{"{0} bits":"{0} 位元","<< (shift left)":"<<（左移）",">> (shift right)":">>（右移）","Angle with the x-axis":"與x軸的角度","Arithmetic and bitwise operations on whole numbers of any size, entered in binary, octal, decimal, or hexadecimal. Division discards the remainder, as integer division does in programming languages; mod gives the remainder. AND, OR, and XOR compare the bits one by one, and shifting left by n multiplies by 2ⁿ. Negative results are also shown in two's complement, the way computers store them.":"對任意大小的整數進行算術與位元運算，可使用二進位、八進位、十進位或十六進位輸入。除法會捨去餘數，就像程式語言中的整數除法；mod會給出餘數。AND、OR和XOR會逐一比較位元，向左移動n位會乘以2ⁿ。負數結果也會以二補數顯示，也就是電腦儲存負數的方式。","as a fraction {0}":"分數形式{0}","Binary":"二進位","Binary (base 2)":"二進位（基數2）","Binary calculator":"二進位計算機","Decimal":"十進位","Decimal (base 10)":"十進位（基數10）","Distance":"距離","Distance between the points":"兩點之間的距離","Distance from each point to the midpoint":"各點到中點的距離","Division by zero is not defined.":"除以零沒有定義。","Does not fit":"不適用","Enter a length above zero.":"請輸入大於零的長度。","Enter both points.":"請輸入兩個點。","Enter whole numbers using only the digits of the chosen base; prefixes such as 0x and 0b are fine.":"請使用所選基數的數字輸入整數；也可以使用0x和0b等前綴。","Equation":"方程式","First number":"第一個數字","Golden ratio calculator":"黃金比例計算機","Golden rectangle":"黃金矩形","Golden rectangle divided into a square and a smaller golden rectangle":"分割成正方形和較小黃金矩形的黃金矩形","grade {0}%":"坡度{0}%","Hexadecimal":"十六進位","Hexadecimal (base 16)":"十六進位（基數16）","Longer part (a)":"較長部分（a）","Midpoint":"中點","Midpoint calculator":"中點計算機","Numbers are in":"數字格式","Octal":"八進位","Octal (base 8)":"八進位（基數8）","Operation":"運算","or {0} × {1}":"或{0} × {1}","Positions to shift (decimal)":"移動位數（十進位）","Second number":"第二個數字","Shift by 0 to 4,096 positions.":"可移動0到4,096位。","Shorter part (b)":"較短部分（b）","Slope":"斜率","Slope calculator":"斜率計算機","Slope is rise over run: m = (y₂ − y₁) ÷ (x₂ − x₁). The line then passes through both points as y = mx + b, with b = y₁ − m·x₁. A positive slope rises to the right, zero is horizontal, and a vertical line has no defined slope. As a percentage grade, used for roads and ramps, it is m × 100.":"斜率是升高量除以水平距離：m = (y₂ − y₁) ÷ (x₂ − x₁)。這條直線會通過兩個點，表示為y = mx + b，其中b = y₁ − m·x₁。正斜率向右上升，斜率為零代表水平線，而垂直線沒有定義斜率。用於道路和坡道的百分比坡度則為m × 100。","Slope m":"斜率m","The midpoint averages the coordinates: M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2). The distance between the points comes from Pythagoras: d = √((x₂ − x₁)² + (y₂ − y₁)²). Going the other way, if you know one end and the midpoint, the other end is 2M minus the known end.":"中點是座標的平均值：M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2)。兩點之間的距離根據畢氏定理計算：d = √((x₂ − x₁)² + (y₂ − y₁)²)。反過來，如果知道其中一個端點和中點，另一個端點就是2M減去已知端點。","The two points and the line through them":"兩個點及通過兩點的直線","The two points and their midpoint":"兩個點及其中點","The two points are the same, so they do not define a line.":"兩個點相同，因此無法定義直線。","Two lengths are in the golden ratio when the whole is to the longer part as the longer part is to the shorter: (a + b) ÷ a = a ÷ b = φ = (1 + √5) ÷ 2 ≈ 1.6180. A golden rectangle cut into a square leaves a smaller golden rectangle, and so on, which traces the spiral in the drawing. Ratios of consecutive Fibonacci numbers, 8 ÷ 5, 13 ÷ 8, 21 ÷ 13, approach φ.":"兩個長度符合黃金比例，是因為整體與較長部分的比例等於較長部分與較短部分的比例：(a + b) ÷ a = a ÷ b = φ = (1 + √5) ÷ 2 ≈ 1.6180。將黃金矩形切出一個正方形後，會留下較小的黃金矩形，如此繼續下去，就能描繪出圖中的螺旋。連續費氏數的比例8 ÷ 5、13 ÷ 8、21 ÷ 13會趨近φ。","Two's complement ({0} bits)":"二補數（{0}位元）","Two's complement width":"二補數寬度","Undefined (vertical line)":"未定義（垂直線）","Whole length (a + b)":"總長度（a + b）","x-intercept {0}":"x截距{0}","y-intercept":"y截距","You know":"已知"}