Elements of Plane and Solid GeometryGinn and Heath, 1877 - 398 σελίδες |
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Σελίδα vii
... LINES AND SIMILAR POLYGONS . THEORY OF PROPORTION PROPORTIONAL LINES SIMILAR POLYGONS . CONSTRUCTIONS PAGE 4 7 9 10 11 12 13 • 14 24 37 58 68 73 75 86 87 100 . 103 128 139 143 164 BOOK IV . COMPARISON AND MEASUREMENT OF THE SUR- FACES.
... LINES AND SIMILAR POLYGONS . THEORY OF PROPORTION PROPORTIONAL LINES SIMILAR POLYGONS . CONSTRUCTIONS PAGE 4 7 9 10 11 12 13 • 14 24 37 58 68 73 75 86 87 100 . 103 128 139 143 164 BOOK IV . COMPARISON AND MEASUREMENT OF THE SUR- FACES.
Σελίδα viii
George Albert Wentworth. BOOK IV . COMPARISON AND MEASUREMENT OF THE SUR- FACES OF POLYGONS . COMPARISON AND MEASUREMENT OF POLYGONS 174 CONSTRUCTIONS 194 BOOK V. REGULAR POLYGONS AND CIRCLES . REGULAR POLYGONS AND CIRCLES 210 ...
George Albert Wentworth. BOOK IV . COMPARISON AND MEASUREMENT OF THE SUR- FACES OF POLYGONS . COMPARISON AND MEASUREMENT OF POLYGONS 174 CONSTRUCTIONS 194 BOOK V. REGULAR POLYGONS AND CIRCLES . REGULAR POLYGONS AND CIRCLES 210 ...
Σελίδα 3
... face . It will have six flat faces . Each face of the block is called a Sur- If these surfaces be made smooth by pol- ishing , so that , when a straight - edge is applied to any one of them , the straight - edge in every part will touch ...
... face . It will have six flat faces . Each face of the block is called a Sur- If these surfaces be made smooth by pol- ishing , so that , when a straight - edge is applied to any one of them , the straight - edge in every part will touch ...
Σελίδα 4
... faces AF , BH , DK , and AK respectively . And the surface ABCD will generate the solid A H. C The relative situation of the two points A and H involves three , and only three , independent elements . To pass from A to H it is necessary ...
... faces AF , BH , DK , and AK respectively . And the surface ABCD will generate the solid A H. C The relative situation of the two points A and H involves three , and only three , independent elements . To pass from A to H it is necessary ...
Σελίδα 174
... FACES OF POLYGONS . PROPOSITION I. THEOREM . 313. Two rectangles having equal altitudes are to cach other as their bases . D A 0 C D B Α F E Let the two rectangles be AC and A F , having the the same altitude A D. We are to prove rect ...
... FACES OF POLYGONS . PROPOSITION I. THEOREM . 313. Two rectangles having equal altitudes are to cach other as their bases . D A 0 C D B Α F E Let the two rectangles be AC and A F , having the the same altitude A D. We are to prove rect ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC ABCD altitude arc A B axis base and altitude bisect centre circle circumference circumscribed coincide conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided Draw equal respectively equally distant equilateral equivalent figure frustum Geometry given point greater Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B Let ABC limit line A B measured by arc middle point mutually equiangular number of sides opposite parallel parallelogram parallelopiped perimeter perpendicular plane MN prism prove pyramid Q. E. D. PROPOSITION radii radius equal ratio rectangles regular polygon right angles right triangle SCHOLIUM segment sides of equal similar polygons slant height sphere spherical angle spherical polygon spherical triangle square subtend surface symmetrical tangent tetrahedron THEOREM third side trihedral vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 132 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 140 - 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 206 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 40 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 353 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 179 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 192 - 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 150 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.