The Elements of GeometryJ. Wiley & Sons, 1885 - 366 páginas |
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Página x
... altitudes concurrent . 72 268 , 269 . BOOK II . RECTANGLES . PAGE ARTICLE 95 95 , 96 BOOK III . PAGE 366-368 . Sum ... altitude • • 64 241-244 . Squares 64 245-255 . Rectangles 64 256 , 257 . Complements of parallelo- grams 76 76 77-79 ...
... altitudes concurrent . 72 268 , 269 . BOOK II . RECTANGLES . PAGE ARTICLE 95 95 , 96 BOOK III . PAGE 366-368 . Sum ... altitude • • 64 241-244 . Squares 64 245-255 . Rectangles 64 256 , 257 . Complements of parallelo- grams 76 76 77-79 ...
Página xiv
... altitude , right prism , oblique 758-760 . Parallelopiped , quader , cube 291 761 . · All summits joined by one line , 292 | 775 . quader . Triangular pyramid and prism , 302 ARTICLE CHAPTER V. PAGE ARTICLE PAGE 852-854 . Volume and xiv ...
... altitude , right prism , oblique 758-760 . Parallelopiped , quader , cube 291 761 . · All summits joined by one line , 292 | 775 . quader . Triangular pyramid and prism , 302 ARTICLE CHAPTER V. PAGE ARTICLE PAGE 852-854 . Volume and xiv ...
Página xvi
... Altitude and cross - section of a THE ELEMENTS OF GEOMETRY . BOOK I. CHAPTER I. ON. ARTICLE CHAPTER V. PAGE ARTICLE PAGE 852-854 . Volume and metric units 855 , 856 . 857 . 858 , 859 . Volume of quader and cube Volume of parallelopiped ...
... Altitude and cross - section of a THE ELEMENTS OF GEOMETRY . BOOK I. CHAPTER I. ON. ARTICLE CHAPTER V. PAGE ARTICLE PAGE 852-854 . Volume and metric units 855 , 856 . 857 . 858 , 859 . Volume of quader and cube Volume of parallelopiped ...
Página 76
... altitude of a figure is the perpendicular from its highest point to the line of its base . So the altitude of a parallelogram is the perpendicular dropped from any point of one side to the line of the opposite side . 240. The words " ...
... altitude of a figure is the perpendicular from its highest point to the line of its base . So the altitude of a parallelogram is the perpendicular dropped from any point of one side to the line of the opposite side . 240. The words " ...
Página 80
... altitudes equal .円 8 B K A HYPOTHESIS . AS ABC and BDF mutually equiangular , and alti- tude BH = altitude GB . CONCLUSION . △ ABC ≈ △ BDF . Δ Δ PROOF . Rt . A BDG ≈ rt . △ BCH , ( 176. Triangles are congruent when two angles and ...
... altitudes equal .円 8 B K A HYPOTHESIS . AS ABC and BDF mutually equiangular , and alti- tude BH = altitude GB . CONCLUSION . △ ABC ≈ △ BDF . Δ Δ PROOF . Rt . A BDG ≈ rt . △ BCH , ( 176. Triangles are congruent when two angles and ...
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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.