the hypothenuse.
Side 190 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 270 - BC with the same radius. Then a line through A touching this arc will be the required parallel. Or, use a straight edge and triangle.
Side 101 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Side 266 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Side 104 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square...
Side 107 - In an obtuse-angled triangle the square on the side opposite the obtuse angle is greater than the sum of the squares on the other two sides by twice the rectangle contained by either side and the projection on it of the other side.