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" The acute angle which a straight line makes with its own projection upon a plane is the least angle which it makes with any line of that plane. "
Chauvenet's Treatise on Elementary Geometry - Σελίδα 214
των William Chauvenet, William Elwood Byerly - 1887 - 322 σελίδες
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Nature, Τόμος 65

Sir Norman Lockyer - 1902 - 688 σελίδες
...angles between a line which meets a plane and the lines in the plane than Prop. xx. in § 449, viz., " The acute angle which a straight line makes with its own projection upon a plane is the least angle it makes with any line ofthat plane." It is advantageous to know, not only the least and the greatest...

Nature, Τόμος 65

Sir Norman Lockyer - 1902 - 1074 σελίδες
...angles between a line which meets a plane and the lines in the plane than Prop. xx. in § 449, viz., " The acute angle which a straight line makes with its own projection upon a plane is the least angle it makes with any line of that plane." It is advantageous to know, not only the least and the greatest...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 380 σελίδες
...any oblique line; therefore, the angle ABa is less than the angle ABC (I. 85). ~F*~ 60. Definition. The acute angle which a straight line makes with its own projection upon a plane is called the inclination of the line to the plane, or the angle of the line and plane. 61. Definition....

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 382 σελίδες
...than any oblique line ; therefore, the angle ABa is less than the angle ABC (I. 85). 60. Definition. The acute angle which a straight line makes with its own projection upon a plane is called the inclination of the line to the plane, or the angle of the line and plane. 61. Definition....

Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - 1876 - 384 σελίδες
...which are equally distant from two given points. 3. The angle which a straight line makes with its projection upon a plane is the least angle which it makes with any line of that plane. 5. Find the locus of the points which are equally distant from two given straight lines in the same...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 416 σελίδες
...PROPOSITION XXI. THEOREM. 478. The acute angle which a straight line makes with its own projection on a plane is the least angle which it makes with any line of that plane. Let BA meet the plane MN at B, and let B A' be its projection upon the plane MN, and B С any other line drawn...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 416 σελίδες
...PROPOSITION XXI. THEOREM. 478. The aciife angle which a straight line makes with its own projection on a plane is the least angle which it makes with any line of that plane. A Let BA meet the plane MN at В, and let B A' be its projection upon the plane M У, and B С any...

An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - 1877 - 262 σελίδες
...which it makes with any other line in that plane. Let a B be the projection of the straight line AB upon the plane MN, the point B being the point of intersection of the given line and its projection ; let CD be any other straight line in the plane MN ; through the point...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 426 σελίδες
...homologous sides of equal A ). QED SOLID ANGLES. SUPPLEMENTARY PROPOSITIONS. PROPOSITION XXI. THEOREM. 478. The acute angle which a straight line makes with its own projection on a plane is the least angle winch it makes with any line of that plane. Let BA meet the plane MN...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 σελίδες
...are at right angles to each other. 6. The acute angle which a line makes with its own projection on a plane, is the least angle which it makes with any line on the plane. See Def. of projection, and use the last Ex. and (I. 23). 7. If a plane be passed through...




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