## Elements of Geometry and Trigonometry |

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Page 11

Among the quadrilaterals , we distinguish : The

Among the quadrilaterals , we distinguish : The

**square**, which has its sides equal , and its angles right - angles . The rectangle , which has its angles right angles , without having its sides equal . The parallelogram , or rhomboid ... Page 13

A number placed before a line , or a quantity , serves as a multiplier to that line or quantity ; thus , 3AB signifies that the line AB is taken three times ; A signifies the half of the angle A. The

A number placed before a line , or a quantity , serves as a multiplier to that line or quantity ; thus , 3AB signifies that the line AB is taken three times ; A signifies the half of the angle A. The

**square**of the line AB is designated ... Page 31

... each of them will be a right angle ; a conclusion which sanctions the seventeenth Definition , where the four angles of a quadrilateral are asserted to be right angles , in the case of the rectangle and the

... each of them will be a right angle ; a conclusion which sanctions the seventeenth Definition , where the four angles of a quadrilateral are asserted to be right angles , in the case of the rectangle and the

**square**. Cor . 2. Page 36

the product of the extremes will be equal to the

the product of the extremes will be equal to the

**square**of the mean . PROPOSITION II . THEOREM . If the product of two quantities be equal to the product of two other quantities , two of them will be the extremes and the other two the ... Page 63

If the given angle is a right angle , the figure will be a rectangle ; if , in addition to this , the sides are equal , it will be a

If the given angle is a right angle , the figure will be a rectangle ; if , in addition to this , the sides are equal , it will be a

**square**. E * E A La Scholium . The same construction serves for making a circumference pass through ...### What people are saying - Write a review

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### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole