The Elements of GeometryJ. Wiley & Sons, 1885 - 366 páginas |
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Página viii
... perpendicular defined • • 13 8 68 . Complement defined • 13 8 69 . Acute angle defined . • 13 8 70 . Obtuse angle defined • 13 8 71 . Perigon defined • 13 8 72 . Sum of angles about a point is a perigon • 14 8 73 . Reflex angle defined ...
... perpendicular defined • • 13 8 68 . Complement defined • 13 8 69 . Acute angle defined . • 13 8 70 . Obtuse angle defined • 13 8 71 . Perigon defined • 13 8 72 . Sum of angles about a point is a perigon • 14 8 73 . Reflex angle defined ...
Página xiii
... Perpendicular to plane • • • 218-224 226-231 Smallest sect between lines , 232 , 233 Loci and angles made by planes . 233-238 610 . Opposite points and diameter 631 , 632 . defined ARTICLE PAGE ARTICLE Intersecting spheres . PAGE 243 ...
... Perpendicular to plane • • • 218-224 226-231 Smallest sect between lines , 232 , 233 Loci and angles made by planes . 233-238 610 . Opposite points and diameter 631 , 632 . defined ARTICLE PAGE ARTICLE Intersecting spheres . PAGE 243 ...
Página 13
... 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 which is less than a right angle ...
... 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 which is less than a right angle ...
Página 14
... perpendicular to each other are called Oblique Lines . 75. When two lines intersect , a pair of angles contained by the same two lines on different sides of the vertex , having no arm in common , are called Vertical Angles . B C D A 76 ...
... perpendicular to each other are called Oblique Lines . 75. When two lines intersect , a pair of angles contained by the same two lines on different sides of the vertex , having no arm in common , are called Vertical Angles . B C D A 76 ...
Página 17
... perpendicular to . + plus . ... therefore . X angle . ула less than . greater than . △ triangle . ☐ parallelogram . O circle . rt . right . st . straight . CHAPTER III . PRIMARY RELATIONS OF LINES , ANGLES , TABLE OF SYMBOLS . 17.
... perpendicular to . + plus . ... therefore . X angle . ула less than . greater than . △ triangle . ☐ parallelogram . O circle . rt . right . st . straight . CHAPTER III . PRIMARY RELATIONS OF LINES , ANGLES , TABLE OF SYMBOLS . 17.
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 24 - A right-angled triangle is one which has a right angle. The side opposite the right angle is called the hypothenuse.
Página 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.
Página 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.
Página 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.
Página 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.
Página 13 - An Acute Angle is one which is less than a right angle.
Página 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...
Página 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.