## Elements of Geometry and Trigonometry |

### From inside the book

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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 ...

**given line**. 13. Magnitudes , which being applied to each other , coincide throughout their whole extent , are ... Page 22

Adrien Marie Legendre. PROPOSITION XIV . THEOREM . From a given point , without a straight line , only one perpendicu lar can be drawn to that line . Let A be the point , and DE the

Adrien Marie Legendre. PROPOSITION XIV . THEOREM . From a given point , without a straight line , only one perpendicu lar can be drawn to that line . Let A be the point , and DE the

**given line**. A B E Let us suppose that we can draw two ... Page 23

Adrien Marie Legendre. Let A be the given point , DE the

Adrien Marie Legendre. Let A be the given point , DE the

**given line**, AB the perpendicular , and AD , AC , AE , the oblique lines . Produce the perpendicular AB till BF is equal to AB , and draw FC , FD . First . The triangle BCF , is ... Page 24

Adrien Marie Legendre. Let AB be the

Adrien Marie Legendre. Let AB be the

**given**straight**line**, C the middle point , and ECF the perpendicular . First , Since AC = CB , the two oblique**lines**AD , DB , are equally distant from the perpen- dicular , and therefore equal ( Prop ... Page 28

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**line**, are paralle to each other . Let CD and AB be parallel to the third**line**EF ; then are they parallel to each ...**given**, if through two points E and F , assumed at pleasure , the straight**lines**EG , FH , be drawn ...### Other editions - View all

### Common terms and phrases

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