...that point to the plane. Theorem 12. The acute angle which a line makes with its own projection on a plane is the least angle which it makes with any line in that plane. Given the line AB, cutting plane P at 0, A'B' the projection of AB on P, and XX' any...

...equidistant from the faces of the angle. 526. 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 the plane. 528. Between two straight lines not in the same plane, one common perpendicular can be drawn, and only...

...fht 128 . PROPOSITION XXIII. THEOREM 385. 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 in that plane. GIVEN — the straight line AS, its projection AC upon the plane MN, and AD any other...

...§ 528 QED PROPOSITION XXIII. THEOREM 585. 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 in that plane. GIVEN — the straight line AS, its projection AC upon the plane MN, and AB any other...

...projecting plane of the line AB upon the plane MN. PROPOSITION XXIV. THEOREM. 567. The acute angle which a straight line makes with its projection upon a plane...line drawn through A in the plane. To prove that Z BA C is less than Z BAD. Proof. Take AD equal to AC, and draw BD. In the A BA C and BAD, BA = BA, Iden....

...AB upon the plane MN. BOOK VI. SOLID GEOMETRY. PROPOSITION XXIV. THEOREM. 567. The acute angle which a straight line makes with its projection upon a plane...line drawn through A in the plane. To prove that Z #^(7 is less than Z BAD. Proof. Take A I> equal to AC, and draw BD. In the &BAC and BAD, BA = BA, Iden....

...angle which a line makes with a plane is the PROPOSITION XXIV. THEOREM. 567. The acute angle which a straight line makes with its projection upon a plane...other line drawn through A in the plane. To prove that Z.BAC is less than Z BAD. Proof. Take AD equal to AC, and draw BD. In the A BAC and BAD, BA = BA, Iden....

...angle which a line makes with a plane is the PROPOSITION XXIV. THEOREM. 567. The acute angle which a straight line makes with its projection upon a plane...with any line of the plane. Let BA meet the plane HN at A, and let AC be its projection upon the plane HN, and AD any other line drawn through A in the...

...perpendicular to that plane. 4 Prove that the acute angle which a straight line makes with its projection on a plane is the least angle which it makes with any line of the plane. 5 Complete and demonstrate the following: the volume of a triangular prism is equal to ... 6 Complete...

...str. line. (§ 396) PROP. XXVI. THEOREM. 449. The angle between a straight line and its projection on a plane is the least angle which it makes with any line drawn in the plane through its foot. JV Given line BC the projection of line AB on plane MN, and BD...