An Introduction to Geometry and the Science of Form: Prepared from the Most Approved Prussian Text-books |
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Page 5
... convex surface of the prism . Upon the triangles it is said to stand ; upon the quadrilaterals to lie . The triangular prism has 6 corners , or solid angles . If the prism stands , 3 corners are placed above and 3 below ; if it lies , 4 ...
... convex surface of the prism . Upon the triangles it is said to stand ; upon the quadrilaterals to lie . The triangular prism has 6 corners , or solid angles . If the prism stands , 3 corners are placed above and 3 below ; if it lies , 4 ...
Page 11
... convex surface of each is composed of rectangles ; A has 3 ; B has 6 ; C has 5. A is likewise bounded by 2 triangles ; C by 2 pentagons . 2. Corners or solid angles . A has 6 ; B has 8 ; C has 10 . 3. Edges or sides . A has 9 ; B has 12 ...
... convex surface of each is composed of rectangles ; A has 3 ; B has 6 ; C has 5. A is likewise bounded by 2 triangles ; C by 2 pentagons . 2. Corners or solid angles . A has 6 ; B has 8 ; C has 10 . 3. Edges or sides . A has 9 ; B has 12 ...
Page 34
... angle is called . If there be more than one angle at the same point , we make use of three letters , as , ( fig . 39 ... convex angle . All angles not convex are concave angles . Obtuse , right , and acute angles are Wherever there ...
... angle is called . If there be more than one angle at the same point , we make use of three letters , as , ( fig . 39 ... convex angle . All angles not convex are concave angles . Obtuse , right , and acute angles are Wherever there ...
Page 35
... angle , we may reckon two angles at each vertex . The number of simple and compound angles always equals the number of concave and convex , for the sum of each is the greatest possible number of angles . Four straight lines . Each ...
... angle , we may reckon two angles at each vertex . The number of simple and compound angles always equals the number of concave and convex , for the sum of each is the greatest possible number of angles . Four straight lines . Each ...
Page 36
... angles , one will be a concave angle less than 2 R. A .; the other a convex angle greater than 2 R. A. As much as the one is less than 2 R. A. , by just so much will the other be greater than 2 R. A. , since the sum of both is equal to ...
... angles , one will be a concave angle less than 2 R. A .; the other a convex angle greater than 2 R. A. As much as the one is less than 2 R. A. , by just so much will the other be greater than 2 R. A. , since the sum of both is equal to ...
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Common terms and phrases
adjacent angles angle BAC angles are equal Bisect centre chord circumference coincide concave angles consequently angle construct a square convex angle convex surface cube curved line cylinder decagonal describe a circle diagonals diameter divided division points draw a line Draw a straight equal altitude equal angles equal bases equivalent erect a perpendicular exterior angles feet found by multiplying given number given square greatest number hexagon homologous sides hypothenuse inches inscribed circle isosceles triangle length let fall line drawn line passes magnitude measured Multiply the number number of lines number of points number of straight opposite parallelogram parallelopiped passes 2 points pendicular pentagon proportion protractor quadrilateral radii radius equal ratio regular polygon right angle semi-circumference set intersecting side AC similar similar triangles solidity sphere straight line suppose tangents triangle ABC triangular prism unequal vertex vertices
Popular passages
Page 130 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Page 154 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.