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An inscribed planar shape or solid is one that is enclosed by and "fits snugly" inside another geometric shape or solid. To say that "square is inscribed in triangle" means precisely the same thing as "triangle is circumscribed about square".Biggest Square that can be inscribed within an Equilateral triangle −Biggest Square that can be inscribed within an Equilateral triangle −Let’s take an example, Input: 5 Output: 2.32ExplanationThe side of the square be x.Now, AH is perpendicular to DE.DE is parallel to BC, angle AED = angle ACB = 60In triangle EFC, ⇒ Sin60 = x/ EC ⇒ √3 / ... Read More
A Reuleaux triangle is a shape formed from the intersection of three circular disks, each having its center on the boundary of the other two. Its boundary is a curve of constant width, the simplest and best known such curve other than the circle itself. Constant width means that the separation of every two parallel supporting lines is the same, independent of their orientation. Because all its diameters are the same.The boundary of a Reuleaux triangle is a constant width curve based on an equilateral triangle. All points on a side are equidistant from the opposite vertex.To construct a Reuleaux ... Read More
A Reuleaux triangle is a shape formed from the intersection of three circular disks, each having its center on the boundary of the other two. Its boundary is a curve of constant width, the simplest and best known such curve other than the circle itself. Constant width means that the separation of every two parallel supporting lines is the same, independent of their orientation. Because all its diameters are the same.The boundary of a Reuleaux triangle is a constant width curve based on an equilateral triangle. All points on a side are equidistant from the opposite vertex.To construct a Reuleaux triangleFormula for Reuleaux triangleArea of the Reuleaux ... Read More
A Reuleaux triangle is a shape formed from the intersection of three circular disks, each having its center on the boundary of the other two. Its boundary is a curve of constant width, the simplest and best known such curve other than the circle itself. Constant width means that the separation of every two parallel supporting lines is the same, independent of their orientation. Because all its diameters are the same.The boundary of a Reuleaux triangle is a constant width curve based on an equilateral triangle. All points on a side are equidistant from the opposite vertex.To construct a Reuleaux ... Read More
A Reuleaux triangle is a shape formed from the intersection of three circular disks, each having its center on the boundary of the other two. Its boundary is a curve of constant width, the simplest and best known such curve other than the circle itself. Constant width means that the separation of every two parallel supporting lines is the same, independent of their orientation. Because all its diameters are the same.The boundary of a Reuleaux triangle is a constant width curve based on an equilateral triangle. All points on a side are equidistant from the opposite vertex.To construct a Reuleaux ... Read More
A Reuleaux triangle is a shape formed from the intersection of three circular disks, each having its center on the boundary of the other two. Its boundary is a curve of constant width, the simplest and best known such curve other than the circle itself. Constant width means that the separation of every two parallel supporting lines is the same, independent of their orientation. Because all its diameters are the same.The boundary of a Reuleaux triangle is a constant width curve based on an equilateral triangle. All points on a side are equidistant from the opposite vertex.To construct a Reuleaux ... Read More
Here we will see one microprocessor program using 8085. In this program we will see how to sort a sequence of numbers using selection sort.Problem Statement −Write an 8085 Assembly language program to sort a given sequence using selection sort in ascending order. The numbers are stored at 8001H onwards. 8000H is holding the block size.Discussion −In the selection sorting technique, we will choose the minimum or the maximum term from a set of numbers. In this case we are considering the sorting in ascending order, so we are choosing the minimum number. By taking the minimum number, we are swapping it ... Read More
Now let us see a program of Intel 8085 Microprocessor. This program will find the LCM of two 8-bit numbers.Problem Statement −Write 8085 Assembly language program to find LCM of two 8-bit numbers stored at location 8000H and 8001HDiscussion −In this program we are reading the data from 8000H and 8001H. By loading the number, we are storing it at C register, and clear the B register. The second number is loaded into Accumulator. Set DE as the 2’s complement of BC register. This DE is used to subtract BC from HL pair.The method is like this: let us say the numbers ... Read More
Here we will see one 8085 Microprocessor program, that can check whether a number is palindrome or not.Problem Statement −Write an 8085 Assembly language program to check whether a bit pattern is palindrome or not.Discussion −In this program we are taking the number from location 8000H. The program will return 00H if the number is not palindrome, otherwise it will return FFH.Let the Input is 18H so the binary value is (0001 1000) this is a palindrome. The number 52H (0101 0010) it is not a palindrome.In this problem we are taking the first number into accumulator, then shifting it to the ... Read More
Here we will see a program of Intel 8085 Microprocessor. Using this program, we can convert 8-bit numbers to two digit ASCII values.Problem Statement− Write an 8085 Assembly language program to convert 8-bit binary to 2-character ASCII values. The 8-bit binary number is stored in memory location 8050H. Separate each nibbles and convert it to corresponding ASCII code and store it to the memory location 8060H and 8061H.Discussion−In this problem we are using a subroutine to convert one hexadecimal digit (nibble) to its equivalent ASCII values. As the 8-bit number contains two nibbles, so we can execute this subroutine to find ... Read More