## Elements of Geometry and Trigonometry |

### From inside the book

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Page 9

... line is length without breadth , or thickness . The extremities of a line are called points : a point , there- fore , has neither length , breadth , nor thickness , but position only . 3. A

... line is length without breadth , or thickness . The extremities of a line are called points : a point , there- fore , has neither length , breadth , nor thickness , but position only . 3. A

**straight line**is the shortest distance from ... Page 10

Adrien Marie Legendre Charles Davies. 9. When two

Adrien Marie Legendre Charles Davies. 9. When two

**straight lines**, AB , AC , meet each other , their inclination or ... line AB meets another**straight line**CD , so as to make the adjacent angles BAC , BAD , equal to each other , each of ... Page 13

... line AB , which expresses the distance between the points A and B. The expression Ax ( B + C - D ) represents the ...

... line AB , which expresses the distance between the points A and B. The expression Ax ( B + C - D ) represents the ...

**straight line**can be drawn . 12. Through the same point , only one**straight line**can be drawn which shall be parallel ... Page 14

Adrien Marie Legendre Charles Davies. PROPOSITION I. THEOREM . If one

Adrien Marie Legendre Charles Davies. PROPOSITION I. THEOREM . If one

**straight line**meet another**straight line**, the sum of the two adjacent angles will be equal to two right angles . Let the**straight line**DC meet the**straight line**AB at ... Page 15

... line CF , making with AC the right angle ACF . Now , since ACD is a

... line CF , making with AC the right angle ACF . Now , since ACD is a

**straight line**, the angle FCD will be a right angle ( Prop . I. Cor . 1. ) ; and since ACE is a**straight line**, the angle FCE will likewise ... straight A lines ,. BOOK I.### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex