The Elements of GeometryJ. Wiley & Sons, 1885 - 366 sider |
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Side xii
... Multiples . BOOK VI . RATIO APPLIED . PAGE 504 , 505. Rectangles are as their bases , 183 , 184 PAGE 523 , 524. The bisector of an angle ,. I. Partition of a Perigon . ARTICLE PAGE 437 . 151 • 152 153-154 • Side of inscribed hexagon ...
... Multiples . BOOK VI . RATIO APPLIED . PAGE 504 , 505. Rectangles are as their bases , 183 , 184 PAGE 523 , 524. The bisector of an angle ,. I. Partition of a Perigon . ARTICLE PAGE 437 . 151 • 152 153-154 • Side of inscribed hexagon ...
Side 167
... same perimeter as Q and the same number of sides as P ; then , by 449 , Q > R , or P > R ; therefore the perimeter of P is greater than that of R or of Q. BOOK V. RATIO AND PROPORTION . Multiples . 451. NOTATION REGULAR POLYGONS . 167.
... same perimeter as Q and the same number of sides as P ; then , by 449 , Q > R , or P > R ; therefore the perimeter of P is greater than that of R or of Q. BOOK V. RATIO AND PROPORTION . Multiples . 451. NOTATION REGULAR POLYGONS . 167.
Side 169
... the less ; that is , when the greater contains the less an exact number of times . 453. A lesser magnitude is a Submultiple , or Aliquot 169 ARTICLE BOOK V RATIO AND PROPORTION PAGE ARTICLE 464-472 Multiples 451-453 Multiples.
... the less ; that is , when the greater contains the less an exact number of times . 453. A lesser magnitude is a Submultiple , or Aliquot 169 ARTICLE BOOK V RATIO AND PROPORTION PAGE ARTICLE 464-472 Multiples 451-453 Multiples.
Side 170
... multiple of , or exactly contains , a third magnitude , they are said to be Com- mensurable . 455. If there is no magnitude which each of two given mag- nitudes will contain an exact number of times , they are called Incommensurable ...
... multiple of , or exactly contains , a third magnitude , they are said to be Com- mensurable . 455. If there is no magnitude which each of two given mag- nitudes will contain an exact number of times , they are called Incommensurable ...
Side 171
... multiple of CD ; and therefore , to be a submultiple of AB , it must be an aliquot part of FB the first remainder . Sim- ilarly , CD and the first remainder FB being divisible by G , the second remainder HD must be so , and in the same ...
... multiple of CD ; and therefore , to be a submultiple of AB , it must be an aliquot part of FB the first remainder . Sim- ilarly , CD and the first remainder FB being divisible by G , the second remainder HD must be so , and in the same ...
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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.